Warning: "continue" targeting switch is equivalent to "break". Did you mean to use "continue 2"? in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/json/FormatJson.php on line 297

Deprecated: Optional parameter $prefix declared before required parameter $code is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/languages/Language.php on line 4267

Deprecated: Return type of ResultWrapper::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 174

Deprecated: Return type of ResultWrapper::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 192

Deprecated: Return type of ResultWrapper::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 185

Deprecated: Return type of ResultWrapper::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 202

Deprecated: Return type of ResultWrapper::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/DatabaseUtility.php on line 163

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::open($save_path, $session_name) should either be compatible with SessionHandlerInterface::open(string $path, string $name): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 172

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::close() should either be compatible with SessionHandlerInterface::close(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 187

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::read($id) should either be compatible with SessionHandlerInterface::read(string $id): string|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 201

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::write($id, $dataStr) should either be compatible with SessionHandlerInterface::write(string $id, string $data): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 229

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::destroy($id) should either be compatible with SessionHandlerInterface::destroy(string $id): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 335

Deprecated: Return type of MediaWiki\Session\PHPSessionHandler::gc($maxlifetime) should either be compatible with SessionHandlerInterface::gc(int $max_lifetime): int|false, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/PHPSessionHandler.php on line 355

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Return type of MediaWiki\Session\Session::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 611

Deprecated: Return type of MediaWiki\Session\Session::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 616

Deprecated: Return type of MediaWiki\Session\Session::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 626

Deprecated: Return type of MediaWiki\Session\Session::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 621

Deprecated: Return type of MediaWiki\Session\Session::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 636

Deprecated: Return type of MediaWiki\Session\Session::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 631

Deprecated: Return type of MediaWiki\Session\Session::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 645

Deprecated: Return type of & MediaWiki\Session\Session::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 657

Deprecated: Return type of MediaWiki\Session\Session::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 666

Deprecated: Return type of MediaWiki\Session\Session::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/session/Session.php on line 670

Warning: Private methods cannot be final as they are never overridden by other classes in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/actions/Action.php on line 67

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Message implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Message.php on line 159

Deprecated: RawMessage implements the Serializable interface, which is deprecated. Implement __serialize() and __unserialize() instead (or in addition, if support for old PHP versions is necessary) in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Message.php on line 1250

Warning: "continue" targeting switch is equivalent to "break". Did you mean to use "continue 2"? in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/languages/LanguageConverter.php on line 757

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Optional parameter $label declared before required parameter $alt is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Linker.php on line 726

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: Optional parameter $label declared before required parameter $alt is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/DummyLinker.php on line 144

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Warning: Trying to access array offset on value of type null in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/profiler/SectionProfiler.php on line 104

Warning: Trying to access array offset on value of type null in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/profiler/SectionProfiler.php on line 104

Warning: Trying to access array offset on value of type null in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/profiler/SectionProfiler.php on line 105

Warning: Trying to access array offset on value of type null in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/profiler/SectionProfiler.php on line 105

Warning: Trying to access array offset on value of type null in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/profiler/SectionProfiler.php on line 106

Warning: Trying to access array offset on value of type null in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/profiler/SectionProfiler.php on line 106

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/skins/SkinTemplate.php on line 354

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: explode(): Passing null to parameter #2 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/languages/Language.php on line 2075

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: explode(): Passing null to parameter #2 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/languages/Language.php on line 2075

Deprecated: Optional parameter $attribs declared before required parameter $contents is implicitly treated as a required parameter in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/Xml.php on line 131

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745

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			<h1 id="firstHeading" class="firstHeading" lang="de">Bridges 2009</h1>
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									<div id="siteSub">Aus de_evolutionary_art_org</div>
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				<div id="mw-content-text" lang="de" dir="ltr" class="mw-content-ltr"><p><a href="/index.php?title=Konferenzen_und_Workshops_zur_Evolution%C3%A4ren_Kunst#The_Bridge_Conferences:_art_and_mathematics" title="Konferenzen und Workshops zur Evolutionären Kunst"> zurück zu The Bridge Conferences: art and mathematics</a> 
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<div id="toc" class="toc"><div id="toctitle"><h2>Inhaltsverzeichnis</h2></div>
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<li class="toclevel-1 tocsection-1"><a href="#Reference"><span class="tocnumber">1</span> <span class="toctext">Reference</span></a></li>
<li class="toclevel-1 tocsection-2"><a href="#DOI"><span class="tocnumber">2</span> <span class="toctext">DOI</span></a></li>
<li class="toclevel-1 tocsection-3"><a href="#Abstract"><span class="tocnumber">3</span> <span class="toctext">Abstract</span></a></li>
<li class="toclevel-1 tocsection-4"><a href="#Extended_Abstract"><span class="tocnumber">4</span> <span class="toctext">Extended Abstract</span></a></li>
<li class="toclevel-1 tocsection-5"><a href="#Reviews"><span class="tocnumber">5</span> <span class="toctext">Reviews</span></a></li>
<li class="toclevel-1 tocsection-6"><a href="#Bibtex"><span class="tocnumber">6</span> <span class="toctext">Bibtex</span></a></li>
<li class="toclevel-1 tocsection-7"><a href="#Table_of_contents"><span class="tocnumber">7</span> <span class="toctext">Table of contents</span></a></li>
<li class="toclevel-1 tocsection-8"><a href="#Links"><span class="tocnumber">8</span> <span class="toctext">Links</span></a>
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<li class="toclevel-2 tocsection-9"><a href="#Full_Text"><span class="tocnumber">8.1</span> <span class="toctext">Full Text</span></a></li>
<li class="toclevel-2 tocsection-10"><a href="#Sonstige_Links"><span class="tocnumber">8.2</span> <span class="toctext">Sonstige Links</span></a></li>
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<h2><span class="mw-headline" id="Reference">Reference</span></h2>
<p><a href="/index.php?title=Craig_S._Kaplan" title="Craig S. Kaplan">Craig S. Kaplan</a> and Reza Sarhangi: Bridges 2009, Mathematics, Music, Art, Architecture, Culture. 12th Annual Bridges Conference, The Banff Centre, Banff, Alberta, Canada, 2009. ISBN: 978-0-96652-020-0 
</p>
<h2><span class="mw-headline" id="DOI">DOI</span></h2>
<h2><span class="mw-headline" id="Abstract">Abstract</span></h2>
<h2><span class="mw-headline" id="Extended_Abstract">Extended Abstract</span></h2>
<h2><span class="mw-headline" id="Reviews">Reviews</span></h2>
<h2><span class="mw-headline" id="Bibtex">Bibtex</span></h2>
<h2><span class="mw-headline" id="Table_of_contents">Table of contents</span></h2>
<ul><li> The Editors: Front Matter <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/frontmatter.pdf">http://archive.bridgesmathart.org/2009/frontmatter.pdf</a></li></ul>
<ul><li> Erik Demaine and Martin Demaine: Mathematics Is Art. In: <strong class="selflink">Bridges 2009</strong>. Pages 1–10 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-1.html">http://archive.bridgesmathart.org/2009/bridges2009-1.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-1.pdf">http://archive.bridgesmathart.org/2009/bridges2009-1.pdf</a></li></ul>
<ul><li> Robert J. Lang: <a href="/index.php?title=Mathematical_Methods_in_Origami_Design" title="Mathematical Methods in Origami Design">Mathematical Methods in Origami Design</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 11–20 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-11.html">http://archive.bridgesmathart.org/2009/bridges2009-11.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-11.pdf">http://archive.bridgesmathart.org/2009/bridges2009-11.pdf</a></li></ul>
<ul><li> Jim Bumgardner: Kircher's Mechanical Composer: A Software Implementation. In: <strong class="selflink">Bridges 2009</strong>. Pages 21–28 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-21.html">http://archive.bridgesmathart.org/2009/bridges2009-21.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-21.pdf">http://archive.bridgesmathart.org/2009/bridges2009-21.pdf</a></li></ul>
<ul><li> Dmitri Tymoczko: Three Conceptions of Musical Distance. In: <strong class="selflink">Bridges 2009</strong>. Pages 29–38 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-29.html">http://archive.bridgesmathart.org/2009/bridges2009-29.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-29.pdf">http://archive.bridgesmathart.org/2009/bridges2009-29.pdf</a></li></ul>
<ul><li> David Swart: <a href="/index.php?title=Using_Turtles_and_Skeletons_to_Display_the_Viewable_Sphere" title="Using Turtles and Skeletons to Display the Viewable Sphere">Using Turtles and Skeletons to Display the Viewable Sphere</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 39–46 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-39.html">http://archive.bridgesmathart.org/2009/bridges2009-39.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-39.pdf">http://archive.bridgesmathart.org/2009/bridges2009-39.pdf</a></li></ul>
<ul><li> Goran Konjevod and Ana Maria Kuprešanin: Notation for a Class of Paperfolded Models. In: <strong class="selflink">Bridges 2009</strong>. Pages 47–54 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-47.html">http://archive.bridgesmathart.org/2009/bridges2009-47.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-47.pdf">http://archive.bridgesmathart.org/2009/bridges2009-47.pdf</a></li></ul>
<ul><li> Philip Van Loocke: <a href="/index.php?title=The_Art_of_Iterated_Function_Systems_with_Expanding_Functions" title="The Art of Iterated Function Systems with Expanding Functions">The Art of Iterated Function Systems with Expanding Functions</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 55–62 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-55.html">http://archive.bridgesmathart.org/2009/bridges2009-55.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-55.pdf">http://archive.bridgesmathart.org/2009/bridges2009-55.pdf</a></li></ul>
<ul><li> Karl Schaffer: Harmonious Dances. In: <strong class="selflink">Bridges 2009</strong>. Pages 63–68 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-63.html">http://archive.bridgesmathart.org/2009/bridges2009-63.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-63.pdf">http://archive.bridgesmathart.org/2009/bridges2009-63.pdf</a></li></ul>
<ul><li> Benjamin Wells and Philip Wagner: Bridging Art Museums and Middle School Math Classrooms. In: <strong class="selflink">Bridges 2009</strong>. Pages 69–78 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-69.html">http://archive.bridgesmathart.org/2009/bridges2009-69.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-69.pdf">http://archive.bridgesmathart.org/2009/bridges2009-69.pdf</a></li></ul>
<ul><li> Hartmut F.W. Höft: Combinatoria Poetica: Counting and Visualizing Rhyme Patterns in Sonnets. In: <strong class="selflink">Bridges 2009</strong>. Pages 79–86 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-79.html">http://archive.bridgesmathart.org/2009/bridges2009-79.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-79.pdf">http://archive.bridgesmathart.org/2009/bridges2009-79.pdf</a></li></ul>
<ul><li> Carlo H. Séquin: Tubular Sculptures. In: <strong class="selflink">Bridges 2009</strong>. Pages 87–96 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-87.html">http://archive.bridgesmathart.org/2009/bridges2009-87.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-87.pdf">http://archive.bridgesmathart.org/2009/bridges2009-87.pdf</a></li></ul>
<ul><li> Bruce Kessler: Comic Books That Teach Mathematics. In: <strong class="selflink">Bridges 2009</strong>. Pages 97–104 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-97.html">http://archive.bridgesmathart.org/2009/bridges2009-97.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-97.pdf">http://archive.bridgesmathart.org/2009/bridges2009-97.pdf</a></li></ul>
<ul><li> John Brosz, Sheelagh Carpendale, Faramarz Samavati, Hao Wang and Alan Dunning: Art and Nonlinear Projection. In: <strong class="selflink">Bridges 2009</strong>. Pages 105–114 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-105.html">http://archive.bridgesmathart.org/2009/bridges2009-105.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-105.pdf">http://archive.bridgesmathart.org/2009/bridges2009-105.pdf</a></li></ul>
<ul><li> Russell Hendel: <a href="/index.php?title=Aesthetically_Pleasing_Azulejo_Patterns" title="Aesthetically Pleasing Azulejo Patterns">Aesthetically Pleasing Azulejo Patterns</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 115–122 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-115.html">http://archive.bridgesmathart.org/2009/bridges2009-115.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-115.pdf">http://archive.bridgesmathart.org/2009/bridges2009-115.pdf</a></li></ul>
<ul><li> Carolyn Yackel: Marking a Physical Sphere with a Projected Platonic Solid. In: <strong class="selflink">Bridges 2009</strong>. Pages 123–130 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-123.html">http://archive.bridgesmathart.org/2009/bridges2009-123.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-123.pdf">http://archive.bridgesmathart.org/2009/bridges2009-123.pdf</a></li></ul>
<ul><li> Glenn Laigo, Ma. Louise Antonette N. De las Peñas and René Felix: Coloring Uniform Honeycombs. In: <strong class="selflink">Bridges 2009</strong>. Pages 131–138 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-131.html">http://archive.bridgesmathart.org/2009/bridges2009-131.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-131.pdf">http://archive.bridgesmathart.org/2009/bridges2009-131.pdf</a></li></ul>
<ul><li> Robert Bosch and Andrew Pike: <a href="/index.php?title=Map-Colored_Mosaics" title="Map-Colored Mosaics">Map-Colored Mosaics</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 139–146 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-139.html">http://archive.bridgesmathart.org/2009/bridges2009-139.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-139.pdf">http://archive.bridgesmathart.org/2009/bridges2009-139.pdf</a></li></ul>
<ul><li> B. Lynn Bodner: <a href="/index.php?title=The_Unique_Eleven-Pointed_Star_Polygon_Design_of_the_Topkap%C4%B1_Scroll" title="The Unique Eleven-Pointed Star Polygon Design of the Topkapı Scroll">The Unique Eleven-Pointed Star Polygon Design of the Topkapı Scroll</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 147–154 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-147.html">http://archive.bridgesmathart.org/2009/bridges2009-147.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-147.pdf">http://archive.bridgesmathart.org/2009/bridges2009-147.pdf</a></li></ul>
<ul><li> <a href="/index.php?title=Gary_Greenfield" title="Gary Greenfield">Gary Greenfield</a>: <a href="/index.php?title=Composite_Digital_Mosaics_using_Duotone_Tiles" title="Composite Digital Mosaics using Duotone Tiles">Composite Digital Mosaics using Duotone Tiles</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 155–162 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-155.html">http://archive.bridgesmathart.org/2009/bridges2009-155.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-155.pdf">http://archive.bridgesmathart.org/2009/bridges2009-155.pdf</a></li></ul>
<ul><li> Douglas Dunham: <a href="/index.php?title=The_Symmetry_of_%E2%80%9CCircle_Limit_IV%E2%80%9D_and_Related_Patterns" title="The Symmetry of “Circle Limit IV” and Related Patterns">The Symmetry of “Circle Limit IV” and Related Patterns</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 163–168 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-163.html">http://archive.bridgesmathart.org/2009/bridges2009-163.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-163.pdf">http://archive.bridgesmathart.org/2009/bridges2009-163.pdf</a></li></ul>
<ul><li> Vi Hart: Symmetry and Transformations in the Musical Plane. In: <strong class="selflink">Bridges 2009</strong>. Pages 169–176 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-169.html">http://archive.bridgesmathart.org/2009/bridges2009-169.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-169.pdf">http://archive.bridgesmathart.org/2009/bridges2009-169.pdf</a></li></ul>
<ul><li> B.G. Thomas: <a href="/index.php?title=Counterchange_Patterns_and_Polyhedra" title="Counterchange Patterns and Polyhedra">Counterchange Patterns and Polyhedra</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 177–182 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-177.html">http://archive.bridgesmathart.org/2009/bridges2009-177.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-177.pdf">http://archive.bridgesmathart.org/2009/bridges2009-177.pdf</a></li></ul>
<ul><li> Rinus Roelofs: <a href="/index.php?title=Non-Flat_Tilings_with_Flat_Tiles" title="Non-Flat Tilings with Flat Tiles">Non-Flat Tilings with Flat Tiles</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 183–192 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-183.html">http://archive.bridgesmathart.org/2009/bridges2009-183.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-183.pdf">http://archive.bridgesmathart.org/2009/bridges2009-183.pdf</a></li></ul>
<ul><li> Vladimir Bulatov: <a href="/index.php?title=Using_Polyhedral_Stellations_for_Creation_of_Organic_Geometric_Sculptures" title="Using Polyhedral Stellations for Creation of Organic Geometric Sculptures">Using Polyhedral Stellations for Creation of Organic Geometric Sculptures</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 193–198 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-193.html">http://archive.bridgesmathart.org/2009/bridges2009-193.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-193.pdf">http://archive.bridgesmathart.org/2009/bridges2009-193.pdf</a></li></ul>
<ul><li> Robert Rollings: Polyhedra Through the Beauty of Wood. In: <strong class="selflink">Bridges 2009</strong>. Pages 199–206 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-199.html">http://archive.bridgesmathart.org/2009/bridges2009-199.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-199.pdf">http://archive.bridgesmathart.org/2009/bridges2009-199.pdf</a></li></ul>
<ul><li> George Hart: <a href="/index.php?title=Growth_Forms" title="Growth Forms">Growth Forms</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 207–214 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-207.html">http://archive.bridgesmathart.org/2009/bridges2009-207.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-207.pdf">http://archive.bridgesmathart.org/2009/bridges2009-207.pdf</a></li></ul>
<ul><li> James Luke Akridge, Rachel Bowman, Peter Hamburger and Bruce Kessler: Using Works of Visual Art to Teach Matrix Transformations. In: <strong class="selflink">Bridges 2009</strong>. Pages 215–222 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-215.html">http://archive.bridgesmathart.org/2009/bridges2009-215.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-215.pdf">http://archive.bridgesmathart.org/2009/bridges2009-215.pdf</a></li></ul>
<ul><li> Tom Verhoeff and Koos Verhoeff: Regular 3D Polygonal Circuits of Constant Torsion. In: <strong class="selflink">Bridges 2009</strong>. Pages 223–230 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-223.html">http://archive.bridgesmathart.org/2009/bridges2009-223.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-223.pdf">http://archive.bridgesmathart.org/2009/bridges2009-223.pdf</a></li></ul>
<ul><li> Anne Burns: A Garden of Statistically Self-Similar Plants. In: <strong class="selflink">Bridges 2009</strong>. Pages 231–238 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-231.html">http://archive.bridgesmathart.org/2009/bridges2009-231.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-231.pdf">http://archive.bridgesmathart.org/2009/bridges2009-231.pdf</a></li></ul>
<ul><li> Akio Hizume and Yoshikazu Yamagishi: Real Tornado. In: <strong class="selflink">Bridges 2009</strong>. Pages 239–242 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-239.html">http://archive.bridgesmathart.org/2009/bridges2009-239.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-239.pdf">http://archive.bridgesmathart.org/2009/bridges2009-239.pdf</a></li></ul>
<ul><li> Paul Gailiunas: <a href="/index.php?title=Concave_Hexagons" title="Concave Hexagons">Concave Hexagons</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 243–250 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-243.html">http://archive.bridgesmathart.org/2009/bridges2009-243.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-243.pdf">http://archive.bridgesmathart.org/2009/bridges2009-243.pdf</a></li></ul>
<ul><li> Robert Fathauer: A New Method for Designing Iterated Knots. In: <strong class="selflink">Bridges 2009</strong>. Pages 251–258 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-251.html">http://archive.bridgesmathart.org/2009/bridges2009-251.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-251.pdf">http://archive.bridgesmathart.org/2009/bridges2009-251.pdf</a></li></ul>
<ul><li> Jay Zimmerman: A Group Portrait on a Surface of Genus Five. In: <strong class="selflink">Bridges 2009</strong>. Pages 259–264 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-259.html">http://archive.bridgesmathart.org/2009/bridges2009-259.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-259.pdf">http://archive.bridgesmathart.org/2009/bridges2009-259.pdf</a></li></ul>
<ul><li> Carl Bracken, Gary Fitzpatrick and Nadya Markin: Tiling the Musical Canon with Augmentations of the Ashanti Rhythmic Pattern. In: <strong class="selflink">Bridges 2009</strong>. Pages 265–270 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-265.html">http://archive.bridgesmathart.org/2009/bridges2009-265.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-265.pdf">http://archive.bridgesmathart.org/2009/bridges2009-265.pdf</a></li></ul>
<ul><li> Walt van Ballegooijen, Paul Gailiunas and Dániel Erdély: Spidronised Space-Fillers. In: <strong class="selflink">Bridges 2009</strong>. Pages 271–278 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-271.html">http://archive.bridgesmathart.org/2009/bridges2009-271.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-271.pdf">http://archive.bridgesmathart.org/2009/bridges2009-271.pdf</a></li></ul>
<ul><li> Susan Gerofsky, Francisco Gomez, David Rappaport and Godfried Toussaint: Spirograph Patterns and Circular Representations of Rhythm: Exploring Number Theory Concepts Through Visual, Tangible and Audible Representations. In: <strong class="selflink">Bridges 2009</strong>. Pages 279–286 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-279.html">http://archive.bridgesmathart.org/2009/bridges2009-279.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-279.pdf">http://archive.bridgesmathart.org/2009/bridges2009-279.pdf</a></li></ul>
<ul><li> Susan McBurney: On Constructing a Virtual Loom. In: <strong class="selflink">Bridges 2009</strong>. Pages 287–292 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-287.html">http://archive.bridgesmathart.org/2009/bridges2009-287.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-287.pdf">http://archive.bridgesmathart.org/2009/bridges2009-287.pdf</a></li></ul>
<ul><li> Katayoon Etemad and Sheelagh Carpendale: ShamsehTrees: Providing Hierarchical Context for Nodes of Interest. In: <strong class="selflink">Bridges 2009</strong>. Pages 293–300 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-293.html">http://archive.bridgesmathart.org/2009/bridges2009-293.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-293.pdf">http://archive.bridgesmathart.org/2009/bridges2009-293.pdf</a></li></ul>
<ul><li> Bathsheba Grossman: Talking About Math/Art: The Long Pause. In: <strong class="selflink">Bridges 2009</strong>. Pages 301–302 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-301.html">http://archive.bridgesmathart.org/2009/bridges2009-301.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-301.pdf">http://archive.bridgesmathart.org/2009/bridges2009-301.pdf</a></li></ul>
<ul><li> Jim Bumgardner: The Whitney Music Box. In: <strong class="selflink">Bridges 2009</strong>. Pages 303–304 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-303.html">http://archive.bridgesmathart.org/2009/bridges2009-303.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-303.pdf">http://archive.bridgesmathart.org/2009/bridges2009-303.pdf</a></li></ul>
<ul><li> Darrah Chavey: Mathematical Experiments with African Sona Designs. In: <strong class="selflink">Bridges 2009</strong>. Pages 305–308 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-305.html">http://archive.bridgesmathart.org/2009/bridges2009-305.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-305.pdf">http://archive.bridgesmathart.org/2009/bridges2009-305.pdf</a></li></ul>
<ul><li> Gail Kaplan: Honors Seminar: A Creative Interdisciplinary Approach for Student Exploration. In: <strong class="selflink">Bridges 2009</strong>. Pages 309–312 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-309.html">http://archive.bridgesmathart.org/2009/bridges2009-309.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-309.pdf">http://archive.bridgesmathart.org/2009/bridges2009-309.pdf</a></li></ul>
<ul><li> Mehrdad Garousi and Khalil Taleslami: <a href="/index.php?title=Realistic_Image_Making_with_Mandelbrot_Set" title="Realistic Image Making with Mandelbrot Set">Realistic Image Making with Mandelbrot Set</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 313–314 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-313.html">http://archive.bridgesmathart.org/2009/bridges2009-313.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-313.pdf">http://archive.bridgesmathart.org/2009/bridges2009-313.pdf</a></li></ul>
<ul><li> Tamara Lakins: An Interdisciplinary First Seminar on Symmetry. In: <strong class="selflink">Bridges 2009</strong>. Pages 315–316 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-315.html">http://archive.bridgesmathart.org/2009/bridges2009-315.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-315.pdf">http://archive.bridgesmathart.org/2009/bridges2009-315.pdf</a></li></ul>
<ul><li> Peter Smith: This Equation is Art. In: <strong class="selflink">Bridges 2009</strong>. Pages 317–318 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-317.html">http://archive.bridgesmathart.org/2009/bridges2009-317.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-317.pdf">http://archive.bridgesmathart.org/2009/bridges2009-317.pdf</a></li></ul>
<ul><li> André Génard: <a href="/index.php?title=ZenArt,_graphic_geometrical_modules" title="ZenArt, graphic geometrical modules">ZenArt, graphic geometrical modules</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 319–320 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-319.html">http://archive.bridgesmathart.org/2009/bridges2009-319.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-319.pdf">http://archive.bridgesmathart.org/2009/bridges2009-319.pdf</a></li></ul>
<ul><li> Samuel Verbiese: Amazing Labyrinths, further Amazing Labyrinths, further developments. In: <strong class="selflink">Bridges 2009</strong>. Pages 321–322 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-321.html">http://archive.bridgesmathart.org/2009/bridges2009-321.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-321.pdf">http://archive.bridgesmathart.org/2009/bridges2009-321.pdf</a></li></ul>
<ul><li> Edward Belbruno: Finding a New Route to the Moon Using Paintings. In: <strong class="selflink">Bridges 2009</strong>. Pages 323–324 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-323.html">http://archive.bridgesmathart.org/2009/bridges2009-323.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-323.pdf">http://archive.bridgesmathart.org/2009/bridges2009-323.pdf</a></li></ul>
<ul><li> David Reimann: <a href="/index.php?title=Text_from_Truchet_Tiles" title="Text from Truchet Tiles">Text from Truchet Tiles</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 325–326 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-325.html">http://archive.bridgesmathart.org/2009/bridges2009-325.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-325.pdf">http://archive.bridgesmathart.org/2009/bridges2009-325.pdf</a></li></ul>
<ul><li> Sandy Spitzer: Geometry and Geodesy: Estimating the Earth's Circumference with Prospective Elementary Teachers. In: <strong class="selflink">Bridges 2009</strong>. Pages 327–328 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-327.html">http://archive.bridgesmathart.org/2009/bridges2009-327.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-327.pdf">http://archive.bridgesmathart.org/2009/bridges2009-327.pdf</a></li></ul>
<ul><li> Liselott Flodén, Anders Holmbom, Marianne Olsson and Jens Persson: A Myriad Shades of Green. In: <strong class="selflink">Bridges 2009</strong>. Pages 329–330 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-329.html">http://archive.bridgesmathart.org/2009/bridges2009-329.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-329.pdf">http://archive.bridgesmathart.org/2009/bridges2009-329.pdf</a></li></ul>
<ul><li> Fatma Mete: Geometric Transformations in Surface Design Generation. In: <strong class="selflink">Bridges 2009</strong>. Pages 331–332 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-331.html">http://archive.bridgesmathart.org/2009/bridges2009-331.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-331.pdf">http://archive.bridgesmathart.org/2009/bridges2009-331.pdf</a></li></ul>
<ul><li> Brian Evans: The Quinary—Permuting Meaning with Generative Poetry. In: <strong class="selflink">Bridges 2009</strong>. Pages 333–334 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-333.html">http://archive.bridgesmathart.org/2009/bridges2009-333.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-333.pdf">http://archive.bridgesmathart.org/2009/bridges2009-333.pdf</a></li></ul>
<ul><li> Curtis Palmer: <a href="/index.php?title=Spelunking_Adventure_II:_Combining_Cyclons" title="Spelunking Adventure II: Combining Cyclons">Spelunking Adventure II: Combining Cyclons</a>. In: <strong class="selflink">Bridges 2009</strong>. Pages 335–336 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-335.html">http://archive.bridgesmathart.org/2009/bridges2009-335.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-335.pdf">http://archive.bridgesmathart.org/2009/bridges2009-335.pdf</a></li></ul>
<ul><li> Wolfgang Baatz, Massimo Fornasier, Peter A. Markowich and Carola-Bibiane Schönlieb: Binary Based Fresco Restoration. In: <strong class="selflink">Bridges 2009</strong>. Pages 337–338 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-337.html">http://archive.bridgesmathart.org/2009/bridges2009-337.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-337.pdf">http://archive.bridgesmathart.org/2009/bridges2009-337.pdf</a></li></ul>
<ul><li> Joel Varland: Plane, Space, Cubism and Perpetual Displacement in 3D Design. In: <strong class="selflink">Bridges 2009</strong>. Pages 339–340 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-339.html">http://archive.bridgesmathart.org/2009/bridges2009-339.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-339.pdf">http://archive.bridgesmathart.org/2009/bridges2009-339.pdf</a></li></ul>
<ul><li> Elaine F. Ellison: Mathematical Classroom Quilts. In: <strong class="selflink">Bridges 2009</strong>. Pages 341–342 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-341.html">http://archive.bridgesmathart.org/2009/bridges2009-341.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-341.pdf">http://archive.bridgesmathart.org/2009/bridges2009-341.pdf</a></li></ul>
<ul><li> Stephen Luecking: Mathematical Iconography in Gaudí's Cosmos. In: <strong class="selflink">Bridges 2009</strong>. Pages 343–344 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-343.html">http://archive.bridgesmathart.org/2009/bridges2009-343.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-343.pdf">http://archive.bridgesmathart.org/2009/bridges2009-343.pdf</a></li></ul>
<ul><li> Susan Happersett: Chaos – The Movie. In: <strong class="selflink">Bridges 2009</strong>. Pages 345–346 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-345.html">http://archive.bridgesmathart.org/2009/bridges2009-345.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-345.pdf">http://archive.bridgesmathart.org/2009/bridges2009-345.pdf</a></li></ul>
<ul><li> Michael Frantz: The Frustrated Mathematician. In: <strong class="selflink">Bridges 2009</strong>. Pages 347–348 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-347.html">http://archive.bridgesmathart.org/2009/bridges2009-347.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-347.pdf">http://archive.bridgesmathart.org/2009/bridges2009-347.pdf</a></li></ul>
<ul><li> Billy C. Scannell, Ben Van Dusen and R.P. Taylor: An Optical Demonstration of Fractal Geometry. In: <strong class="selflink">Bridges 2009</strong>. Pages 349–350 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-349.html">http://archive.bridgesmathart.org/2009/bridges2009-349.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-349.pdf">http://archive.bridgesmathart.org/2009/bridges2009-349.pdf</a></li></ul>
<ul><li> S. Louise Gould: Using Geometer's Sketchpad to Construct Pop-up Polyhedra as a Tool for Classroom Study of Geometry. In: <strong class="selflink">Bridges 2009</strong>. Pages 351–354 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-351.html">http://archive.bridgesmathart.org/2009/bridges2009-351.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-351.pdf">http://archive.bridgesmathart.org/2009/bridges2009-351.pdf</a></li></ul>
<ul><li> Krystyna Laycraft: Chaos, Complexity, and Creativity. In: <strong class="selflink">Bridges 2009</strong>. Pages 355–362 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-355.html">http://archive.bridgesmathart.org/2009/bridges2009-355.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-355.pdf">http://archive.bridgesmathart.org/2009/bridges2009-355.pdf</a></li></ul>
<ul><li> Suzie Garfield: Stories Count: Narrative Approaches to Quantitative Learning. In: <strong class="selflink">Bridges 2009</strong>. Pages 363–366 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-363.html">http://archive.bridgesmathart.org/2009/bridges2009-363.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-363.pdf">http://archive.bridgesmathart.org/2009/bridges2009-363.pdf</a></li></ul>
<ul><li> E.B. Meenan and B.G. Thomas: Creating Islamic Patterns from Folded Shapes. In: <strong class="selflink">Bridges 2009</strong>. Pages 367–374 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-367.html">http://archive.bridgesmathart.org/2009/bridges2009-367.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-367.pdf">http://archive.bridgesmathart.org/2009/bridges2009-367.pdf</a></li></ul>
<ul><li> Patricia Bentley: Workshop: Working With Patterns To Introduce Mathematics Concepts To Young Children. In: <strong class="selflink">Bridges 2009</strong>. Pages 375–378 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-375.html">http://archive.bridgesmathart.org/2009/bridges2009-375.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-375.pdf">http://archive.bridgesmathart.org/2009/bridges2009-375.pdf</a></li></ul>
<ul><li> Eva Knoll and Tara Taylor: Exploring Some of the Mathematical Properties of Chains. In: <strong class="selflink">Bridges 2009</strong>. Pages 379–382 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-379.html">http://archive.bridgesmathart.org/2009/bridges2009-379.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-379.pdf">http://archive.bridgesmathart.org/2009/bridges2009-379.pdf</a></li></ul>
<ul><li> Susan Gerofsky: Bridges 09 Interactive Workshop: The Geometry of Longsword and Rapper Sword Locks. In: <strong class="selflink">Bridges 2009</strong>. Pages 383–384 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-383.html">http://archive.bridgesmathart.org/2009/bridges2009-383.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-383.pdf">http://archive.bridgesmathart.org/2009/bridges2009-383.pdf</a></li></ul>
<ul><li> Greg Beiles and Daphne Rosenwald: The Beautiful Triangle. In: <strong class="selflink">Bridges 2009</strong>. Pages 385–388 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-385.html">http://archive.bridgesmathart.org/2009/bridges2009-385.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-385.pdf">http://archive.bridgesmathart.org/2009/bridges2009-385.pdf</a></li></ul>
<ul><li> Duncan Melville and Sarah Melville: Perspectives on Perspective. In: <strong class="selflink">Bridges 2009</strong>. Pages 389–394 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-389.html">http://archive.bridgesmathart.org/2009/bridges2009-389.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-389.pdf">http://archive.bridgesmathart.org/2009/bridges2009-389.pdf</a></li></ul>
<ul><li> Benjamin Wells and Philip Wagner: Workshop on The Fusion Project: Bridging Art Museums and Middle School Math Teachers. In: <strong class="selflink">Bridges 2009</strong>. Pages 395–402 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-395.html">http://archive.bridgesmathart.org/2009/bridges2009-395.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-395.pdf">http://archive.bridgesmathart.org/2009/bridges2009-395.pdf</a></li></ul>
<ul><li> Robert McDermott: A Workshop to Build Three Simple Tensegrity Models for K-12 Mathematics Classrooms. In: <strong class="selflink">Bridges 2009</strong>. Pages 403–408 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-403.html">http://archive.bridgesmathart.org/2009/bridges2009-403.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-403.pdf">http://archive.bridgesmathart.org/2009/bridges2009-403.pdf</a></li></ul>
<ul><li> Eva Knoll: Transferring Patterns: From Twill to Peyote Stitch. In: <strong class="selflink">Bridges 2009</strong>. Pages 409–412 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-409.html">http://archive.bridgesmathart.org/2009/bridges2009-409.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2009/bridges2009-409.pdf">http://archive.bridgesmathart.org/2009/bridges2009-409.pdf</a></li></ul>
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Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: header(): Passing null to parameter #3 ($response_code) of type int is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/WebResponse.php on line 42

Deprecated: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in /mnt/web618/b0/56/5203556/htdocs/mediawiki_01/includes/db/Database.php on line 1745