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

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: 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: 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: 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: 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: 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 $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: 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

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

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			<h1 id="firstHeading" class="firstHeading" lang="de">Bridges 2007</h1>
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									<div id="siteSub">Aus de_evolutionary_art_org</div>
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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>Reza Sarhangi and Javier Barrallo: Bridges 2007, Mathematics, Music, Art, Architecture, Culture. 10th Annual Bridges Conference, School of Architecture, University of the Basque Country San Sebastian (Donostia), Spain, 2007. ISBN: 0-9665201-8-1 
</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/2007/frontmatter.pdf">http://archive.bridgesmathart.org/2007/frontmatter.pdf</a></li></ul>
<ul><li> George W. Hart: Modular Kirigami. Pages 1–8 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-1.html">http://archive.bridgesmathart.org/2007/bridges2007-1.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-1.pdf">http://archive.bridgesmathart.org/2007/bridges2007-1.pdf</a></li></ul>
<ul><li> Paul Gailiunas: Some Monohedral Tilings Derived From Regular Polygons. Pages 9–14 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-9.html">http://archive.bridgesmathart.org/2007/bridges2007-9.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-9.pdf">http://archive.bridgesmathart.org/2007/bridges2007-9.pdf</a></li></ul>
<ul><li> Gary R. Greenfield: Composite Diffusion Limited Aggregation Paintings. Pages 15–20 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-15.html">http://archive.bridgesmathart.org/2007/bridges2007-15.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-15.pdf">http://archive.bridgesmathart.org/2007/bridges2007-15.pdf</a></li></ul>
<ul><li> Greg N. Frederickson: Symmetry and Structure in Twist-Hinged Dissections of Polygonal Rings and Polygonal Anti-Rings. Pages 21–28 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-21.html">http://archive.bridgesmathart.org/2007/bridges2007-21.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-21.pdf">http://archive.bridgesmathart.org/2007/bridges2007-21.pdf</a></li></ul>
<ul><li> Anne M. Burns: Imaginary Gardens - A Model for Imitating Plant Growth. Pages 29–36 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-29.html">http://archive.bridgesmathart.org/2007/bridges2007-29.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-29.pdf">http://archive.bridgesmathart.org/2007/bridges2007-29.pdf</a></li></ul>
<ul><li> Hourieh Mashayekh and Hayedeh Mashayekh: Allahverdi Khan Bridge (Si-O-Seh Pol) of Esfahan, An Example of Art and Mathematics. Pages 37–38 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-37.html">http://archive.bridgesmathart.org/2007/bridges2007-37.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-37.pdf">http://archive.bridgesmathart.org/2007/bridges2007-37.pdf</a></li></ul>
<ul><li> Jack Tait: Light, Movement and 3D - Light images Viewed as Photographs. Pages 39–46 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-39.html">http://archive.bridgesmathart.org/2007/bridges2007-39.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-39.pdf">http://archive.bridgesmathart.org/2007/bridges2007-39.pdf</a></li></ul>
<ul><li> Tevfik Akgün, Irfan Kaya, Ahmet Koman and Ergun Akleman: Spiral Developable Sculptures of Ilhan Koman. Pages 47–52 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-47.html">http://archive.bridgesmathart.org/2007/bridges2007-47.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-47.pdf">http://archive.bridgesmathart.org/2007/bridges2007-47.pdf</a></li></ul>
<ul><li> Dirk Huylebrouck: "Gödel, Escher, Bach", in other Eras. Pages 53–58 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-53.html">http://archive.bridgesmathart.org/2007/bridges2007-53.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-53.pdf">http://archive.bridgesmathart.org/2007/bridges2007-53.pdf</a></li></ul>
<ul><li> Gail Kaplan: Mathematics and Symmetry: A Bridge to Understanding. Pages 59–66 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-59.html">http://archive.bridgesmathart.org/2007/bridges2007-59.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-59.pdf">http://archive.bridgesmathart.org/2007/bridges2007-59.pdf</a></li></ul>
<ul><li> Ricardo Zalaya Báez: A Proposal for the Classification of Mathematical Sculpture. Pages 67–74 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-67.html">http://archive.bridgesmathart.org/2007/bridges2007-67.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-67.pdf">http://archive.bridgesmathart.org/2007/bridges2007-67.pdf</a></li></ul>
<ul><li> Susan McBurney: The Spirograph and Beyond. Pages 75–80 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-75.html">http://archive.bridgesmathart.org/2007/bridges2007-75.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-75.pdf">http://archive.bridgesmathart.org/2007/bridges2007-75.pdf</a></li></ul>
<ul><li> Rinus Roelofs: Entwined Circular Rings. Pages 81–90 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-81.html">http://archive.bridgesmathart.org/2007/bridges2007-81.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-81.pdf">http://archive.bridgesmathart.org/2007/bridges2007-81.pdf</a></li></ul>
<ul><li> Peter Hamburger, Edit Hepp and Richard Wartell: 2D and 3D Animation Using Rotations of a Jordan Curve. Pages 91–98 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-91.html">http://archive.bridgesmathart.org/2007/bridges2007-91.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-91.pdf">http://archive.bridgesmathart.org/2007/bridges2007-91.pdf</a></li></ul>
<ul><li> Francisco Gómez, Imad Khoury, Jörg Kienzle, Erin McLeish, Andrew Melvin, Rolando Pérez-Fernández, David Rappaport and Godfried Toussaint: Mathematical Models for Binarization and Ternarization of Musical Rhythm. Pages 99–108 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-99.html">http://archive.bridgesmathart.org/2007/bridges2007-99.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-99.pdf">http://archive.bridgesmathart.org/2007/bridges2007-99.pdf</a></li></ul>
<ul><li> Jay Zimmerman: Portraits of Groups II, Orientation Reversing Actions. Pages 109–114 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-109.html">http://archive.bridgesmathart.org/2007/bridges2007-109.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-109.pdf">http://archive.bridgesmathart.org/2007/bridges2007-109.pdf</a></li></ul>
<ul><li> S. Louise Gould: Baskets for the Mathematics Classroom. Pages 115–122 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-115.html">http://archive.bridgesmathart.org/2007/bridges2007-115.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-115.pdf">http://archive.bridgesmathart.org/2007/bridges2007-115.pdf</a></li></ul>
<ul><li> Elisa Prato: The Pentagram: From the Goddess to Symplectic Geometry. Pages 123–126 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-123.html">http://archive.bridgesmathart.org/2007/bridges2007-123.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-123.pdf">http://archive.bridgesmathart.org/2007/bridges2007-123.pdf</a></li></ul>
<ul><li> James L. Mai: The Modular Color Palette: Systems of Color Selection in the Paintings of James Mai. Pages 127–134 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-127.html">http://archive.bridgesmathart.org/2007/bridges2007-127.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-127.pdf">http://archive.bridgesmathart.org/2007/bridges2007-127.pdf</a></li></ul>
<ul><li> Bruce Kessler: A "Sound" Approach to Fourier Transforms: Using Music to Teach Trigonometry. Pages 135–142 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-135.html">http://archive.bridgesmathart.org/2007/bridges2007-135.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-135.pdf">http://archive.bridgesmathart.org/2007/bridges2007-135.pdf</a></li></ul>
<ul><li> Rozhkovskaya Natasha: Magritte: Analogies in Mathematical Reasoning. Pages 143–146 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-143.html">http://archive.bridgesmathart.org/2007/bridges2007-143.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-143.pdf">http://archive.bridgesmathart.org/2007/bridges2007-143.pdf</a></li></ul>
<ul><li> Rebecca Kessler: Zany Projects - The Art of Mixing Compass with Computer. Pages 147–148 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-147.html">http://archive.bridgesmathart.org/2007/bridges2007-147.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-147.pdf">http://archive.bridgesmathart.org/2007/bridges2007-147.pdf</a></li></ul>
<ul><li> Carla Farsi: Breaking Color Symmetry. Pages 149–150 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-149.html">http://archive.bridgesmathart.org/2007/bridges2007-149.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-149.pdf">http://archive.bridgesmathart.org/2007/bridges2007-149.pdf</a></li></ul>
<ul><li> Benjamin Wells: Addled Tangles of Sanguine Language - an Eclectic Syncretic Syntactic Taxonomy. Pages 151–160 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-151.html">http://archive.bridgesmathart.org/2007/bridges2007-151.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-151.pdf">http://archive.bridgesmathart.org/2007/bridges2007-151.pdf</a></li></ul>
<ul><li> M.A. Hann and B.G. Thomas: Structure and Form in the Design Curriculum. Pages 161–168 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-161.html">http://archive.bridgesmathart.org/2007/bridges2007-161.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-161.pdf">http://archive.bridgesmathart.org/2007/bridges2007-161.pdf</a></li></ul>
<ul><li> N.G. Nicolis: Electrostatic Patterns in the Interior of a Circular Region. Pages 169–176 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-169.html">http://archive.bridgesmathart.org/2007/bridges2007-169.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-169.pdf">http://archive.bridgesmathart.org/2007/bridges2007-169.pdf</a></li></ul>
<ul><li> I.A. de Kok, T. Lucassen and Zs. Ruttkay: Ricochet Compositions. Pages 177–180 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-177.html">http://archive.bridgesmathart.org/2007/bridges2007-177.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-177.pdf">http://archive.bridgesmathart.org/2007/bridges2007-177.pdf</a></li></ul>
<ul><li> T. D. Taylor: Golden Fractal Trees. Pages 181–188 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-181.html">http://archive.bridgesmathart.org/2007/bridges2007-181.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-181.pdf">http://archive.bridgesmathart.org/2007/bridges2007-181.pdf</a></li></ul>
<ul><li> Benjamin Storch: Anticlastic Form - Manifesting Fields of Tension. Pages 189–194 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-189.html">http://archive.bridgesmathart.org/2007/bridges2007-189.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-189.pdf">http://archive.bridgesmathart.org/2007/bridges2007-189.pdf</a></li></ul>
<ul><li> B.G. Thomas and M.A. Hann: Patterned Polyhedra: Tiling the Platonic Solids. Pages 195–202 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-195.html">http://archive.bridgesmathart.org/2007/bridges2007-195.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-195.pdf">http://archive.bridgesmathart.org/2007/bridges2007-195.pdf</a></li></ul>
<ul><li> B. Lynn Bodner: Frieze Patterns of the Alhambra. Pages 203–208 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-203.html">http://archive.bridgesmathart.org/2007/bridges2007-203.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-203.pdf">http://archive.bridgesmathart.org/2007/bridges2007-203.pdf</a></li></ul>
<ul><li> Özgür Gönen, Ergun Akleman and Vinod Srinivasan: Modeling D-Forms. Pages 209–216 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-209.html">http://archive.bridgesmathart.org/2007/bridges2007-209.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-209.pdf">http://archive.bridgesmathart.org/2007/bridges2007-209.pdf</a></li></ul>
<ul><li> Alan Sutcliffe: A Simple Procedure to Generate Curves and Surfaces. Pages 217–224 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-217.html">http://archive.bridgesmathart.org/2007/bridges2007-217.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-217.pdf">http://archive.bridgesmathart.org/2007/bridges2007-217.pdf</a></li></ul>
<ul><li> Douglas McKenna: The 7 Curve, Carpets, Quilts, and Other Asymmetric, Square-Filling, Threaded Tile Designs. Pages 225–232 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-225.html">http://archive.bridgesmathart.org/2007/bridges2007-225.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-225.pdf">http://archive.bridgesmathart.org/2007/bridges2007-225.pdf</a></li></ul>
<ul><li> Reza Sarhangi: Geometric Constructions and their Arts in Historical Perspective. Pages 233–240 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-233.html">http://archive.bridgesmathart.org/2007/bridges2007-233.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-233.pdf">http://archive.bridgesmathart.org/2007/bridges2007-233.pdf</a></li></ul>
<ul><li> Jessica K. Sklar: The Ideal Vacuum: Visual Metaphors for Algebraic Concepts. Pages 241–246 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-241.html">http://archive.bridgesmathart.org/2007/bridges2007-241.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-241.pdf">http://archive.bridgesmathart.org/2007/bridges2007-241.pdf</a></li></ul>
<ul><li> Yutu Liu, Hernan Molina and Ergun Akleman: Inout Sculptures. Pages 247–252 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-247.html">http://archive.bridgesmathart.org/2007/bridges2007-247.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-247.pdf">http://archive.bridgesmathart.org/2007/bridges2007-247.pdf</a></li></ul>
<ul><li> Chris Bartlett: Painting by the Numbers: A Porter Postscript. Pages 253–258 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-253.html">http://archive.bridgesmathart.org/2007/bridges2007-253.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-253.pdf">http://archive.bridgesmathart.org/2007/bridges2007-253.pdf</a></li></ul>
<ul><li> Rachel W. Hall and Dmitri Tymoczko: Poverty and Polyphony: A Connection between Economics and Music. Pages 259–268 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-259.html">http://archive.bridgesmathart.org/2007/bridges2007-259.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-259.pdf">http://archive.bridgesmathart.org/2007/bridges2007-259.pdf</a></li></ul>
<ul><li> Glyn M. Rimmington and Mara Alagic: From Modeling Foliage with L-systems to Digital Art. Pages 269–276 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-269.html">http://archive.bridgesmathart.org/2007/bridges2007-269.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-269.pdf">http://archive.bridgesmathart.org/2007/bridges2007-269.pdf</a></li></ul>
<ul><li> Hideki Tsuiki: Does it Look Square? Hexagonal Bipyramids, Triangular Antiprismoids, and their Fractals. Pages 277–286 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-277.html">http://archive.bridgesmathart.org/2007/bridges2007-277.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-277.pdf">http://archive.bridgesmathart.org/2007/bridges2007-277.pdf</a></li></ul>
<ul><li> Farzad Mahootian: Shape, Time and Chemistry: Some Platonic Meditations. Pages 287–288 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-287.html">http://archive.bridgesmathart.org/2007/bridges2007-287.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-287.pdf">http://archive.bridgesmathart.org/2007/bridges2007-287.pdf</a></li></ul>
<ul><li> James Mai and Daylene Zielinski: Shiva: Two Views of Burnside's Lemma at Work. Pages 289–296 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-289.html">http://archive.bridgesmathart.org/2007/bridges2007-289.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-289.pdf">http://archive.bridgesmathart.org/2007/bridges2007-289.pdf</a></li></ul>
<ul><li> Vinod Srinivasan, Hernan Molina and Ergun Akleman: Modeling High Genus Sculptures Using Multi-Connected Handles and Holes. Pages 297–302 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-297.html">http://archive.bridgesmathart.org/2007/bridges2007-297.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-297.pdf">http://archive.bridgesmathart.org/2007/bridges2007-297.pdf</a></li></ul>
<ul><li> Ann Robertson: Revisiting the Geometry of the Sala de Dos Hermanas. Pages 303–310 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-303.html">http://archive.bridgesmathart.org/2007/bridges2007-303.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-303.pdf">http://archive.bridgesmathart.org/2007/bridges2007-303.pdf</a></li></ul>
<ul><li> Jay Kappraff: Ancient Harmonic Law. Pages 311–312 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-311.html">http://archive.bridgesmathart.org/2007/bridges2007-311.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-311.pdf">http://archive.bridgesmathart.org/2007/bridges2007-311.pdf</a></li></ul>
<ul><li> Russell Jay Hendel: The Effect of Human Experience on Formal Word Meaning. Pages 313–314 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-313.html">http://archive.bridgesmathart.org/2007/bridges2007-313.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-313.pdf">http://archive.bridgesmathart.org/2007/bridges2007-313.pdf</a></li></ul>
<ul><li> Artemis Moroni, Rafael Bocaletto Maiolla and Jônatas Manzolli: Transgenic Visual-and-Sound Compositions. Pages 315–322 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-315.html">http://archive.bridgesmathart.org/2007/bridges2007-315.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-315.pdf">http://archive.bridgesmathart.org/2007/bridges2007-315.pdf</a></li></ul>
<ul><li> Cristina Argumedo, Mª Francisca Blanco, Dora Giordano and Miriam Pisonero: Geometry and New Urban Order. Pages 323–330 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-323.html">http://archive.bridgesmathart.org/2007/bridges2007-323.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-323.pdf">http://archive.bridgesmathart.org/2007/bridges2007-323.pdf</a></li></ul>
<ul><li> William P. Bintz and Sara Delano Moore: The Power and Potential of Art in Literature to Teach Mathematics. Pages 331–332 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-331.html">http://archive.bridgesmathart.org/2007/bridges2007-331.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-331.pdf">http://archive.bridgesmathart.org/2007/bridges2007-331.pdf</a></li></ul>
<ul><li> James Dean Palmer: Planar Symmetry with Turtles. Pages 333–334 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-333.html">http://archive.bridgesmathart.org/2007/bridges2007-333.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-333.pdf">http://archive.bridgesmathart.org/2007/bridges2007-333.pdf</a></li></ul>
<ul><li> Robert W. Fathauer: Fractal Knots Created by Iterative Substitution. Pages 335–342 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-335.html">http://archive.bridgesmathart.org/2007/bridges2007-335.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-335.pdf">http://archive.bridgesmathart.org/2007/bridges2007-335.pdf</a></li></ul>
<ul><li> Douglas G. Burkholder: Sculptures which Stellarize Non-Planar Hexagons. Pages 343–350 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-343.html">http://archive.bridgesmathart.org/2007/bridges2007-343.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-343.pdf">http://archive.bridgesmathart.org/2007/bridges2007-343.pdf</a></li></ul>
<ul><li> Robert Bosch: Edge-Constrained Tile Mosaics. Pages 351–360 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-351.html">http://archive.bridgesmathart.org/2007/bridges2007-351.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-351.pdf">http://archive.bridgesmathart.org/2007/bridges2007-351.pdf</a></li></ul>
<ul><li> Ma. Louise Antonette N. De Las Peñas, Glenn R. Laigo and Eden Delight B. Provido: Hyperbolic Semi-Regular Tilings and their Symmetry Properties. Pages 361–368 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-361.html">http://archive.bridgesmathart.org/2007/bridges2007-361.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-361.pdf">http://archive.bridgesmathart.org/2007/bridges2007-361.pdf</a></li></ul>
<ul><li> Charalampos Saitis: Fractal Art: Closer to Heaven? Modern Mathematics, the art of Nature, and the nature of Art. Pages 369–376 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-369.html">http://archive.bridgesmathart.org/2007/bridges2007-369.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-369.pdf">http://archive.bridgesmathart.org/2007/bridges2007-369.pdf</a></li></ul>
<ul><li> Edmund Harriss: Images of the Ammann-Beenker Tiling. Pages 377–378 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-377.html">http://archive.bridgesmathart.org/2007/bridges2007-377.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-377.pdf">http://archive.bridgesmathart.org/2007/bridges2007-377.pdf</a></li></ul>
<ul><li> Carlo H. Séquin: Symmetric Embedding of Locally Regular Hyperbolic Tilings. Pages 379–388 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-379.html">http://archive.bridgesmathart.org/2007/bridges2007-379.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-379.pdf">http://archive.bridgesmathart.org/2007/bridges2007-379.pdf</a></li></ul>
<ul><li> Simon Bexfield: When is a picture not a picture? What is really in a Random Tandem? Pages 389–394 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-389.html">http://archive.bridgesmathart.org/2007/bridges2007-389.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-389.pdf">http://archive.bridgesmathart.org/2007/bridges2007-389.pdf</a></li></ul>
<ul><li> Douglas Dunham: A "Circle Limit III" Calculation. Pages 395–402 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-395.html">http://archive.bridgesmathart.org/2007/bridges2007-395.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-395.pdf">http://archive.bridgesmathart.org/2007/bridges2007-395.pdf</a></li></ul>
<ul><li> Zafer Sagdic and Barbaros Sagdic: Designing a Modern Tower in a Mathematically-Based World. Pages 403–404 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-403.html">http://archive.bridgesmathart.org/2007/bridges2007-403.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-403.pdf">http://archive.bridgesmathart.org/2007/bridges2007-403.pdf</a></li></ul>
<ul><li> Samuel Verbiese: Amazing Labyrinths. Pages 405–412 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-405.html">http://archive.bridgesmathart.org/2007/bridges2007-405.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-405.pdf">http://archive.bridgesmathart.org/2007/bridges2007-405.pdf</a></li></ul>
<ul><li> Lin Hsin Hsin: The Automorphism of Amalgamation Polytopes and Tessellation. Pages 413–414 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-413.html">http://archive.bridgesmathart.org/2007/bridges2007-413.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-413.pdf">http://archive.bridgesmathart.org/2007/bridges2007-413.pdf</a></li></ul>
<ul><li> Ülkü İnceköse: Geometrical Transformation: A Method for the Creation of Form in Contemporary Architecture. Pages 415–422 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-415.html">http://archive.bridgesmathart.org/2007/bridges2007-415.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-415.pdf">http://archive.bridgesmathart.org/2007/bridges2007-415.pdf</a></li></ul>
<ul><li> Mara Alagic and Paul Gailiunas: Understanding Math via Arts, Creating Arts via Math. Pages 423–424 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-423.html">http://archive.bridgesmathart.org/2007/bridges2007-423.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-423.pdf">http://archive.bridgesmathart.org/2007/bridges2007-423.pdf</a></li></ul>
<ul><li> Elaine Krajenke Ellison: Imaginative Quilted Geometric Assemblages. Pages 425–426 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-425.html">http://archive.bridgesmathart.org/2007/bridges2007-425.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-425.pdf">http://archive.bridgesmathart.org/2007/bridges2007-425.pdf</a></li></ul>
<ul><li> Penelope Woolfitt: The Geometry of Asian Trousers. Pages 427–430 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-427.html">http://archive.bridgesmathart.org/2007/bridges2007-427.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-427.pdf">http://archive.bridgesmathart.org/2007/bridges2007-427.pdf</a></li></ul>
<ul><li> Ann Hanson: Math/Art Projects. Pages 431–432 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-431.html">http://archive.bridgesmathart.org/2007/bridges2007-431.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-431.pdf">http://archive.bridgesmathart.org/2007/bridges2007-431.pdf</a></li></ul>
<ul><li> Robert McDermott: Building Models to Transition from Dimension to Dimension. Pages 433–440 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-433.html">http://archive.bridgesmathart.org/2007/bridges2007-433.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-433.pdf">http://archive.bridgesmathart.org/2007/bridges2007-433.pdf</a></li></ul>
<ul><li> Felicity Wood: Exploring Cubes Woven on the Skew. Pages 441–444 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-441.html">http://archive.bridgesmathart.org/2007/bridges2007-441.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-441.pdf">http://archive.bridgesmathart.org/2007/bridges2007-441.pdf</a></li></ul>
<ul><li> Julie Dobson and Jenny Gage: Using Art to Teach Maths, Using Maths to Create Art. Pages 445–452 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-445.html">http://archive.bridgesmathart.org/2007/bridges2007-445.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-445.pdf">http://archive.bridgesmathart.org/2007/bridges2007-445.pdf</a></li></ul>
<ul><li> Carol Bier: From Folding and Cutting to Geometry and Algorithms: Integrating Islamic Art into the Mathematics Curriculum. Pages 453–458 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-453.html">http://archive.bridgesmathart.org/2007/bridges2007-453.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-453.pdf">http://archive.bridgesmathart.org/2007/bridges2007-453.pdf</a></li></ul>
<ul><li> Paul Hildebrandt: Zome Workshop. Pages 459–464 <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-459.html">http://archive.bridgesmathart.org/2007/bridges2007-459.html</a> <a rel="nofollow" class="external free" href="http://archive.bridgesmathart.org/2007/bridges2007-459.pdf">http://archive.bridgesmathart.org/2007/bridges2007-459.pdf</a></li></ul>
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