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

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: 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

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: 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: 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: 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: 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

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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== Reference ==
Jean Constant: [[The Fourth Dimension in Mathematics and Art]]. In: [[Bridges 2016]], Pages 541–544. 

== DOI ==

== Abstract ==
The fourth dimension is a complex concept that deals with abstract reasoning, our sense of perception, and our
imagination. This paper gives a brief overview of the background that leads to the study of the fourth dimension
and focuses on the specifics of mathematics and visual imaging to illustrate the challenges and benefit of
interdisciplinary collaboration to create a sound outcome.

== Extended Abstract ==

== Bibtex == 
 @inproceedings{bridges2016:541,
  author      = {Jean Constant},
  title       = {The Fourth Dimension in Mathematics and Art},
  pages       = {541--544},
  booktitle   = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
  year        = {2016},
  editor      = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
  isbn        = {978-1-938664-19-9},
  issn        = {1099-6702},
  publisher   = {Tessellations Publishing},
  address     = {Phoenix, Arizona},
  url         = {http://de.evo-art.org/index.php?title=The_Fourth_Dimension_in_Mathematics_and_Art },
  note        = {Available online at \url{http://archive.bridgesmathart.org/2016/bridges2016-541.html}}
 }


== Used References ==
[1] Wallace, David F., (2003). Everything and More: A Compact History of Infinity. W. W. Norton &amp;
Company, p. 23

[2] Asscher, S.; Widger, D., (2008). “Plato - The Republic.” Project Gutenberg. Retrieved 12, 2015 from
https://www.gutenberg.org/files/1497/1497-h/1497-h.htm.

[3] Milnor, John W., (1982). ‘Hyperbolic geometry: The first 150 years.’ Bull. Amer. Math. Soc. 6. 9-24.

[4] Henderson, Linda Dalrymple, (1983). The Fourth Dimension and Non-Euclidean Geometry in
Modern Art. Princeton University Press.

[5] Reitzel, Erik ,(1984). “Le Cube ouvert.” International conference on tall buildings. Singapore.

[6] Weeks, Jeff, (2016). “4D Draw.” Retrieved 12, 2015 from
http://geometrygames.org/Draw4D/index.html

[7] Reas, C., &amp; Fry, B. (2007). Processing: A Programming Handbook for Visual Designers and Artists.
The MIT Press.

[8] Weisstein, Eric W. "24-Cell.” MathWorld. Retrieved 12, 2015 from.
http://mathworld.wolfram.com/24-Cell.html

[9] Bourke, P. (1990). “Hyperspace User Manual.” Retrieved 12, 2015, from
http://paulbourke.net/geometry/hyperspace/

[10] Coxeter, H. S. M. (1973). Regular Polytopes. 3rd ed. New York: Dover.


== Links ==
=== Full Text === 
http://archive.bridgesmathart.org/2016/bridges2016-541.pdf

[[intern file]]

=== Sonstige Links ===
http://archive.bridgesmathart.org/2016/bridges2016-541.html
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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: 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