"Les math\u00E9matiques r\u00E9cr\u00E9atives incluent de nombreux jeux math\u00E9matiques, et peuvent \u00EAtre \u00E9tendues pour couvrir des domaines comme la logique ainsi que d'autres puzzles de raisonnements d\u00E9ductifs. La plupart des probl\u00E8mes pos\u00E9s ne requi\u00E8rent pas une connaissance de math\u00E9matiques avanc\u00E9es, mais plut\u00F4t une bonne logique."@fr . . . . . . . . "Jolas-matematika joko eta buruhausgarriak matematikaerabiliz ebazten dituen arloa da. Jolas eta denborapasaz gainera, matematika aztertu etaikasteko era bat da. Horrela, jolas-matematikak probabilitate, grafo-teoria, geometria, zenbaki-teoria eta aljebrako ebazkizun sortu eta ikerketa bideberriak zabaltzeko balio izan du historian zehar. Aldi berean, matematikaren didaktikan, haur eta gazteei matematika modu erakargarri batez irakasteko tresnatzat hartzen da ."@eu . . "\uC720\uD76C \uC218\uD559(\u904A\u6232 \u6578\u5B78, recreational mathematics)\uC740 \uC720\uD76C(\uB180\uC774)\uB85C\uC11C\uC758 \uC774\uC6A9\uC5D0 \uCD08\uC810\uC744 \uB9DE\uCD98 \uC218\uD559\uC744 \uAC00\uB9AC\uD0A8\uB2E4. \uC218\uD559\uC801 \uD37C\uC990, \uAC8C\uC784 \uB4F1\uC744 \uD3EC\uD568\uD55C\uB2E4. \uC774 \uBD84\uC57C\uC5D0\uC11C\uB294 \uB9CE\uC740 \uC8FC\uC81C\uC758 \uACE0\uAE09 \uC218\uD559\uC9C0\uC2DD\uC744 \uD544\uC694\uB85C \uD558\uC9C0 \uC54A\uC73C\uBA70, \uC720\uD76C\uC218\uD559\uC740 \uC544\uC774\uB4E4\uACFC \uC218\uD559\uC5D0 \uC219\uB828\uB418\uC9C0 \uC54A\uC740 \uC5B4\uB978\uB4E4\uC5D0\uAC8C\uB3C4 \uB9E4\uB825\uC801\uC774\uB2E4. \uC720\uD76C\uC218\uD559\uC5D0\uC11C \uC798 \uC54C\uB824\uC9C4 \uC8FC\uC81C\uB294 \uB9C8\uBC95\uC9C4, \uB9C8\uBC29\uC9C4, \uD504\uB799\uD0C8, \uB85C\uC9C1 \uD37C\uC990, \uCCB4\uC2A4 \uBB38\uC81C, \uC2A4\uB3C4\uCFE0, \uD55C\uBD93\uADF8\uB9AC\uAE30 \uB4F1 \uB9CE\uC740 \uAC83\uB4E4\uC774 \uC788\uB2E4. \uC774\uB7EC\uD55C \uC218\uD559\uC758 \uD0D0\uAD6C \uC8FC\uC81C\uB294 \uBBF8\uD559\uACFC \uC218\uD559\uC758 \uBB38\uD654, \uB17C\uB9AC\uC801 \uC0AC\uACE0, \uC9C0\uC801\uC778 \uC7AC\uBBF8, \uC218\uD559\uC758 \uAD00\uD55C \uB180\uB784\uB9CC\uD55C \uC774\uC57C\uAE30\uC640 \uC6B0\uC5F0\uC758 \uC77C\uCE58, \uC218\uD559\uC790\uC758 \uC0B6\uC744 \uD3EC\uD568\uD55C\uB2E4."@ko . . . "La matem\u00E0tica recreativa \u00E9s un terme ampli que inclou els i els . No tots els problemes en el camp de la matem\u00E0tica recreativa requereixen un coneixement de la matem\u00E0tica avan\u00E7ada i, per tant, la matem\u00E0tica recreativa sovint atrau la curiositat dels no matem\u00E0tics i inspira el posterior estudi de la matem\u00E0tica."@ca . . 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"Matematika rekreasi"@in . . . . . "N\u00F6jesmatematik \u00E4r ett samlingsnamn f\u00F6r matematik som genomf\u00F6rs f\u00F6r rekreation, sj\u00E4lvstudier eller sj\u00E4lvunderh\u00E5llning, snarare \u00E4n som en helt seri\u00F6s yrkesverksamhet. Det inneb\u00E4r ofta och spel. M\u00E5nga problem inom detta omr\u00E5de kr\u00E4ver inga avancerade matematikkunskaper f\u00F6r att l\u00F6sas. Rekreationell matematik lockar ofta nyfikenhet hos amat\u00F6rmatematiker, och inspirerar till deras fortsatta studier i \u00E4mnet."@sv . . "N\u00F6jesmatematik"@sv . . . . . "Matematica ricreativa"@it . . . . . . "Matem\u00E1tica recreativa \u00E9 uma forma de matem\u00E1tica desenvolvida atrav\u00E9s da recrea\u00E7\u00E3o ao inv\u00E9s de uma pesquisa estrita, ou aplica\u00E7\u00F5es em atividades profissionais e mesmo por exig\u00EAncia da educa\u00E7\u00E3o formal de estudantes. Ainda que n\u00E3o necessariamente limitada \u00E0 uma atividade de amadores, muitos t\u00F3picos nesse campo exigem nenhum conhecimento de [[matem\u00E1tica avan\u00E7ada]. A matem\u00E1tica recreativa envolve jogos matem\u00E1ticos e quebra-cabe\u00E7as, frequentemente buscando sensibilizar crian\u00E7as e adultos sem forma\u00E7\u00E3o na \u00E1rea, inspirando maior interesse na matem\u00E1tica. Apesar de carecer de uma defini\u00E7\u00E3o rigorosa, a matem\u00E1tica recreativa possui uma longa hist\u00F3ria, j\u00E1 aparecendo no livro De Viribus Quantitatis, de Luca Pacioli, as primeiras men\u00E7\u00F5es \u00E0 jogos matem\u00E1ticos, apresentando, al\u00E9m disso, uma cole\u00E7\u00E3o de curiosidades matem\u00E1ticas. Entretanto, o primeiro livro dedicado inteiramente \u00E0 recrea\u00E7\u00E3o matem\u00E1tica aparecer\u00E1 apenas em 1624, Probl\u00E8mes plaisants et d\u00E9lectables, escrito pelo matem\u00E1tico franc\u00EAs Bachet de M\u00E9ziriac. A primeira men\u00E7\u00E3o expl\u00EDcita \u00E0 uma 'recrea\u00E7\u00E3o matem\u00E1tica' \u00E9 encontrada no livro R\u00E9cr\u00E9ations math\u00E9matiques, de Jacques Ozanam, publicado em 1694 e reeditado diversas vezes."@pt . "\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0645\u0633\u0644\u064A\u0629"@ar . . . . . . "Rekrea\u010Dn\u00ED matematika"@cs . . . . . "\u0420\u0435\u043A\u0440\u0435\u0430\u0446\u0456\u0439\u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0430\u0431\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u0434\u043E\u0437\u0432\u0456\u043B\u043B\u044F \u2014 \u0446\u0435 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0438\u0439 \u0442\u0435\u0440\u043C\u0456\u043D \u0434\u043B\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0437\u0430\u043D\u044F\u0442\u044C, \u044F\u043A\u0438\u043C\u0438 \u0437\u0430\u0439\u043C\u0430\u044E\u0442\u044C\u0441\u044F \u0437 \u043C\u0435\u0442\u043E\u044E \u0434\u043E\u0437\u0432\u0456\u043B\u043B\u044F (\u0432\u043A\u043B\u044E\u0447\u043D\u043E \u0437 \u0442\u0430 \u0440\u043E\u0437\u0432\u0430\u0433\u0430\u043C\u0438), \u0430 \u043D\u0435 \u0434\u043B\u044F \u0432\u0438\u043A\u043B\u044E\u0447\u043D\u043E \u043D\u0430\u0443\u043A\u043E\u0432\u043E-\u043F\u0440\u0438\u043A\u043B\u0430\u0434\u043D\u043E\u0433\u043E \u043F\u0440\u043E\u0444\u0435\u0441\u0456\u0439\u043D\u043E\u0433\u043E \u0437\u0430\u0441\u0442\u043E\u0441\u0443\u0432\u0430\u043D\u043D\u044F; \u043E\u0434\u043D\u0430\u043A \u0440\u0435\u043A\u0440\u0435\u0430\u0446\u0456\u0439\u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0454 \u0432\u0438\u043A\u043B\u044E\u0447\u043D\u043E \u0441\u0444\u0435\u0440\u043E\u044E \u0430\u043C\u0430\u0442\u043E\u0440\u0456\u0432. \u0412\u043E\u043D\u0430 \u0447\u0430\u0441\u0442\u043E \u0432\u043A\u043B\u044E\u0447\u0430\u0454 \u0442\u0430 . \u0417\u043D\u0430\u0447\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0442\u0435\u043C \u0443 \u0446\u0456\u0439 \u0433\u0430\u043B\u0443\u0437\u0456 \u043D\u0435 \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u0437\u043D\u0430\u043D\u043D\u044F \u0432\u0438\u0449\u043E\u0457 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438, \u0430 \u0442\u043E\u043C\u0443 \u0432\u043E\u043D\u0430 \u0447\u0430\u0441\u0442\u043E \u043F\u0440\u0438\u0432\u0430\u0431\u043B\u044E\u0454 \u0434\u0456\u0442\u0435\u0439 \u0442\u0430 \u0434\u043E\u0440\u043E\u0441\u043B\u0438\u0445, \u0449\u043E \u043D\u0435 \u043C\u0430\u044E\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u0457 \u043E\u0441\u0432\u0456\u0442\u0438, \u0440\u043E\u0437\u0432\u0438\u0432\u0430\u044E\u0447\u0438 \u0432 \u043D\u0438\u0445 \u043F\u043E\u0434\u0430\u043B\u044C\u0448\u0443 \u0437\u0430\u0446\u0456\u043A\u0430\u0432\u043B\u0435\u043D\u0456\u0441\u0442\u044C \u043F\u0440\u0435\u0434\u043C\u0435\u0442\u043E\u043C."@uk . "Matem\u00E1tica recreativa"@es . . "\uC720\uD76C \uC218\uD559(\u904A\u6232 \u6578\u5B78, recreational mathematics)\uC740 \uC720\uD76C(\uB180\uC774)\uB85C\uC11C\uC758 \uC774\uC6A9\uC5D0 \uCD08\uC810\uC744 \uB9DE\uCD98 \uC218\uD559\uC744 \uAC00\uB9AC\uD0A8\uB2E4. \uC218\uD559\uC801 \uD37C\uC990, \uAC8C\uC784 \uB4F1\uC744 \uD3EC\uD568\uD55C\uB2E4. \uC774 \uBD84\uC57C\uC5D0\uC11C\uB294 \uB9CE\uC740 \uC8FC\uC81C\uC758 \uACE0\uAE09 \uC218\uD559\uC9C0\uC2DD\uC744 \uD544\uC694\uB85C \uD558\uC9C0 \uC54A\uC73C\uBA70, \uC720\uD76C\uC218\uD559\uC740 \uC544\uC774\uB4E4\uACFC \uC218\uD559\uC5D0 \uC219\uB828\uB418\uC9C0 \uC54A\uC740 \uC5B4\uB978\uB4E4\uC5D0\uAC8C\uB3C4 \uB9E4\uB825\uC801\uC774\uB2E4. \uC720\uD76C\uC218\uD559\uC5D0\uC11C \uC798 \uC54C\uB824\uC9C4 \uC8FC\uC81C\uB294 \uB9C8\uBC95\uC9C4, \uB9C8\uBC29\uC9C4, \uD504\uB799\uD0C8, \uB85C\uC9C1 \uD37C\uC990, \uCCB4\uC2A4 \uBB38\uC81C, \uC2A4\uB3C4\uCFE0, \uD55C\uBD93\uADF8\uB9AC\uAE30 \uB4F1 \uB9CE\uC740 \uAC83\uB4E4\uC774 \uC788\uB2E4. \uC774\uB7EC\uD55C \uC218\uD559\uC758 \uD0D0\uAD6C \uC8FC\uC81C\uB294 \uBBF8\uD559\uACFC \uC218\uD559\uC758 \uBB38\uD654, \uB17C\uB9AC\uC801 \uC0AC\uACE0, \uC9C0\uC801\uC778 \uC7AC\uBBF8, \uC218\uD559\uC758 \uAD00\uD55C \uB180\uB784\uB9CC\uD55C \uC774\uC57C\uAE30\uC640 \uC6B0\uC5F0\uC758 \uC77C\uCE58, \uC218\uD559\uC790\uC758 \uC0B6\uC744 \uD3EC\uD568\uD55C\uB2E4."@ko . . . . . . "Unter Unterhaltungsmathematik versteht man die Besch\u00E4ftigung mit mathematischen Fragestellungen, welche vorrangig unter dem Aspekt des Zeitvertreibs betrieben wird. Dazu z\u00E4hlen auch Denksportaufgaben, mathematische R\u00E4tsel und humorvolle Glossen, die oft aktuelle Themen der Mathematik auf unterhaltsame Art vorstellen. Beispiele hierf\u00FCr sind die Mathematischen Unterhaltungen im Wissenschaftsmagazin Spektrum der Wissenschaft und die Logelei von Zweistein in der Wochenzeitung Die Zeit."@de . . "\u03A4\u03B1 \u03C8\u03C5\u03C7\u03B1\u03B3\u03C9\u03B3\u03B9\u03BA\u03AC \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03AC \u03B5\u03AF\u03BD\u03B1\u03B9 \u03AD\u03BD\u03B1\u03C2 \u03CC\u03C1\u03BF\u03C2 \u03B3\u03B9\u03B1 \u03C4\u03B1 \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03AC \u03C0\u03BF\u03C5 \u03C7\u03C1\u03B7\u03C3\u03B9\u03BC\u03BF\u03C0\u03BF\u03B9\u03BF\u03CD\u03BD\u03C4\u03B1\u03B9 \u03B3\u03B9\u03B1 \u03C8\u03C5\u03C7\u03B1\u03B3\u03C9\u03B3\u03AF\u03B1 (\u03B1\u03BD\u03B1\u03C8\u03C5\u03C7\u03AE) \u03BA\u03B1\u03B9 \u03CC\u03C7\u03B9 \u03B3\u03B9\u03B1 \u03B1\u03C5\u03C3\u03C4\u03B7\u03C1\u03AE \u03AD\u03C1\u03B5\u03C5\u03BD\u03B1 \u03BA\u03B1\u03B9 \u03B5\u03C6\u03B1\u03C1\u03BC\u03BF\u03B3\u03AE \u03BC\u03B5 \u03B2\u03AC\u03C3\u03B7 \u03C4\u03B7\u03BD \u03B5\u03C0\u03B1\u03B3\u03B3\u03B5\u03BB\u03BC\u03B1\u03C4\u03B9\u03BA\u03AE \u03B4\u03C1\u03B1\u03C3\u03C4\u03B7\u03C1\u03B9\u03CC\u03C4\u03B7\u03C4\u03B1, \u03B1\u03BD \u03BA\u03B1\u03B9 \u03B4\u03B5\u03BD \u03C0\u03B5\u03C1\u03B9\u03BF\u03C1\u03AF\u03B6\u03BF\u03BD\u03C4\u03B1\u03B9 \u03BA\u03B1\u03C4' \u03B1\u03BD\u03AC\u03B3\u03BA\u03B7 \u03C9\u03C2 \u03B5\u03B3\u03C7\u03B5\u03AF\u03C1\u03B7\u03BC\u03B1 \u03BC\u03CC\u03BD\u03BF \u03B3\u03B9\u03B1 \u03B5\u03C1\u03B1\u03C3\u03B9\u03C4\u03AD\u03C7\u03BD\u03B5\u03C2. \u03A0\u03B5\u03C1\u03B9\u03BB\u03B1\u03BC\u03B2\u03AC\u03BD\u03BF\u03C5\u03BD \u03C3\u03C5\u03C7\u03BD\u03AC \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03BF\u03CD\u03C2 \u03B3\u03C1\u03AF\u03C6\u03BF\u03C5\u03C2 \u03BA\u03B1\u03B9 \u03C0\u03B1\u03B9\u03C7\u03BD\u03AF\u03B4\u03B9\u03B1. \u03A0\u03BF\u03BB\u03BB\u03AC \u03B8\u03AD\u03BC\u03B1\u03C4\u03B1 \u03C3\u03C4\u03BF\u03BD \u03C4\u03BF\u03BC\u03AD\u03B1 \u03B1\u03C5\u03C4\u03CC\u03BD \u03B4\u03B5\u03BD \u03B1\u03C0\u03B1\u03B9\u03C4\u03BF\u03CD\u03BD \u03B3\u03BD\u03CE\u03C3\u03B7 \u03C0\u03C1\u03BF\u03B7\u03B3\u03BC\u03AD\u03BD\u03C9\u03BD \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03CE\u03BD \u03AE \u03C8\u03C5\u03C7\u03B1\u03B3\u03C9\u03B3\u03B9\u03BA\u03CE\u03BD \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03CE\u03BD, \u03C3\u03C5\u03C7\u03BD\u03AC \u03B1\u03C0\u03B5\u03C5\u03B8\u03CD\u03BD\u03BF\u03BD\u03C4\u03B1\u03B9 \u03C3\u03B5 \u03C0\u03B1\u03B9\u03B4\u03B9\u03AC \u03AE \u03B1\u03BD\u03B5\u03BA\u03C0\u03B1\u03AF\u03B4\u03B5\u03C5\u03C4\u03BF\u03C5\u03C2 \u03B5\u03BD\u03AE\u03BB\u03B9\u03BA\u03B5\u03C2, \u03B5\u03BC\u03C0\u03BD\u03AD\u03BF\u03BD\u03C4\u03B1\u03C2 \u03C4\u03B7\u03BD \u03C0\u03B5\u03C1\u03B1\u03B9\u03C4\u03AD\u03C1\u03C9 \u03BC\u03B5\u03BB\u03AD\u03C4\u03B7 \u03C4\u03BF\u03C5\u03C2 \u03C3\u03C4\u03BF \u03B8\u03AD\u03BC\u03B1."@el . . . . . . "\u0420\u0430\u0437\u0432\u043B\u0435\u043A\u0430\u0442\u0435\u043B\u044C\u043D\u0430\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430, \u0437\u0430\u043D\u0438\u043C\u0430\u0442\u0435\u043B\u044C\u043D\u0430\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0440\u0430\u0437\u0432\u043B\u0435\u0447\u0435\u043D\u0438\u044F \u2014 \u043D\u0430\u043F\u0440\u0430\u0432\u043B\u0435\u043D\u0438\u044F \u0438 \u0442\u0435\u043C\u044B \u0432 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0435, \u043F\u0440\u043E\u044F\u0432\u043B\u044F\u044E\u0449\u0438\u0435\u0441\u044F \u0432 \u0431\u043E\u0301\u043B\u044C\u0448\u0435\u0439 \u0441\u0442\u0435\u043F\u0435\u043D\u0438 \u0432 \u0440\u0430\u043C\u043A\u0430\u0445 \u0434\u043E\u0441\u0443\u0433\u0430, \u0440\u0430\u0437\u0432\u043B\u0435\u0447\u0435\u043D\u0438\u044F, \u0441\u0430\u043C\u043E\u043E\u0431\u0440\u0430\u0437\u043E\u0432\u0430\u043D\u0438\u044F \u0438 \u043F\u043E\u043F\u0443\u043B\u044F\u0440\u0438\u0437\u0430\u0446\u0438\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438, \u043D\u0435\u0436\u0435\u043B\u0438 \u0432 \u043F\u0440\u043E\u0444\u0435\u0441\u0441\u0438\u043E\u043D\u0430\u043B\u044C\u043D\u043E\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u0434\u0435\u044F\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u0438. \u00AB\u041E\u0441\u043D\u043E\u0432\u043D\u0430\u044F \u0430\u0443\u0434\u0438\u0442\u043E\u0440\u0438\u044F\u00BB \u0440\u0430\u0437\u0432\u043B\u0435\u043A\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u2014 \u043E\u0431\u0443\u0447\u0430\u044E\u0449\u0438\u0435\u0441\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0435, \u043B\u044E\u0431\u0438\u0442\u0435\u043B\u0438, \u0445\u043E\u0442\u044F \u0440\u0430\u0437\u0440\u0430\u0431\u043E\u0442\u043A\u0430\u043C\u0438 \u0438 \u0438\u0441\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u043D\u0438\u044F\u043C\u0438 \u0432 \u0437\u0430\u043D\u0438\u043C\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0435 \u0437\u0430\u043D\u0438\u043C\u0430\u044E\u0442\u0441\u044F \u043A\u0430\u043A \u043B\u044E\u0431\u0438\u0442\u0435\u043B\u0438, \u0442\u0430\u043A \u0438 \u0441\u043F\u0435\u0446\u0438\u0430\u043B\u0438\u0441\u0442\u044B. \u041E\u0434\u043D\u0430 \u0438\u0437 \u0445\u0430\u0440\u0430\u043A\u0442\u0435\u0440\u043D\u044B\u0445 \u0447\u0435\u0440\u0442 \u0440\u0430\u0437\u0432\u043B\u0435\u043A\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u2014 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0433\u043E\u043B\u043E\u0432\u043E\u043B\u043E\u043C\u043E\u043A \u0438 . \u041C\u043D\u043E\u0433\u0438\u0435 \u043E\u0431\u043B\u0430\u0441\u0442\u0438 \u0440\u0430\u0437\u0432\u043B\u0435\u043A\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0439 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0435 \u0442\u0440\u0435\u0431\u0443\u044E\u0442 \u0433\u043B\u0443\u0431\u043E\u043A\u043E\u0433\u043E \u0437\u043D\u0430\u043D\u0438\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438. \u0417\u0430\u043D\u0438\u043C\u0430\u0442\u0435\u043B\u044C\u043D\u0430\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0447\u0430\u0441\u0442\u043E \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0434\u0435\u0442\u0435\u0439 \u0438 \u043D\u0435\u043F\u043E\u0434\u0433\u043E\u0442\u043E\u0432\u043B\u0435\u043D\u043D\u044B\u0445 \u0432\u0437\u0440\u043E\u0441\u043B\u044B\u0445, \u043F\u043E\u0431\u0443\u0436\u0434\u0430\u044F \u0438\u0445 \u043A \u0434\u0430\u043B\u044C\u043D\u0435\u0439\u0448\u0435\u043C\u0443 \u0438\u0437\u0443\u0447\u0435\u043D\u0438\u044E \u0442\u0435\u043C\u044B."@ru . . . "La matematica ricreativa riguarda attivit\u00E0 che sono praticate con un preciso fine di divertimento personale e che sono rivolte ad oggetti con contenuti matematici di rilievo, anche se spesso non esplicitato. Essa si occupa primariamente di giochi matematici di tanti tipi, ma estende i propri interessi anche a questioni come le soluzioni di rompicapo che richiedono ragionamenti deduttivi e ad aree come la logica matematica e la . Alcuni dei pi\u00F9 interessanti problemi di questo campo non richiedono conoscenze della matematica avanzata."@it . . . "La matematica ricreativa riguarda attivit\u00E0 che sono praticate con un preciso fine di divertimento personale e che sono rivolte ad oggetti con contenuti matematici di rilievo, anche se spesso non esplicitato. Essa si occupa primariamente di giochi matematici di tanti tipi, ma estende i propri interessi anche a questioni come le soluzioni di rompicapo che richiedono ragionamenti deduttivi e ad aree come la logica matematica e la . Alcuni dei pi\u00F9 interessanti problemi di questo campo non richiedono conoscenze della matematica avanzata. Questo argomento pu\u00F2 toccare anche problemi come l'estetica della matematica, e pu\u00F2 occuparsi di storie divertenti, curiose o peculiari di oggetti e persone della matematica. La matematica ricreativa comprende l'osservazione di configurazioni matematiche come i quadrati magici e i frattali, questi ultimi con l'aiuto di strumenti di computer grafica. Le maggiori potenzialit\u00E0 della matematica ricreativa consistono nello stimolare certe abilit\u00E0 matematiche, nell'avvicinare in modo piacevole allo studio della matematica facendo superare la fama della matematica come conoscenza pedante e accessibile a pochi. Inoltre va ricordato che la matematica ricreativa ha contribuito alla nascita di interi settori della matematica: basti pensare al ruolo dei giochi d'azzardo per la nascita della teoria della probabilit\u00E0 nel XVII secolo e ai giochi di strategia come ispiratori dello sviluppo della teoria dei giochi nel XX secolo. La pubblicazione pi\u00F9 importante di questo campo era il (la rivista \u00E8 stata sospesa nel 2014). Alla matematica ricreativa hanno contribuito molti matematici importanti ed anche eminenti: \n* John Horton Conway \n* H. S. M. Coxeter \n* Henry Dudeney \n* Martin Gardner, titolare per molti anni della influente rubrica Mathematical Games sul periodico Scientific American \n* Piet Hein \n* Douglas Hofstadter \n* Jean Leurechon \n* Sam Loyd \n* Clifford A. Pickover, autore di molti libri di matematica ricreativa \n* Walter William Rouse Ball \n* David Singmaster \n* Raymond Smullyan"@it . . "Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity or as a part of a student's formal education. Although it is not necessarily limited to being an endeavor for amateurs, many topics in this field require no knowledge of advanced mathematics. Recreational mathematics involves mathematical puzzles and games, often appealing to children and untrained adults, inspiring their further study of the subject."@en . . . . . . . . . "11582"^^ . . . . "Jolas-matematika"@eu . "Math\u00E9matiques r\u00E9cr\u00E9atives"@fr . . . "\u0417\u0430\u043D\u0438\u043C\u0430\u0442\u0435\u043B\u044C\u043D\u0430\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430"@ru . . . . "La matem\u00E1tica recreativa es un \u00E1rea de las matem\u00E1ticas que se concentra en la obtenci\u00F3n de resultados acerca de actividades l\u00FAdicas, y tambi\u00E9n la que se dedica a difundir o divulgar de manera entretenida y motivadora los conocimientos, temas o problemas de las matem\u00E1ticas. El concepto de matem\u00E1tica recreativa es tan viejo como lo son los juegos en los que interviene la l\u00F3gica o el c\u00E1lculo de alg\u00FAn modo."@es . . . . . . . . . . "\u5A1B\u6A02\u6578\u5B78\uFF08\u82F1\u8A9E\uFF1ARecreational mathematics\uFF09\u662F\u548C\u5A1B\u6A02\u6709\u95DC\u7684\u6578\u5B78\uFF0C\u4E0D\u662F\u56E0\u70BA\u7D14\u7CB9\u5B78\u8853\u7814\u7A76\u6216\u662F\u5BE6\u52D9\u61C9\u7528\u9700\u6C42\u800C\u6709\u7684\u6578\u5B78\u9818\u57DF\u3002\u5A1B\u6A02\u6578\u5B78\u5305\u62EC\u4E86\u6578\u5B78\u8B0E\u984C\u53CA\u6578\u5B78\u904A\u6232\uFF0C\u63A2\u8A0E\u8005\u4E0D\u9650\u65BC\u6578\u5B78\u696D\u9918\u611B\u597D\u8005\uFF0C\u4E0D\u904E\u6709\u4E9B\u4E3B\u984C\u4E0D\u9700\u7528\u5230\u9AD8\u6DF1\u7684\u6578\u5B78\uFF0C\u56E0\u6B64\u5A1B\u6A02\u6578\u5B78\u5E38\u6703\u5F15\u8D77\u4E00\u822C\u4EBA\u5C0D\u6578\u5B78\u7684\u597D\u5947\u5FC3\uFF0C\u9032\u800C\u66F4\u591A\u7684\u4E86\u89E3\u6578\u5B78\u3002 \u7F8E\u56FD\u6570\u5B66\u534F\u4F1A\u5728\u517617\u500B\u9818\u57DF\u5206\u7D44\uFF08SIG\uFF09\u4E2D\u4E5F\u5305\u62EC\u4E86\u5A1B\u6A02\u6578\u5B78\u5728\u5167\u3002"@zh . . . . . . "La matem\u00E0tica recreativa \u00E9s un terme ampli que inclou els i els . No tots els problemes en el camp de la matem\u00E0tica recreativa requereixen un coneixement de la matem\u00E0tica avan\u00E7ada i, per tant, la matem\u00E0tica recreativa sovint atrau la curiositat dels no matem\u00E0tics i inspira el posterior estudi de la matem\u00E0tica."@ca . . . . "\uC720\uD76C \uC218\uD559"@ko . . "N\u00F6jesmatematik \u00E4r ett samlingsnamn f\u00F6r matematik som genomf\u00F6rs f\u00F6r rekreation, sj\u00E4lvstudier eller sj\u00E4lvunderh\u00E5llning, snarare \u00E4n som en helt seri\u00F6s yrkesverksamhet. Det inneb\u00E4r ofta och spel. M\u00E5nga problem inom detta omr\u00E5de kr\u00E4ver inga avancerade matematikkunskaper f\u00F6r att l\u00F6sas. Rekreationell matematik lockar ofta nyfikenhet hos amat\u00F6rmatematiker, och inspirerar till deras fortsatta studier i \u00E4mnet."@sv . . . . . "Matem\u00E1tica recreativa \u00E9 uma forma de matem\u00E1tica desenvolvida atrav\u00E9s da recrea\u00E7\u00E3o ao inv\u00E9s de uma pesquisa estrita, ou aplica\u00E7\u00F5es em atividades profissionais e mesmo por exig\u00EAncia da educa\u00E7\u00E3o formal de estudantes. Ainda que n\u00E3o necessariamente limitada \u00E0 uma atividade de amadores, muitos t\u00F3picos nesse campo exigem nenhum conhecimento de [[matem\u00E1tica avan\u00E7ada]. A matem\u00E1tica recreativa envolve jogos matem\u00E1ticos e quebra-cabe\u00E7as, frequentemente buscando sensibilizar crian\u00E7as e adultos sem forma\u00E7\u00E3o na \u00E1rea, inspirando maior interesse na matem\u00E1tica."@pt . . . . . . "Rekrea\u010Dn\u00ED matematika je matematika provozovan\u00E1 jen pro rekreaci (z\u00E1bavu), sp\u00ED\u0161e ne\u017E jako p\u0159\u00EDsn\u011B v\u00FDzkumn\u00E1 a aplika\u010Dn\u011B zalo\u017Een\u00E1 profesn\u00ED \u010Dinnost. Zahrnuje vytv\u00E1\u0159en\u00ED a lu\u0161t\u011Bn\u00ED hlavolam\u016F matematick\u00E9 povahy, tvorbu z\u00E1bavn\u00FDch matematick\u00FDch \u00FAloh nebo vytv\u00E1\u0159en\u00ED a hran\u00ED her zalo\u017Een\u00FDch na matematice. Mnoho t\u00E9mat v t\u00E9to oblasti nevy\u017Eaduje \u017E\u00E1dn\u00E9 znalosti pokro\u010Dil\u00E9 matematiky. H\u00E1danky a hry, kter\u00E9 rekrea\u010Dn\u00ED matematika zahrnuje, jsou \u010Dasto p\u0159ita\u017Eliv\u00E9 pro d\u011Bti a netr\u00E9novan\u00E9 dosp\u011Bl\u00E9, a mohou je inspirovat k jejich dal\u0161\u00EDmu studiu p\u0159edm\u011Btu."@cs . "Matem\u00E1tica recreativa"@pt . . "\u0420\u0435\u043A\u0440\u0435\u0430\u0446\u0456\u0439\u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0430\u0431\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u0434\u043E\u0437\u0432\u0456\u043B\u043B\u044F \u2014 \u0446\u0435 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0438\u0439 \u0442\u0435\u0440\u043C\u0456\u043D \u0434\u043B\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0437\u0430\u043D\u044F\u0442\u044C, \u044F\u043A\u0438\u043C\u0438 \u0437\u0430\u0439\u043C\u0430\u044E\u0442\u044C\u0441\u044F \u0437 \u043C\u0435\u0442\u043E\u044E \u0434\u043E\u0437\u0432\u0456\u043B\u043B\u044F (\u0432\u043A\u043B\u044E\u0447\u043D\u043E \u0437 \u0442\u0430 \u0440\u043E\u0437\u0432\u0430\u0433\u0430\u043C\u0438), \u0430 \u043D\u0435 \u0434\u043B\u044F \u0432\u0438\u043A\u043B\u044E\u0447\u043D\u043E \u043D\u0430\u0443\u043A\u043E\u0432\u043E-\u043F\u0440\u0438\u043A\u043B\u0430\u0434\u043D\u043E\u0433\u043E \u043F\u0440\u043E\u0444\u0435\u0441\u0456\u0439\u043D\u043E\u0433\u043E \u0437\u0430\u0441\u0442\u043E\u0441\u0443\u0432\u0430\u043D\u043D\u044F; \u043E\u0434\u043D\u0430\u043A \u0440\u0435\u043A\u0440\u0435\u0430\u0446\u0456\u0439\u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0454 \u0432\u0438\u043A\u043B\u044E\u0447\u043D\u043E \u0441\u0444\u0435\u0440\u043E\u044E \u0430\u043C\u0430\u0442\u043E\u0440\u0456\u0432. \u0412\u043E\u043D\u0430 \u0447\u0430\u0441\u0442\u043E \u0432\u043A\u043B\u044E\u0447\u0430\u0454 \u0442\u0430 . \u0417\u043D\u0430\u0447\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0442\u0435\u043C \u0443 \u0446\u0456\u0439 \u0433\u0430\u043B\u0443\u0437\u0456 \u043D\u0435 \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u0437\u043D\u0430\u043D\u043D\u044F \u0432\u0438\u0449\u043E\u0457 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438, \u0430 \u0442\u043E\u043C\u0443 \u0432\u043E\u043D\u0430 \u0447\u0430\u0441\u0442\u043E \u043F\u0440\u0438\u0432\u0430\u0431\u043B\u044E\u0454 \u0434\u0456\u0442\u0435\u0439 \u0442\u0430 \u0434\u043E\u0440\u043E\u0441\u043B\u0438\u0445, \u0449\u043E \u043D\u0435 \u043C\u0430\u044E\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u0457 \u043E\u0441\u0432\u0456\u0442\u0438, \u0440\u043E\u0437\u0432\u0438\u0432\u0430\u044E\u0447\u0438 \u0432 \u043D\u0438\u0445 \u043F\u043E\u0434\u0430\u043B\u044C\u0448\u0443 \u0437\u0430\u0446\u0456\u043A\u0430\u0432\u043B\u0435\u043D\u0456\u0441\u0442\u044C \u043F\u0440\u0435\u0434\u043C\u0435\u0442\u043E\u043C."@uk . . . . "\u5A1B\u6A02\u6578\u5B78"@zh . . . . "1113291307"^^ . . "\u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0627\u0644\u0645\u0633\u0644\u064A\u0629 (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: Recreational mathematics)\u200F \u0647\u064A \u0645\u0635\u0637\u0644\u062D \u0634\u0627\u0645\u0644, \u062A\u0634\u064A\u0631 \u0625\u0644\u0649 \u0643\u0644\u0627\u064B \u0645\u0646 . \u0644\u0627 \u062A\u062A\u0637\u0644\u0628 \u062D\u0644 \u062C\u0645\u064A\u0639 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0641\u064A \u0647\u0630\u0627 \u0627\u0644\u062D\u0642\u0644 \u0625\u0644\u0649 \u0645\u0639\u0631\u0641\u0629 \u0641\u064A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0627\u0644\u0645\u062A\u0642\u062F\u0645\u0629\u060C \u0644\u0630\u0644\u0643 \u063A\u0627\u0644\u0628\u0627\u064B \u0645\u0627 \u062A\u062B\u064A\u0631 \u0641\u0636\u0648\u0644 \u063A\u064A\u0631-\u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A\u064A\u064A\u0646\u060C \u0645\u0645\u0627 \u062A\u062F\u0641\u0639\u0647\u0645 \u0625\u0644\u0649 \u062F\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0632\u064A\u062F \u0641\u064A \u0639\u0644\u0645 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A."@ar . . . "\u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0627\u0644\u0645\u0633\u0644\u064A\u0629 (\u0628\u0627\u0644\u0625\u0646\u062C\u0644\u064A\u0632\u064A\u0629: Recreational mathematics)\u200F \u0647\u064A \u0645\u0635\u0637\u0644\u062D \u0634\u0627\u0645\u0644, \u062A\u0634\u064A\u0631 \u0625\u0644\u0649 \u0643\u0644\u0627\u064B \u0645\u0646 . \u0644\u0627 \u062A\u062A\u0637\u0644\u0628 \u062D\u0644 \u062C\u0645\u064A\u0639 \u0627\u0644\u0645\u0633\u0627\u0626\u0644 \u0641\u064A \u0647\u0630\u0627 \u0627\u0644\u062D\u0642\u0644 \u0625\u0644\u0649 \u0645\u0639\u0631\u0641\u0629 \u0641\u064A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0627\u0644\u0645\u062A\u0642\u062F\u0645\u0629\u060C \u0644\u0630\u0644\u0643 \u063A\u0627\u0644\u0628\u0627\u064B \u0645\u0627 \u062A\u062B\u064A\u0631 \u0641\u0636\u0648\u0644 \u063A\u064A\u0631-\u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A\u064A\u064A\u0646\u060C \u0645\u0645\u0627 \u062A\u062F\u0641\u0639\u0647\u0645 \u0625\u0644\u0649 \u062F\u0631\u0627\u0633\u0629 \u0627\u0644\u0645\u0632\u064A\u062F \u0641\u064A \u0639\u0644\u0645 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A."@ar . . . . . "La matem\u00E1tica recreativa es un \u00E1rea de las matem\u00E1ticas que se concentra en la obtenci\u00F3n de resultados acerca de actividades l\u00FAdicas, y tambi\u00E9n la que se dedica a difundir o divulgar de manera entretenida y motivadora los conocimientos, temas o problemas de las matem\u00E1ticas. El concepto de matem\u00E1tica recreativa es tan viejo como lo son los juegos en los que interviene la l\u00F3gica o el c\u00E1lculo de alg\u00FAn modo. Entre las personas que han contribuido notablemente a la divulgaci\u00F3n de las matem\u00E1ticas recreativas en nuestro tiempo destacan Martin Gardner, con libros como El ahorcamiento inesperado y otros entretenimientos matem\u00E1ticos, Nuevos pasatiempos matem\u00E1ticos y Y\u00E1kov Perelm\u00E1n, quien public\u00F3 varias obras sobre matem\u00E1ticas, aritm\u00E9tica, geometr\u00EDa, \u00E1lgebra, f\u00EDsica y astronom\u00EDa recreativas."@es . . . . . . "26446"^^ . . . . "Recreational mathematics"@en . . . . . . . . . . . . "Matematika rekreasi adalah istilah untuk memberi arti permainan ke matematika, otodidak, permainan kesenangan sendiri, dan bukan untuk matematika professional yang pengerjaan terlalu serius. Matematika rekreasi sering melibatkan Teka teki matematika dan Quiz matematika.Matematika rekreasi sering kali kerap digunakan oleh matematikawan untuk bermain karena rasa penasarannya yang ingin mengerjakan. Matematika rekreasi digunakan untuk: \n* Mengasah logika dalam kesenangan tetapi tetap serius \n* Mengetahui indahnya matematika dalam hidup \n* Melacak kebenaran hasil matematika dan kebetulannya \n* Ketelitian"@in . . . . . . . . . . "Matematika rekreasi adalah istilah untuk memberi arti permainan ke matematika, otodidak, permainan kesenangan sendiri, dan bukan untuk matematika professional yang pengerjaan terlalu serius. Matematika rekreasi sering melibatkan Teka teki matematika dan Quiz matematika.Matematika rekreasi sering kali kerap digunakan oleh matematikawan untuk bermain karena rasa penasarannya yang ingin mengerjakan. Matematika rekreasi digunakan untuk:"@in . . . "Les math\u00E9matiques r\u00E9cr\u00E9atives incluent de nombreux jeux math\u00E9matiques, et peuvent \u00EAtre \u00E9tendues pour couvrir des domaines comme la logique ainsi que d'autres puzzles de raisonnements d\u00E9ductifs. La plupart des probl\u00E8mes pos\u00E9s ne requi\u00E8rent pas une connaissance de math\u00E9matiques avanc\u00E9es, mais plut\u00F4t une bonne logique. Les math\u00E9matiques r\u00E9cr\u00E9atives incluent par exemple les carr\u00E9s magiques, les cryptarithmes, les propri\u00E9t\u00E9s remarquables de certains nombres, les formules permettant de calculer le nombre Pi avec plus ou moins de d\u00E9cimales, les nombres premiers, les tests ou astuces de raisonnement logique, les probl\u00E8mes li\u00E9s \u00E0 des jeux \u00E0 base math\u00E9matique (\u00E9checs, go, othello...) etc."@fr . "\u03A8\u03C5\u03C7\u03B1\u03B3\u03C9\u03B3\u03B9\u03BA\u03AC \u03BC\u03B1\u03B8\u03B7\u03BC\u03B1\u03C4\u03B9\u03BA\u03AC"@el . . . . "Rekrea\u010Dn\u00ED matematika je matematika provozovan\u00E1 jen pro rekreaci (z\u00E1bavu), sp\u00ED\u0161e ne\u017E jako p\u0159\u00EDsn\u011B v\u00FDzkumn\u00E1 a aplika\u010Dn\u011B zalo\u017Een\u00E1 profesn\u00ED \u010Dinnost. Zahrnuje vytv\u00E1\u0159en\u00ED a lu\u0161t\u011Bn\u00ED hlavolam\u016F matematick\u00E9 povahy, tvorbu z\u00E1bavn\u00FDch matematick\u00FDch \u00FAloh nebo vytv\u00E1\u0159en\u00ED a hran\u00ED her zalo\u017Een\u00FDch na matematice. Mnoho t\u00E9mat v t\u00E9to oblasti nevy\u017Eaduje \u017E\u00E1dn\u00E9 znalosti pokro\u010Dil\u00E9 matematiky. H\u00E1danky a hry, kter\u00E9 rekrea\u010Dn\u00ED matematika zahrnuje, jsou \u010Dasto p\u0159ita\u017Eliv\u00E9 pro d\u011Bti a netr\u00E9novan\u00E9 dosp\u011Bl\u00E9, a mohou je inspirovat k jejich dal\u0161\u00EDmu studiu p\u0159edm\u011Btu."@cs . "\u5A1B\u6A02\u6578\u5B78\uFF08\u82F1\u8A9E\uFF1ARecreational mathematics\uFF09\u662F\u548C\u5A1B\u6A02\u6709\u95DC\u7684\u6578\u5B78\uFF0C\u4E0D\u662F\u56E0\u70BA\u7D14\u7CB9\u5B78\u8853\u7814\u7A76\u6216\u662F\u5BE6\u52D9\u61C9\u7528\u9700\u6C42\u800C\u6709\u7684\u6578\u5B78\u9818\u57DF\u3002\u5A1B\u6A02\u6578\u5B78\u5305\u62EC\u4E86\u6578\u5B78\u8B0E\u984C\u53CA\u6578\u5B78\u904A\u6232\uFF0C\u63A2\u8A0E\u8005\u4E0D\u9650\u65BC\u6578\u5B78\u696D\u9918\u611B\u597D\u8005\uFF0C\u4E0D\u904E\u6709\u4E9B\u4E3B\u984C\u4E0D\u9700\u7528\u5230\u9AD8\u6DF1\u7684\u6578\u5B78\uFF0C\u56E0\u6B64\u5A1B\u6A02\u6578\u5B78\u5E38\u6703\u5F15\u8D77\u4E00\u822C\u4EBA\u5C0D\u6578\u5B78\u7684\u597D\u5947\u5FC3\uFF0C\u9032\u800C\u66F4\u591A\u7684\u4E86\u89E3\u6578\u5B78\u3002 \u7F8E\u56FD\u6570\u5B66\u534F\u4F1A\u5728\u517617\u500B\u9818\u57DF\u5206\u7D44\uFF08SIG\uFF09\u4E2D\u4E5F\u5305\u62EC\u4E86\u5A1B\u6A02\u6578\u5B78\u5728\u5167\u3002"@zh . . "Jolas-matematika joko eta buruhausgarriak matematikaerabiliz ebazten dituen arloa da. Jolas eta denborapasaz gainera, matematika aztertu etaikasteko era bat da. Horrela, jolas-matematikak probabilitate, grafo-teoria, geometria, zenbaki-teoria eta aljebrako ebazkizun sortu eta ikerketa bideberriak zabaltzeko balio izan du historian zehar. Aldi berean, matematikaren didaktikan, haur eta gazteei matematika modu erakargarri batez irakasteko tresnatzat hartzen da . Jolas-matematikaren arloan lan egin eta liburuak plazaratu dituztenen artean, , Martin Gardner eta matematikariak daude. Beste alde batetik, zientzia eta matematikari buruzko aldizkari ospetsuek, hala nola Scientific American, jolas-matematikari buruzko atalak sartu ohi dituzte euren aleetan."@eu . . . . . . . . "\u0420\u0435\u043A\u0440\u0435\u0430\u0446\u0456\u0439\u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430"@uk . "Matem\u00E0tica recreativa"@ca . . . . . . "Unter Unterhaltungsmathematik versteht man die Besch\u00E4ftigung mit mathematischen Fragestellungen, welche vorrangig unter dem Aspekt des Zeitvertreibs betrieben wird. Dazu z\u00E4hlen auch Denksportaufgaben, mathematische R\u00E4tsel und humorvolle Glossen, die oft aktuelle Themen der Mathematik auf unterhaltsame Art vorstellen. Beispiele hierf\u00FCr sind die Mathematischen Unterhaltungen im Wissenschaftsmagazin Spektrum der Wissenschaft und die Logelei von Zweistein in der Wochenzeitung Die Zeit."@de . "Unterhaltungsmathematik"@de . "Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity or as a part of a student's formal education. Although it is not necessarily limited to being an endeavor for amateurs, many topics in this field require no knowledge of advanced mathematics. Recreational mathematics involves mathematical puzzles and games, often appealing to children and untrained adults, inspiring their further study of the subject. The Mathematical Association of America (MAA) includes recreational mathematics as one of its seventeen Special Interest Groups, commenting: Recreational mathematics is not easily defined because it is more than mathematics done as a diversion or playing games that involve mathematics. Recreational mathematics is inspired by deep ideas that are hidden in puzzles, games, and other forms of play. The aim of the SIGMAA on Recreational Mathematics (SIGMAA-Rec) is to bring together enthusiasts and researchers in the myriad of topics that fall under recreational math. We will share results and ideas from our work, show that real, deep mathematics is there awaiting those who look, and welcome those who wish to become involved in this branch of mathematics. Mathematical competitions (such as those sponsored by mathematical associations) are also categorized under recreational mathematics."@en . . . . .