Youtor
Rithmomachy
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Rithmomachy (or Rithmomachia, also Arithmomachia, Rythmomachy, Rhythmomachy, or sundry other variants; sometimes known as The Philosophers' Game) is a highly complex, early European mathematical board game. The earliest known description of it dates from the eleventh century. A literal translation of the name is The Battle of the Numbers . The game is much like chess, except most methods of capture depend on the numbers inscribed on each piece. • It has been argued that between the twelfth and sixteenth centuries, rithmomachia served as a practical exemplar for teaching the contemplative values of Boethian mathematical philosophy, which emphasized the natural harmony and perfection of number and proportion. The game, Moyer argues, was used both as a mnemonic drill for the study of Boethian number theory and, more importantly, as a vehicle for moral education, by reminding players of the mathematical harmony of creation. • • This video is targeted to blind users. • Attribution: • Article text available under CC-BY-SA • Creative Commons image source in video","styleRuns":[{"startIndex":0,"length":1066,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":1066,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"compositeVideoPrimaryInfoRenderer":{}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CM4BELsvGAMiEwif6OCk0LmMAxWrEXMJHVUaCmw=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SCzR0bFVFcXFQamlNGAYyJSIRIgs0dGxVRXFxUGppTTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CM4BELsvGAMiEwif6OCk0LmMAxWrEXMJHVUaCmw=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CM0BELovIhMIn-jgpNC5jAMVqxFzCR1VGgps"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"1NcZTzoG6kI","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/1NcZTzoG6kI/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLCLiVKTg2czXrTUved96rXACn1FMg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/1NcZTzoG6kI/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLD4XsaGeDcceEQbXqFTACD3UQgZWA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"How to play Hex ΠΎΡ „Triple S Games“ 21 028 ΠΏΠΎΠΊΠ°Π·Π²Π°Π½ΠΈΡ ΠΏΡΠ΅Π΄ΠΈ 4 Π³ΠΎΠ΄ΠΈΠ½ΠΈ 1 ΠΌΠΈΠ½ΡΡΠ° ΠΈ 25 ΡΠ΅ΠΊΡΠ½Π΄ΠΈ"}},"simpleText":"How to play Hex"},"longBylineText":{"runs":[{"text":"Triple S Games","navigationEndpoint":{"clickTrackingParams":"CMcBEKQwGAAiEwif6OCk0LmMAxWrEXMJHVUaCmwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TripleSGames","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5--Olk4nljSNeT5wXfTOuA","canonicalBaseUrl":"/@TripleSGames"}}}]},"publishedTimeText":{"simpleText":"ΠΏΡΠ΅Π΄ΠΈ 4 Π³ΠΎΠ΄ΠΈΠ½ΠΈ"},"viewCountText":{"simpleText":"21 028 ΠΏΠΎΠΊΠ°Π·Π²Π°Π½ΠΈΡ"},"lengthText":{"accessibility":{"accessibilityData":{"label":"1 ΠΌΠΈΠ½ΡΡΠ° ΠΈ 25 ΡΠ΅ΠΊΡΠ½Π΄ΠΈ"}},"simpleText":"1:25"},"navigationEndpoint":{"clickTrackingParams":"CMcBEKQwGAAiEwif6OCk0LmMAxWrEXMJHVUaCmwyB3JlbGF0ZWRIo5y-1KqC1eziAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=1NcZTzoG6kI pp=0gcJCc0AaK0XXGki","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"1NcZTzoG6kI","playerParams":"0gcJCc0AaK0XXGki","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr1---sn-uxaxiv0nxx5q-nv4s.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 onvi=1 id=d4d7194f3a06ea42 ip=185.82.219.199 initcwndbps=2858750 mt=1743606087 oweuc= pxtags=Cg4KAnR4Egg1MTM3OTYyNQ rxtags=Cg4KAnR4Egg1MTM3OTYyMw%2CCg4KAnR4Egg1MTM3OTYyNA%2CCg4KAnR4Egg1MTM3OTYyNQ%2CCg4KAnR4Egg1MTM3OTYyNg"}}}}},"shortBylineText":{"runs":[{"text":"Triple S Games","navigationEndpoint":{"clickTrackingParams":"CMcBEKQwGAAiEwif6OCk0LmMAxWrEXMJHVUaCmwyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@TripleSGames","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UC5--Olk4nljSNeT5wXfTOuA","canonicalBaseUrl":"/@TripleSGames"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/qZXO41QYgz6DeChaOsUi8vVTFQcR-0bTxHp7IJqLLpQyc8ncROxvuB9LoHbYRrihKGdoLy3P=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"ownerBadges":[{"metadataBadgeRenderer":{"icon":{"iconType":"CHECK_CIRCLE_THICK"},"style":"BADGE_STYLE_TYPE_VERIFIED","tooltip":"ΠΠΎΡΠ²ΡΡΠ΄Π΅Π½","trackingParams":"CMcBEKQwGAAiEwif6OCk0LmMAxWrEXMJHVUaCmw=","accessibilityData":{"label":"ΠΠΎΡΠ²ΡΡΠ΄Π΅Π½"}}}],"trackingParams":"CMcBEKQwGAAiEwif6OCk0LmMAxWrEXMJHVUaCmxAwtSb0POpxuvUAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"21 Ρ ΠΈΠ»ΡΠ΄ΠΈ ΠΏΠΎΠΊΠ°Π·Π²Π°Π½ΠΈΡ"}},"simpleText":"21 Ρ ΠΈΠ». 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