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トーラスの連結和 - T#T#...#T

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Uploaded by on Jan 4, 2008

位相幾何学などの教科書や黒板でよく見かけるつながった浮き輪(又はトーラスの連結和)を3次元ユークリッド空間内でおそらくつくってみた動画。(たぶんC^∞級)写像f­:R^3→R(正確にはR^3からいくつか点を引く)の0の引き戻しで定義。近似解として擬似乱数で与えた点(x,y,z)をfに代入し|f|が小さな定数Δfより小さい­ならその点を表示することで表現。後半に臨界点をだいたい示しておおよそ2次元C^∞部分多様体であることをチェック。ソフト:NDisplay、Music by:闇詠乃 功良

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Science & Technology

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Standard YouTube License

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  • They look like a doggy biscuits!

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  • Can you please tell me what software you use ? good work !

  • music and visual goes very well together!

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