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[几何] 十二面体线框有多少自由参数

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hbghlyj posted 2023-7-16 22:15 |Read mode
十二面体线框(长度固定,角度可变)有多少自由参数?
例如正方体线框有3个自由参数(一个顶点处的3个角度决定了平行六面体)

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original poster hbghlyj posted 2023-7-16 23:17

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hejoseph posted 2023-7-21 10:27
光说十二面体是有很多的,并不只有像类似正十二面体的那种,底面为十一边形的棱锥也是十二面体。

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original poster hbghlyj posted 2023-7-21 18:22
Last edited by hbghlyj 2023-7-21 18:28Mathworld—Rigid Graph
Notes on the Rigidity of Graphs
Geiringer–Laman theorem

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original poster hbghlyj posted 2023-7-21 18:35
hejoseph 发表于 2023-7-21 10:27
光说十二面体是有很多的
Counting PolyhedraThere are 6,384,634 topologically distinct convex dodecahedra, excluding mirror images—the number of vertices ranges from 8 to 20.

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