Talk:Kinematics of the cuboctahedron
Latest comment: 1 month ago by Dc.samizdat in topic pseudoicosahedron
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Feedback from New Page Review process
editI left the following feedback for the creator/future reviewers while reviewing this article: Thanks for the article!.
last section
editseems better suited to Buckminster Fuller's article Arlo James Barnes 10:06, 2 March 2024 (UTC)
pseudoicosahedron
edit- Progressions between a cuboctahedron, pseudoicosahedron and octahedron. The cuboctahedron can flex this way even if its edges (but not its faces) are rigid.
Does the "pseudo" here mean that, although the vertices are those of a regular icosahedron, the cube faces become skew quadrilaterals with no diagonal edge (rather than becoming two triangles)? —Tamfang (talk) 06:41, 16 October 2024 (UTC)
- No, a pseudoicosahedron is a regular icosahedron with equilateral triangle faces. The pseudo- prefix simply recognizes that 6 of the 30 edges are missing. The cuboctahedron has only 24 edges, not 30 edges like the icosahedron. When the cuboctahedron folds its square faces into two triangles and contracts into an icosahedron, its vertices wind up at the vertex positions of a regular icosahedron, but that is only a pseudo regular icosahedron with 24 edges, not 30 edges. This is explained in the /* Rigid-edge transformation */ section of the article. Dc.samizdat (talk) 14:05, 17 October 2024 (UTC)