Talk:Snub dodecahedron
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Is the snub dodecahedron really obtained by rotating the pentagonal faces of the rhombicosidodecahedron, rather than those of some other expanded dodecahedron? According to Mathworld, the snub dodecahedron and the rhombicosidodecahedron with unit edge length have different circumradii: about 2.15 and 2.23 respectively. --Zio illy (talk) 15:43, 6 December 2007 (UTC)
- It's a qualitive description. If you want to rewrite it more clearly, please do. Tom Ruen (talk) 23:27, 6 December 2007 (UTC)
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- I don't understand why you said no rhombicosidodecahedron, since that's what an expanded dodecahedron is, but okay. Tom Ruen (talk) 01:10, 7 December 2007 (UTC)
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- Well, unless you require the expansion process to create regular polygons (a regular expansion, I believe), a rhombicosidodecahedron is an expanded dodecahedron and not the converse. Actually, I left the image of the rhombicosidodecahedron, in place of the correct expanded dodecahedron, just for the sake of qualitative description. If you feel like to draw a new one with rectangles in place of squares, you're very welcome. ^^ --Zio illy (talk) 02:27, 7 December 2007 (UTC)
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- Ah, I think the issue is a uniform rhombicosidodecahedron has square faces, while a more generalized rhombicosidodecahedron could have rectangle faces. But if you take a uniform rhombicosidodecahedron, delete the squares, but allow the triangle-pentagon connections as rotation points, the figure can smoothly transform until each gap can be filled by two equilateral triangles. The distance of the faces from the center will change as the rotation is performed. Tom Ruen (talk) 02:46, 7 December 2007 (UTC)
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- Oh! Right, this way it works. Nice job! --Zio illy (talk) 18:26, 7 December 2007 (UTC)
- Okay, glad you prodded me to write it up better, and I added an animation at rhombicosidodecahedron using Stella (software). For the snub form, I'll have to do my own computing to make a pretty animation - it would be cool to show a icosidodecahedron corner-point rotate to create gaps for a ccw snub, then to the square gaps for a rhombi-form, and then to the cw snub, and then back again to the icosidodecahedron! Someday! Tom Ruen (talk) 22:47, 7 December 2007 (UTC)
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