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Talk:Pentagonal polytope

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another series

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There's another interesting dimensional series of polytopes: {3,4} octahedron/cube/snub cube, {3,4,3} 24-cell/snub 24-cell, {3,4,3,3} 24-cell honeycomb/16-cell honeycomb/snub 24-cell honeycomb in Euclidean 4-space, and {3,4,3,3,3} noncompact honeycomb(s) in hyperbolic 5-space. Tom Ruen (talk) 01:32, 24 November 2011 (UTC)[reply]

I think this is the Fn family of polytopes. I would create an article on that, but I'm not sure what would be a good title. Double sharp (talk) 14:28, 11 January 2012 (UTC)[reply]
We might also have an article for the Gn family (which - I think - contains {6}, {6, 3}, {6, 3, 3}, etc.) Double sharp (talk) 14:33, 11 January 2012 (UTC)[reply]

Let's see what we have: Tom Ruen (talk) 16:32, 4 February 2012 (UTC)[reply]

G family polytope: S1, E2, H3
F family polytope: S2, S3, E4, H5

Projections

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I wonder how this could be included? Tom Ruen (talk) 00:48, 9 May 2013 (UTC)[reply]

Pentagon Icosahedron Dodecahedron 600-cell 120-cell
V:5 V:12 V:20 V:120 V:600
5-cell 311 131 421 142
V:5 V:12 V:32 V:240 V:17280