Talk:Pentagonal polytope

another series
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)


 * 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)


 * 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)

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


 * G family polytope: S1, E2, H3
 * Regular 1: {6}, {6,3}, {6,3,3}
 * Truncated 1: t1{6}, t1{6,3}, t1{6,3,3}
 * Truncated 2: t1{6}, t1{3,6}, t1{3,3,6}
 * Regular 2: {6}, {3,6}, {3,3,6}
 * Omnitruncatd: o{6}, o{6,3}, o{6,3,3}
 * Snub: s{6}, s{6,3}, s{6,3,3}
 * F family polytope: S2, S3, E4, H5
 * Regular 1: {3,4}, {3,4,3}, {3,4,3,3}, {3,4,3,3,3}
 * Truncated 1: t{3,4}, t{3,4,3}, t{3,4,3,3}, t{3,4,3,3,3}
 * Rectified 1: t1{4,3}, t1{3,4,3}, t1{3,3,4,3}, t1{3,3,3,4,3}
 * Rectified 2: t1{4,3}, t1{3,4,3}, t1{3,3,4,3}, t1{3,3,3,4,3}
 * Truncated 2: t{4,3}, t{3,4,3}, {3,3,4,3}, t{3,3,3,4,3}
 * Regular 2: {4,3}, {3,4,3}, {3,3,4,3}, {3,3,3,4,3}
 * Cantellated: t0,2{3,4}, t0,2{3,4,3}, t0,2{3,4,3,3}, t0,2{3,4,3,3,3}
 * Cantitruncated: t0,1,2{3,4}, t0,1,2{3,4,3}, t0,1,2{3,4,3,3}, t0,1,2{3,4,3,3,3}
 * Omnitruncated: o{3,4}, o{3,4,3}, o{3,4,3,3}, o{3,4,3,3,3}
 * Snub s{3,4}, s{3,4,3}, s{3,4,3,3}, s{3,4,3,3,3}

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