Acronym | ... |
Name | isomorph of small rhombihemipenteract |
Circumradius | sqrt(5/8) = 0.790569 |
Confer |
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As abstract polytope this Grünbaumian polytope is isomorphic to sirhin, thereby replacing the retrograde by prograde triangles, 2thah by co, resp. 2tho+24{4} by rit and pinnip+5 2thah by srip.
Incidence matrix according to Dynkin symbol
x3/2o3o *b3x3o . . . . . | 160 | 3 6 | 3 6 6 3 | 1 6 3 2 3 | 2 3 1 ---------------+-----+---------+-----------------+----------------+--------- x . . . . | 2 | 240 * | 2 2 0 0 | 1 4 1 0 0 | 2 2 0 . . . x . | 2 | * 480 | 0 1 2 1 | 0 2 1 1 2 | 1 2 1 ---------------+-----+---------+-----------------+----------------+--------- x3/2o . . . | 3 | 3 0 | 160 * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 2 | * 240 * * | 0 2 1 0 0 | 1 2 0 . o . *b3x . | 3 | 0 3 | * * 320 * | 0 1 0 1 1 | 1 1 1 . . . x3o | 3 | 0 3 | * * * 160 | 0 0 1 0 2 | 0 2 1 ---------------+-----+---------+-----------------+----------------+--------- x3/2o3o . . ♦ 4 | 6 0 | 4 0 0 0 | 40 * * * * | 2 0 0 x3/2o . *b3x . ♦ 12 | 12 12 | 4 6 4 0 | * 80 * * * | 1 1 0 x . . x3o ♦ 6 | 3 6 | 0 3 0 2 | * * 80 * * | 0 2 0 . o3o *b3x . ♦ 4 | 0 6 | 0 0 4 0 | * * * 80 * | 1 0 1 . o . *b3x3o ♦ 6 | 0 12 | 0 0 4 4 | * * * * 80 | 0 1 1 ---------------+-----+---------+-----------------+----------------+--------- x3/2o3o *b3x . ♦ 32 | 48 48 | 32 24 32 0 | 8 8 0 8 0 | 10 * * x3/2o . *b3x3o ♦ 30 | 30 60 | 10 30 20 20 | 0 5 10 0 5 | * 16 * . o3o *b3x3o ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 5 5 | * * 16
x3o3o *b3/2x3o . . . . . | 160 | 3 6 | 3 6 6 3 | 1 6 3 2 3 | 2 3 1 ---------------+-----+---------+-----------------+----------------+--------- x . . . . | 2 | 240 * | 2 2 0 0 | 1 4 1 0 0 | 2 2 0 . . . x . | 2 | * 480 | 0 1 2 1 | 0 2 1 1 2 | 1 2 1 ---------------+-----+---------+-----------------+----------------+--------- x3o . . . | 3 | 3 0 | 160 * * * | 1 2 0 0 0 | 2 1 0 x . . x . | 4 | 2 2 | * 240 * * | 0 2 1 0 0 | 1 2 0 . o . *b3/2x . | 3 | 0 3 | * * 320 * | 0 1 0 1 1 | 1 1 1 . . . x3o | 3 | 0 3 | * * * 160 | 0 0 1 0 2 | 0 2 1 ---------------+-----+---------+-----------------+----------------+--------- x3o3o . . ♦ 4 | 6 0 | 4 0 0 0 | 40 * * * * | 2 0 0 x3o . *b3/2x . ♦ 12 | 12 12 | 4 6 4 0 | * 80 * * * | 1 1 0 x . . x3o ♦ 6 | 3 6 | 0 3 0 2 | * * 80 * * | 0 2 0 . o3o *b3/2x . ♦ 4 | 0 6 | 0 0 4 0 | * * * 80 * | 1 0 1 . o . *b3/2x3o ♦ 6 | 0 12 | 0 0 4 4 | * * * * 80 | 0 1 1 ---------------+-----+---------+-----------------+----------------+--------- x3o3o *b3/2x . ♦ 32 | 48 48 | 32 24 32 0 | 8 8 0 8 0 | 10 * * x3o . *b3/2x3o ♦ 30 | 30 60 | 10 30 20 20 | 0 5 10 0 5 | * 16 * . o3o *b3/2x3o ♦ 10 | 0 30 | 0 0 20 10 | 0 0 0 5 5 | * * 16
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