Acronym | ... |
Name | great-rhombated-pentachoron dual |
Inradius | 3/sqrt(85) = 0.325396 |
Dual | grip |
Face vector | 20, 80, 120, 60 |
Confer |
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This polychoron can be obtained as the convex hull of 2 mutually dual pens and one rap of according ratios a, x and b respectively. Edges a and b become internal (pseudo). Only x and the 3 lacings remain. Each cell is a simplex with just a single mirror symmetry orthogonal to that edge x.
Incidence matrix according to Dynkin symbol
m3m3m3o = aoo3obo3ooo3oox&#z(c,d,e) → height = 0 a = 2/3 = 0.666667 b = 6/13 = 0.461538 c = lacing(1,2) = 2 sqrt(46)/39 = 0.347812 d = lacing(2,3) = sqrt(58)/13 = 0.585829 e = lacing(1,3) = 2/3 = 0.666667 o..3o..3o..3o.. | 5 * * ♦ 4 4 0 0 | 12 6 0 | 12 .o.3.o.3.o.3.o. | * 10 * ♦ 2 0 3 0 | 6 0 3 | 6 ..o3..o3..o3..o | * * 5 ♦ 0 4 6 4 | 12 12 12 | 24 --------------------------+--------+-------------+----------+--- oo.3oo.3oo.3oo.&#c | 1 1 0 | 20 * * * | 3 0 0 | 3 o.o3o.o3o.o3o.o&#e | 1 0 1 | * 20 * * | 3 3 0 | 6 .oo3.oo3.oo3.oo&#d | 0 1 1 | * * 30 * | 2 0 2 | 4 ... ... ... ..x | 0 0 2 | * * * 10 | 0 3 3 | 6 --------------------------+--------+-------------+----------+--- ooo3ooo3ooo3ooo&#r(c,d,e) | 1 1 1 | 1 1 1 0 | 60 * * | 2 ... ... ... o.x&#e | 1 0 2 | 0 2 0 1 | * 30 * | 2 ... ... ... .ox&#d | 0 1 2 | 0 0 2 1 | * * 30 | 2 --------------------------+--------+-------------+----------+--- ... ... ... oox&#(c,d,e) | 1 1 2 | 1 2 2 1 | 2 1 1 | 60
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