Acronym | ... |
Name | small-rhombated-pentachoron dual |
Inradius | 2/sqrt(35) = 0.338062 |
Dual | srip |
Face vector | 20, 80, 90, 30 |
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 bipyramid on (pseudo) base xee with tip-to-tip distance b.
Incidence matrix according to Dynkin symbol
m3o3m3o = aoo3obo3ooo3oox&#z(c,d,e) → height = 0 a = 2/3 = 0.666667 (pseudo) b = 4/7 = 0.571429 (pseudo) c = lacing(1,2) = 8/21 = 0.380952 d = lacing(2,3) = 3 sqrt(2)/7 = 0.606092 e = lacing(1,3) = a = 2/3 = 0.666667 o..3o..3o..3o.. | 5 * * ♦ 4 4 0 0 | 12 0 | 6 .o.3.o.3.o.3.o. | * 10 * ♦ 2 0 3 0 | 6 3 | 6 ..o3..o3..o3..o | * * 5 ♦ 0 4 6 4 | 12 12 | 12 --------------------------+--------+-------------+-------+--- oo.3oo.3oo.3oo.&#c | 1 1 0 | 20 * * * | 3 0 | 3 o.o3o.o3o.o3o.o&#e | 1 0 1 | * 20 * * | 3 0 | 3 .oo3.oo3.oo3.oo&#d | 0 1 1 | * * 30 * | 2 2 | 4 ... ... ... ..x | 0 0 2 | * * * 10 | 0 3 | 3 --------------------------+--------+-------------+-------+--- ooo3ooo3ooo3ooo&#r(c,d,e) | 1 1 1 | 1 1 1 0 | 60 * | 2 ... ... ... .ox&#d | 0 1 2 | 0 0 2 1 | * 30 | 2 --------------------------+--------+-------------+-------+--- ... obo ... oox&#(c,d,e)t | 1 2 2 | 2 2 4 1 | 4 2 | 30
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