Acronym | bideca (old: dudeca) |
Name |
bidecachoron, decachoron dual, bi-apiculated pentachoron |
© | |
Net |
© |
Circumradius | sqrt(2/3) = 0.816497 |
Inradius | sqrt(5/24) = 0.456435 |
Dual | deca |
Face vector | 10, 40, 60, 30 |
Confer |
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External links |
This polychoron can be obtained as the convex hull of the 2 pen compound (sted). Here all the edges of the former remain as long ones, while the short ones come in as interconnections of the 2 vertex set members. Each cell then joins a pair of adjacent vertices of one set to a pair of adjacent vertices of the other set, thus being a disphenoid.
Incidence matrix according to Dynkin symbol
o3m3m3o = ao3oo3oo3oa&#zx → height = 0, where a = sqrt(5/3) = 1.290994 o.3o.3o.3o. | 5 * ♦ 4 4 0 | 12 6 | 12 .o3.o3.o3.o | * 5 ♦ 0 4 4 | 6 12 | 12 ---------------+-----+----------+-------+--- a. .. .. .. | 2 0 | 10 * * | 3 0 | 3 a oo3oo3oo3oo&#x | 1 1 | * 20 * | 3 3 | 6 x .. .. .. .a | 0 2 | * * 10 | 0 3 | 3 a ---------------+-----+----------+-------+--- ao .. .. ..&#x | 2 1 | 1 2 0 | 30 * | 2 .. .. .. oa&#x | 1 2 | 0 2 1 | * 30 | 2 ---------------+-----+----------+-------+--- ao .. .. oa&#x | 2 2 | 1 4 1 | 2 2 | 30
or o.3o.3o.3o. & | 10 ♦ 4 4 | 18 | 12 -----------------+----+-------+----+--- a. .. .. .. & | 2 | 20 * | 3 | 3 a oo3oo3oo3oo&#x | 2 | * 20 | 6 | 6 x -----------------+----+-------+----+--- ao .. .. ..&#x & | 3 | 1 2 | 60 | 2 -----------------+----+-------+----+--- ao .. .. oa&#x | 4 | 2 4 | 4 | 30
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