Acronym | snit |
Name |
pyritohedron, pyritosnub tetrahedron, o2o2o symmetric ike variant, vertex figure of hyperbolic cube + n-prism honeycomb |
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Circumradius | sqrt[a^{2}+c^{2}] |
Especially | cube-dim-doe (c:a = F) alternated toe (a,c,d) = (q,Q,h) |
Confer | |
External links |
This polyhedron is isogonal only. It requires for 2 edge sizes a and d. (c here is a pseudo edge only.)
The transition a → c will result in qqo oqq qoq&#zx (co). Then the a edges also become pseudo ones too, the incidences then would differ accordingly.
The case d:a = 1, c:a = f results in the fxo xof ofx&#zx (ike).
The case (a,c,d) → (q,Q,h) (where Q = 2q, i.e. c:a = 2) results in the Qqo oQq qoQ&#zh (alternated toe) and would reflect the mere alternated faceting wrt. a vertex alternation with starting figure toe.
The case d:a = f, c:a = F results in the Fxo xoF oFx&#zf (cube-dim-doe).
Incidence matrix according to Dynkin symbol
cao aoc oca&#zd → height = 0 a < c d = sqrt[(a^{2}-ac+c^{2})/2] o.. o.. o.. & | 12 | 1 4 | 3 2 ------------------+----+------+----- ... a.. ... & | 2 | 6 * | 2 0 a oo. oo. oo.&#d & | 2 | * 24 | 1 1 d ------------------+----+------+----- ... ao. ...&#d & | 3 | 1 2 | 12 * add ooo ooo ooo&#d | 3 | 0 3 | * 8 d-{3}
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