Acronym | ... |
Name | Waterman polychoron number 4 wrt. primitive tesseractic lattice C4 centered at a hole |
Circumradius | sqrt(7) = 2.645751 |
Face vector | 128, 416, 400, 112 |
By the very definition of Waterman polytopes, not necessarily all vertices are on the same sphere. However in here both the 64 (Q,x)-sidpith vertices and the 64 (q,x)-tat vertices belong to the same radius.
Incidence matrix according to Dynkin symbol
Qo3oo3oq4xx&#zh → height = 0 where Q = sqrt(8) = 2.828427 (pseudo) (tegum sum of (Q,x)-sidpith with (q,x)-tat) o.3o.3o.4o. | 64 * | 3 3 0 0 | 3 3 3 0 | 1 3 1 0 .o3.o3.o4.o | * 64 | 0 3 3 1 | 0 6 3 3 | 0 3 3 1 ----------------+-------+--------------+--------------+----------- .. .. .. x. | 2 0 | 96 * * * | 2 0 1 0 | 1 2 0 0 x oo3oo3oo4oo&#h | 1 1 | * 192 * * | 0 2 1 0 | 0 2 1 0 h .. .. .q .. | 0 2 | * * 96 * | 0 2 0 2 | 0 1 2 1 q .. .. .. .x | 0 2 | * * * 32 | 0 0 3 0 | 0 3 0 0 x ----------------+-------+--------------+--------------+----------- .. .. o.4x. | 4 0 | 4 0 0 0 | 48 * * * | 1 1 0 0 .. .. oq ..&#h | 1 2 | 0 2 1 0 | * 192 * * | 0 1 1 0 .. .. .. xx&#h | 2 2 | 1 2 0 1 | * * 96 * | 0 2 0 0 .. .o3.q .. | 0 3 | 0 0 3 0 | * * * 64 | 0 0 1 1 ----------------+-------+--------------+--------------+----------- .. o.3o.4x. | 8 0 | 12 0 0 0 | 6 0 0 0 | 8 * * * x-cube Qo .. oq4xx&#zh | 8 8 | 8 16 4 4 | 2 8 8 0 | * 24 * * Qo oq4xx&#zh (squobcu variant) .. oo3oq ..&#h | 1 3 | 0 3 3 0 | 0 3 0 1 | * * 64 * oo3oq&#h (tall tet variant) .o3.o3.q .. | 0 4 | 0 0 6 0 | 0 0 0 4 | * * * 16 q-tet
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