Acronym | ... |
Name | Waterman polyhedron number 9 wrt. face-centered cubic lattice A3 centered at a lattice point |
© | |
Circumradius | 3 |
Face vector | 36, 72, 38 |
The unit here was chosen as the root of A3.
By the very definition of Waterman polyhedra, not necessarily all vertices are on the same sphere. However in here both the 12 vertices of the d-scaled co layer and the other 24 vertices of the (d,q)-sirco layer belong to the same radius.
Incidence matrix according to Dynkin symbol
od3do4oq&#zh → height = 0, where d = 3 (pseudo) (tegum sum of d-co and (d,q)-sirco) o.3o.4o. | 12 * | 4 0 | 2 2 0 .o3.o4.o | * 24 | 2 2 | 1 2 1 -------------+-------+-------+------- oo3oo4oo&#h | 1 1 | 48 * | 1 1 0 h .. .. .q | 0 2 | * 24 | 0 1 1 q -------------+-------+-------+------- od3do ..&#zh | 3 3 | 6 0 | 8 * * {6} .. .. oq&#h | 1 2 | 2 1 | * 24 * .. .o4.q | 0 4 | 0 4 | * * 6
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