Acronym | radh |
Name |
rhombic dodecahedral honeycomb, Voronoi complex of face-centered cubic (fcc) lattice |
© | |
Vertex figure | cube, q-tet |
Dual | octet |
External links |
The vertex set of the rhombic dodecahedral honeycomb is a compound of 2 diamond "lattice"s. In fact already its edge skeleton can be identified by the respective shortest vectors.
The rhombs {(r,R)^{2}} have vertex angles r = arccos(1/3) = 70.528779° resp. R = arccos(-1/3) = 109.471221°. Esp. rr : RR = sqrt(2).
(N → ∞) N * ♦ 8 | 12 | 6 * 2N ♦ 4 | 6 | 4 -------+----+----+-- 1 1 | 8N | 3 | 3 -------+----+----+-- 2 2 | 4 | 6N | 2 {(r,R)^{2}} -------+----+----+-- ♦ 6 8 | 24 | 12 | N
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