| Acronym | ... |
| Name |
complex honeycomb op-4-x2-4-o2, complex honeycomb x2-4-op-4-x2 |
| Vertex figure | xp x2 |
| Confer |
|
This is either the rectification of xp-4-o2-4-o2 or of its dual. As such it reuses that's edge count for the vertex count in here. The edges and faces can readily be read from the diagram. In fact, the faces are the duals of the former faces as well as the former vertex figures. For vertex figure in here one obviously gets (a scaled version of) xp x2.
When being considered instead as rhombation of x2-4-op-4-o2, the vertex count is obtained by the product of the vertex count of that pre-image and the edge count of its (old) vertex figure. Again the remainder is obtained from the new vertex figure, which here just happens to be xp || xp.
Incidence matrix according to Dynkin symbol
op-4-x2-4-o2 (N → ∞) . . . | 4pN ♦ 2p | 2 p ------------+-----+------+------- . x2 . | 2 | 4p2N | 1 1 ------------+-----+------+------- op-4-x2 . ♦ 2p | p2 | 4N * . x2-4-o2 ♦ 4 | 4 | * p2N
x2-4-op-4-x2 (N → ∞) . . . | 4pN ♦ p p | 1 p 1 ------------+-----+-----------+---------- x2 . . | 2 | 2p2N * | 1 1 0 . . x2 | 2 | * 2p2N | 0 1 1 ------------+-----+-----------+---------- x2-4-op . ♦ 2p | p2 0 | 2N * * x2 . x2 ♦ 4 | 2 2 | * p2N * . op-4-x2 ♦ 2p | 0 p2 | * * 2N
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