| Acronym | cutpica |
| Name | cubatitrunciprismated cubatiapeiratic honeycomb |
As abstract polytope cutpica is isomorphic to gactipeca, thereby replacing the octagons of the diagrammal tail by octagrams, resp. girco by quitco and tosquat by qrasquit. – It also is isomorphic to caquitpica, thereby interchanging octagons and octagrams within the diagrammal loop, resp. replacing stop by op and tosquat by qrasquit. – Finally it is isomorphic to gacquitpica, when applying both these changes independantly, thereby replacing tosquat by quitsquat.
Incidence matrix according to Dynkin symbol
x4x3x4/3x4*b (N,M → ∞) . . . . | 48NM | 1 1 1 1 | 1 1 1 1 1 1 | 1 1 1 1 -------------+------+---------------------+---------------------------+------------- x . . . | 2 | 24NM * * * | 1 1 1 0 0 0 | 1 1 1 0 . x . . | 2 | * 24NM * * | 1 0 0 1 1 0 | 1 1 0 1 . . x . | 2 | * * 24NM * | 0 1 0 1 0 1 | 1 0 1 1 . . . x | 2 | * * * 24NM | 0 0 1 0 1 1 | 0 1 1 1 -------------+------+---------------------+---------------------------+------------- x4x . . | 8 | 4 4 0 0 | 6NM * * * * * | 1 1 0 0 x . x . | 4 | 2 0 2 0 | * 12NM * * * * | 1 0 1 0 x . . x | 4 | 2 0 0 2 | * * 12NM * * * | 0 1 1 0 . x3x . | 6 | 0 3 3 0 | * * * 8NM * * | 1 0 0 1 . x . x4*b | 8 | 0 4 0 4 | * * * * 6NM * | 0 1 0 1 . . x4/3x | 8 | 0 0 4 4 | * * * * * 6NM | 0 0 1 1 -------------+------+---------------------+---------------------------+------------- x4x3x . ♦ 48 | 24 24 24 0 | 6 12 0 8 0 0 | NM * * * x4x . x4*b ♦ 8M | 4M 4M 0 4M | M 0 2M 0 M 0 | * 6N * * x . x4/3x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 2 | * * 3NM * . x3x4/3x4*b ♦ 48 | 0 24 24 24 | 0 0 0 8 6 6 | * * * NM
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