h-net: hqc2387


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{12,4,8,12,4}
2D vertex symbol {3.3.3.3.3.3.3.3.3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4.3}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(12, 36, 180, 624, 2988, 10140, 48852), (4, 20, 84, 336, 1434, 5484, 23434, 89824), (8, 40, 136, 656, 2232, 10744, 36536, 175904), (12, 48, 228, 768, 3708, 12624, 60756), (4, 24, 100, 448, 1596, 7364, 26204, 120512)]
Delaney-Dress Symbol <2387.2:14:2 4 6 8 10 12 14,3 6 5 9 14 11 13,1 2 3 4 7 8 9 10 11 12 13 14:3 4,12 4 8 12 4>
Dual net hqc2322

Derived s-nets

s-nets with faithful topology

4 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc9966 R-3m 166 rhombohedral {12,4,8,12,4} 14 (5,6)
Full image sqc9968 R-3 148 rhombohedral {12,4,8,12,4} 14 (5,7)
Full image sqc9969 R-3 148 rhombohedral {12,4,8,12,4} 14 (5,7)
Full image sqc9967 R-3m 166 rhombohedral {12,4,8,12,4} 14 (5,6)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5840 *2626 (5,6,2) {12,4,8,12,4} {3.3.3.3.3.3.3.3.3.3.3.3}{3.4.4.... Snet sqc9966 Snet sqc9968 Snet sqc9967
Tiling details UQC5841 *2626 (5,6,2) {12,4,8,12,4} {3.3.3.3.3.3.3.3.3.3.3.3}{3.4.4.... Snet sqc9967 Snet sqc9969 Snet sqc9966

Symmetry-lowered hyperbolic tilings