h-net: hqc872


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,3,4,6}
2D vertex symbol {12.6.12.6}{12.6.6}{6.6.6.6}{6.6.6.6.6.6}
Vertex coordination sequence [(4, 8, 22, 56, 152, 376, 1004, 2476, 6614, 16296), (3, 9, 22, 60, 150, 401, 987, 2636, 6497, 17355), (4, 14, 38, 94, 250, 614, 1640, 4040, 10792, 26602), (6, 18, 48, 126, 306, 816, 2010, 5370, 13236, 35358)]
Delaney-Dress Symbol <872.2:8:2 4 6 8,1 2 3 5 7 8,3 4 5 6 7 8:12 6,4 3 4 6>
Dual net hqc602

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 sqc5343 R-3m 166 rhombohedral {4,3,4,6} 13 (4,3)
Full image sqc5003 R-3 148 rhombohedral {4,3,4,6} 13 (4,4)
Full image sqc5008 R-3 148 rhombohedral {4,3,4,6} 13 (4,4)
Full image sqc5004 R-3m 166 rhombohedral {4,3,4,6} 13 (4,3)

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 UQC4204 *2626 (4,3,2) {4,3,4,6} {12.6.12.6}{12.6.6}{6.6.6.6}{6.6... Snet sqc5343 Snet sqc5008 Snet sqc5004
Tiling details UQC4205 *2626 (4,3,2) {4,3,4,6} {12.6.12.6}{12.6.6}{6.6.6.6}{6.6... Snet sqc5004 Snet sqc5003 Snet sqc5343

Symmetry-lowered hyperbolic tilings