h-net: hqc2356


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(6,6,2)
Vertex degrees{6,4,4,3,12,4}
2D vertex symbol {6.6.6.6.6.6}{6.6.6.6}{6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(6, 18, 60, 216, 516, 1776, 4218, 14310, 34476, 117288), (4, 16, 52, 136, 476, 1136, 3876, 9296, 31604, 76184), (4, 16, 36, 120, 292, 992, 2404, 8200, 19756, 67288), (3, 7, 27, 60, 201, 485, 1641, 3984, 13588, 32759), (12, 24, 84, 192, 636, 1560, 5316, 12864, 43884), (4, 22, 42, 144, 334, 1106, 2716, 9264, 22404, 76424)]
Delaney-Dress Symbol <2356.2:14:2 4 6 8 10 12 14,1 3 5 6 9 14 11 13,1 2 3 4 7 8 9 10 11 12 13 14:6 4,6 4 4 3 12 4>
Dual net hqc2296

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 sqc9983 R-3m 166 rhombohedral {6,4,4,3,12,4} 20 (6,6)
Full image sqc9940 R-3 148 rhombohedral {6,4,4,3,12,4} 20 (6,7)
Full image sqc9942 R-3 148 rhombohedral {6,4,4,3,12,4} 20 (6,7)
Full image sqc9941 R-3m 166 rhombohedral {6,4,4,3,12,4} 20 (6,6)

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 UQC5899 *2626 (6,6,2) {6,4,4,3,12,4} {6.6.6.6.6.6}{6.6.6.6}{6.4.4.6}{... Snet sqc9983 Snet sqc9942 Snet sqc9941
Tiling details UQC5900 *2626 (6,6,2) {6,4,4,3,12,4} {6.6.6.6.6.6}{6.6.6.6}{6.4.4.6}{... Snet sqc9941 Snet sqc9940 Snet sqc9983

Symmetry-lowered hyperbolic tilings