h-net: hqc1030


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,18}
2D vertex symbol {12.4.6}{6.4.4.6.4.4.6.4.4.6.4.4.6.4.4.6.4.4}
Vertex coordination sequence [(18, 114, 600, 3126, 16422, 86568), (3, 20, 131, 726, 3831, 20120, 105943)]
Delaney-Dress Symbol <1030.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:12 6 4,3 18>
Dual net hqc1203

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 sqc6134 R-3m 166 rhombohedral {18,3} 13 (2,4)
Full image sqc6117 R-3 148 rhombohedral {18,3,3} 13 (3,5)
Full image sqc6133 R-3 148 rhombohedral {18,3,3} 13 (3,5)
Full image sqc6125 R-3m 166 rhombohedral {18,3} 13 (2,4)

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 UQC1144 *2626 (2,4,3) {18,3} {12.4.6}{6.4.4.6.4.4.6.4.4.6.4.4... Snet sqc6134 Snet sqc6133 Snet sqc6125
Tiling details UQC1145 *2626 (2,4,3) {18,3} {12.4.6}{6.4.4.6.4.4.6.4.4.6.4.4... Snet sqc6125 Snet sqc6117 Snet sqc6134

Symmetry-lowered hyperbolic tilings