h-net: hqc2073


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,3,4,12}
2D vertex symbol {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(6, 12, 12, 60, 90, 300, 390, 1416, 1920, 6816), (4, 8, 28, 36, 138, 192, 674, 898, 3214, 4328), (3, 14, 20, 74, 101, 366, 495, 1758, 2358, 8416), (4, 24, 36, 124, 164, 592, 800, 2844, 3816, 13616), (12, 18, 72, 102, 360, 480, 1716, 2310, 8232, 11058)]
Delaney-Dress Symbol <2073.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,6 4 3 4 12>
Dual net hqc1942

Derived s-nets

s-nets with faithful topology

3 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 sqc14180 Pn-3m 224 cubic {6,4,3,4,12} 68 (5,5)
Full image sqc14178 Ia-3 206 cubic {6,4,3,4,12} 68 (5,6)
Full image sqc14176 Fd-3m 227 cubic {6,4,3,4,12} 68 (5,5)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5433 *266 (5,5,2) {6,4,3,4,12} {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4.... Snet sqc14180 Snet sqc14178 Snet sqc14176

Symmetry-lowered hyperbolic tilings