h-net: hqc1070


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{12,3}
2D vertex symbol {3.3.4.3.4.3.3.3.4.3.4.3}{3.4.4}
Vertex coordination sequence [(3, 19, 111, 573, 2977, 15418, 79843), (12, 70, 366, 1896, 9818, 50850)]
Delaney-Dress Symbol <1070.2:9:1 2 4 6 7 8 9,1 3 4 7 9 8,2 5 6 8 9:3 3 4 3,12 3>
Dual net hqc1164

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 sqc11600 P4232 208 cubic {3,12} 18 (2,4)
Full image sqc11607 I213 199 cubic {3,12} 18 (2,5)
Full image sqc11597 Fm-3m 225 cubic {3,12} 18 (2,4)

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 UQC1561 *2323 (2,4,4) {12,3} {3.3.4.3.4.3.3.3.4.3.4.3}{3.4.4} Snet sqc11600 Snet sqc11607 Snet sqc11597

Symmetry-lowered hyperbolic tilings