h-net: hqc811


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,3,8}
2D vertex symbol {12.5.12}{12.5.5}{5.5.5.5.5.5.5.5}
Delaney-Dress Symbol <811.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:12 5,3 3 8>
Dual net hqc632

Derived s-nets

s-nets with faithful topology

5 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 sqc7559 P4/nmm 129 tetragonal {3,3,8} 18 (3,4)
Full image sqc7497 I-42d 122 tetragonal {3,3,8} 18 (3,5)
Full image sqc7499 I41/a 88 tetragonal {3,3,8} 18 (3,5)
Full image sqc1638 P-42m 111 tetragonal {3,3,8} 9 (3,4)
Full image sqc7498 I41/amd 141 tetragonal {3,3,8} 18 (3,4)

s-nets with edge collapse


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 UQC3701 *2244a (3,4,2) {3,3,8} {12.5.12}{12.5.5}{5.5.5.5.5.5.5.5} Snet sqc7246 Snet sqc7497 Snet sqc1638
Tiling details UQC3702 *2244b (3,4,2) {3,3,8} {12.5.12}{12.5.5}{5.5.5.5.5.5.5.5} Snet sqc7559 Snet sqc7499 Snet sqc7498

Symmetry-lowered hyperbolic tilings