h-net: hqc1200


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{8,3,8}
2D vertex symbol {12.3.3.12.12.3.3.12}{12.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol <1200.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:12 3,8 3 8>
Dual net hqc1019

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 sqc2423 P4/mmm 123 tetragonal {8,3,8} 7 (3,4)
Full image sqc8432 I41/a 88 tetragonal {8,3,8} 14 (3,5)
Full image sqc8651 I-42d 122 tetragonal {8,3,8} 14 (3,5)
Full image sqc8434 I41/amd 141 tetragonal {8,3,8} 14 (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 UQC4110 *2244b (3,4,2) {8,3,8} {12.3.3.12.12.3.3.12}{12.3.3}{3.... Snet sqc2423 Snet sqc8432 Snet sqc8434
Tiling details UQC4111 *2244a (3,4,2) {8,3,8} {12.3.3.12.12.3.3.12}{12.3.3}{3.... Snet sqc8335 Snet sqc8651 Snet sqc2423

Symmetry-lowered hyperbolic tilings