h-net: hqc1872


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,4,3,8}
2D vertex symbol {10.10.10.10.10.10.10.10}{10.3.3.10}{10.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol <1872.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:10 3,8 4 3 8>
Dual net hqc1722

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 sqc10186 I41/amd 141 tetragonal {8,4,3,8} 20 (4,5)
Full image sqc4041 P-42m 111 tetragonal {8,4,8,3} 10 (4,5)
Full image sqc10187 I41/amd 141 tetragonal {8,4,3,8} 20 (4,5)

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 UQC5087 *2244b (4,5,2) {8,4,3,8} {10.10.10.10.10.10.10.10}{10.3.3... No s‑net Snet sqc10186 Snet sqc10187
Tiling details UQC5088 *2244a (4,5,2) {8,4,3,8} {10.10.10.10.10.10.10.10}{10.3.3... Snet sqc3928 Snet sqc10186 Snet sqc4041

Symmetry-lowered hyperbolic tilings