h-net: hqc1858


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,4,6,8}
2D vertex symbol {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3.5.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol <1858.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,8 4 6 8>
Dual net hqc1727

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 sqc10227 P4/nmm 129 tetragonal {8,4,6,8} 16 (4,5)
Full image sqc10183 I-42d 122 tetragonal {8,4,6,8} 16 (4,6)
Full image sqc10184 I41/a 88 tetragonal {8,4,6,8} 16 (4,6)
Full image sqc4040 P-42m 111 tetragonal {6,4,8,8} 8 (4,5)
Full image sqc10185 I41/amd 141 tetragonal {8,4,6,8} 16 (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 UQC5045 *2244a (4,5,2) {8,4,6,8} {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3... Snet sqc9975 Snet sqc10183 Snet sqc4040
Tiling details UQC5046 *2244b (4,5,2) {8,4,6,8} {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3... Snet sqc10227 Snet sqc10184 Snet sqc10185

Symmetry-lowered hyperbolic tilings