h-net: hqc1816


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,3,8,8}
2D vertex symbol {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Delaney-Dress Symbol <1816.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,8 3 8 8>
Dual net hqc1660

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 sqc10119 I41/a 88 tetragonal {8,3,8,8} 16 (4,6)
Full image sqc10180 I-42d 122 tetragonal {8,3,8,8} 16 (4,6)
Full image sqc4052 P-42m 111 tetragonal {8,3,8,8} 8 (4,5)
Full image sqc10118 I41/amd 141 tetragonal {8,3,8,8} 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 UQC4952 *2244a (4,5,2) {8,3,8,8} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc9948 Snet sqc10180 Snet sqc4052
Tiling details UQC4953 *2244b (4,5,2) {8,3,8,8} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc3363 Snet sqc10119 Snet sqc10118

Symmetry-lowered hyperbolic tilings