h-net: hqc882


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{6,12,8}
2D vertex symbol {4.3.3.4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol <882.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:4 3,6 12 8>
Dual net hqc661

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 sqc7586 P42/mmc 131 tetragonal {6,12,8} 8 (3,3)
Full image sqc7489 I-42d 122 tetragonal {6,12,8} 8 (3,4)
Full image sqc7630 I41/a 88 tetragonal {6,12,8} 8 (3,4)
Full image sqc1845 P-42m 111 tetragonal {12,6,8} 4 (3,3)
Full image sqc7585 I41/amd 141 tetragonal {6,12,8} 8 (3,3)

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 UQC3832 *2244b (3,3,2) {6,12,8} {4.3.3.4.3.3}{4.3.3.4.3.3.4.3.3.... Snet sqc1288 Snet sqc7630 Snet sqc7585
Tiling details UQC3833 *2244a (3,3,2) {6,12,8} {4.3.3.4.3.3}{4.3.3.4.3.3.4.3.3.... Snet sqc7586 Snet sqc7489 Snet sqc1845

Symmetry-lowered hyperbolic tilings