h-net: hqc831


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{8,3,3}
2D vertex symbol {6.6.6.6.6.6.6.6}{6.8.6}{6.6.8}
Delaney-Dress Symbol <831.2:8:1 3 5 7 8,2 4 8 6 7,1 2 3 6 7 8:6 8,8 3 3>
Dual net hqc649

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 sqc7556 P4/nmm 129 tetragonal {8,3,3} 18 (3,4)
Full image sqc7494 I41/a 88 tetragonal {8,3,3} 18 (3,5)
Full image sqc7495 I-42d 122 tetragonal {8,3,3} 18 (3,5)
Full image sqc1639 P-42m 111 tetragonal {3,3,8} 9 (3,4)
Full image sqc7496 I41/amd 141 tetragonal {8,3,3} 18 (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 UQC3784 *2244b (3,4,2) {8,3,3} {6.6.6.6.6.6.6.6}{6.8.6}{6.6.8} Snet sqc7556 Snet sqc7494 Snet sqc7496
Tiling details UQC3785 *2244a (3,4,2) {8,3,3} {6.6.6.6.6.6.6.6}{6.8.6}{6.6.8} Snet sqc7242 Snet sqc7495 Snet sqc1639

Symmetry-lowered hyperbolic tilings