h-net: hqc1177


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{16,6,8}
2D vertex symbol {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3}{3.3.3.3.3.3.3.3}
Delaney-Dress Symbol <1177.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,16 6 8>
Dual net hqc1023

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 sqc8498 I-42d 122 tetragonal {16,6,8} 8 (3,5)
Full image sqc8641 I41/a 88 tetragonal {16,6,8} 8 (3,5)
Full image sqc2570 P-42m 111 tetragonal {16,6,8} 4 (3,4)
Full image sqc8525 I41/amd 141 tetragonal {16,6,8} 8 (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 UQC4067 *2244b (3,4,2) {16,6,8} {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... Snet sqc1640 Snet sqc8641 Snet sqc8525
Tiling details UQC4068 *2244a (3,4,2) {16,6,8} {3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... Snet sqc8292 Snet sqc8498 Snet sqc2570

Symmetry-lowered hyperbolic tilings