h-net: hqc1576


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,8,12,4}
2D vertex symbol {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3}
Delaney-Dress Symbol <1576.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 8 12 4>
Dual net hqc1370

Derived s-nets

s-nets with faithful topology

6 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 sqc3347 P4/mmm 123 tetragonal {4,12,8,4} 6 (4,4)
Full image sqc9499 P42/mmc 131 tetragonal {4,8,12,4} 12 (4,4)
Full image sqc9492 I41/a 88 tetragonal {4,8,12,4} 12 (4,5)
Full image sqc9648 I-42d 122 tetragonal {4,8,12,4} 12 (4,5)
Full image sqc3349 P4/mmm 123 tetragonal {4,8,12,4} 6 (4,4)
Full image sqc9491 I41/amd 141 tetragonal {4,8,12,4} 12 (4,4)

s-nets with edge collapse

No items to display.

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 UQC4719 *2244a (4,4,2) {4,8,12,4} {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3... Snet sqc9499 Snet sqc9648 Snet sqc3349
Tiling details UQC4720 *2244b (4,4,2) {4,8,12,4} {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3... Snet sqc3347 Snet sqc9492 Snet sqc9491

Symmetry-lowered hyperbolic tilings