h-net: hqc2081


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,8,4}
2D vertex symbol {8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol <2081.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:8 4,4 4 3 8 4>
Dual net hqc1947

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 sqc10998 P42/mmc 131 tetragonal {4,4,3,8,4} 24 (5,5)
Full image sqc10999 P4/nmm 129 tetragonal {4,4,3,8,4} 24 (5,5)
Full image sqc11010 I-42d 122 tetragonal {4,4,3,8,4} 24 (5,6)
Full image sqc11011 I41/a 88 tetragonal {4,4,3,8,4} 24 (5,6)
Full image sqc5358 P-42m 111 tetragonal {4,3,4,8,4} 12 (5,5)
Full image sqc11008 I41/amd 141 tetragonal {4,4,3,8,4} 24 (5,5)

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 UQC5444 *2244a (5,5,2) {4,4,3,8,4} {8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4.... Snet sqc10998 Snet sqc11010 Snet sqc5358
Tiling details UQC5445 *2244b (5,5,2) {4,4,3,8,4} {8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4.... Snet sqc10999 Snet sqc11011 Snet sqc11008

Symmetry-lowered hyperbolic tilings