h-net: hqc2051


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,3,4,8,8}
2D vertex symbol {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5.5.5.5.5}
Delaney-Dress Symbol <2051.2:12:2 4 6 8 10 12,1 2 5 12 7 9 11,3 4 5 6 7 8 9 10 11 12:4 5,3 3 4 8 8>
Dual net hqc1921

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 sqc10755 P42/mmc 131 tetragonal {3,3,4,8,8} 24 (5,5)
Full image sqc10730 I41/a 88 tetragonal {3,3,4,8,8} 24 (5,6)
Full image sqc10731 I-42d 122 tetragonal {3,3,4,8,8} 24 (5,6)
Full image sqc4967 P-42m 111 tetragonal {8,3,3,4,8} 12 (5,5)
Full image sqc10754 I41/amd 141 tetragonal {3,3,4,8,8} 24 (5,5)

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 UQC5390 *2244a (5,5,2) {3,3,4,8,8} {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5.... Snet sqc10755 Snet sqc10731 Snet sqc4967
Tiling details UQC5391 *2244b (5,5,2) {3,3,4,8,8} {4.5.5}{4.5.5}{5.5.5.5}{5.5.5.5.... Snet sqc4250 Snet sqc10730 Snet sqc10754

Symmetry-lowered hyperbolic tilings