h-net: hqc1902


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,4,4,4}
2D vertex symbol {5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3.3}{5.5.5.5}
Vertex coordination sequence [(8, 20, 40, 92, 208, 460, 996, 2200, 4852, 10684), (4, 14, 38, 78, 170, 372, 834, 1824, 4014, 8830), (4, 12, 36, 68, 156, 344, 760, 1668, 3668, 8088), (4, 12, 36, 80, 156, 356, 796, 1760, 3828, 8444)]
Delaney-Dress Symbol <1902.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,8 4 4 4>
Dual net hqc1749

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 sqc10271 I4/mmm 139 tetragonal {4,4,8,4} 18 (4,5)
Full image sqc10483 I4/mmm 139 tetragonal {4,4,8,4} 18 (4,5)
Full image sqc13214 I41/acd 142 tetragonal {8,4,4,4} 36 (4,6)
Full image sqc13237 I41/acd 142 tetragonal {8,4,4,4} 36 (4,6)
Full image sqc10453 P42/nnm 134 tetragonal {4,8,4,4} 18 (4,5)
Full image sqc10455 P42/nnm 134 tetragonal {4,4,8,4} 18 (4,5)

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 UQC5109 *2224 (4,5,2) {8,4,4,4} {5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3... Snet sqc10271 Snet sqc13214 Snet sqc10453
Tiling details UQC5110 *2224 (4,5,2) {8,4,4,4} {5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3... Snet sqc10483 Snet sqc13237 Snet sqc10455

Symmetry-lowered hyperbolic tilings