h-net: hqc1857


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,4,6,4}
2D vertex symbol {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3.5.3.3}{3.3.3.3}
Vertex coordination sequence [(8, 40, 136, 416, 1304, 4160, 13224, 41904), (4, 14, 40, 150, 488, 1552, 4904, 15552, 49358), (6, 6, 30, 116, 398, 1234, 3880, 12358, 39272, 124476), (4, 8, 16, 76, 256, 816, 2564, 8154, 25910, 82154)]
Delaney-Dress Symbol <1857.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,8 4 6 4>
Dual net hqc1709

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 sqc10228 I4/mmm 139 tetragonal {6,4,4,8} 18 (4,5)
Full image sqc13209 I41/acd 142 tetragonal {8,4,6,4} 36 (4,6)
Full image sqc13210 I41/acd 142 tetragonal {8,4,6,4} 36 (4,6)
Full image sqc10117 P42/nnm 134 tetragonal {6,4,8,4} 18 (4,5)
Full image sqc10196 P42/nnm 134 tetragonal {8,6,4,4} 18 (4,5)

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 UQC5043 *2224 (4,5,2) {8,4,6,4} {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3... Snet sqc3926 Snet sqc13209 Snet sqc10117
Tiling details UQC5044 *2224 (4,5,2) {8,4,6,4} {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3... Snet sqc10228 Snet sqc13210 Snet sqc10196

Symmetry-lowered hyperbolic tilings