h-net: hqc1126


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{8,4,3}
2D vertex symbol {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4}
Vertex coordination sequence [(8, 40, 136, 432, 1408, 4592, 14936, 48600), (4, 12, 46, 166, 550, 1790, 5830, 18976, 61746), (3, 6, 18, 73, 258, 841, 2737, 8922, 29031, 94461)]
Delaney-Dress Symbol <1126.2:9:1 3 5 7 8 9,2 4 5 8 9,1 2 3 6 7 8 9:5 4,8 4 3>
Dual net hqc1048

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 sqc8569 I4/mmm 139 tetragonal {3,4,8} 18 (3,5)
Full image sqc12583 I41/acd 142 tetragonal {8,4,3} 36 (3,6)
Full image sqc12584 I41/acd 142 tetragonal {8,4,3} 36 (3,6)
Full image sqc8401 P42/nnm 134 tetragonal {4,3,8} 18 (3,5)
Full image sqc8531 P42/nnm 134 tetragonal {3,4,8} 18 (3,5)

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 UQC4010 *2224 (3,5,2) {8,4,3} {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4} Snet sqc8569 Snet sqc12583 Snet sqc8531
Tiling details UQC4011 *2224 (3,5,2) {8,4,3} {5.5.5.5.5.5.5.5}{5.4.4.5}{5.4.4} Snet sqc2242 Snet sqc12584 Snet sqc8401

Symmetry-lowered hyperbolic tilings