h-net: hqc786


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{6,3,8}
2D vertex symbol {3.5.3.3.5.3}{3.5.5}{5.5.5.5.5.5.5.5}
Vertex coordination sequence [(6, 10, 30, 108, 354, 1094, 3450, 10968, 34854, 110458), (3, 14, 41, 136, 435, 1378, 4351, 13808, 43801), (8, 36, 120, 368, 1160, 3692, 11736, 37184, 117864)]
Delaney-Dress Symbol <786.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:3 5,6 3 8>
Dual net hqc634

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 sqc7557 I4/mmm 139 tetragonal {8,6,3} 14 (3,4)
Full image sqc12304 I41/acd 142 tetragonal {6,3,8} 28 (3,5)
Full image sqc12306 I41/acd 142 tetragonal {6,3,8} 28 (3,5)
Full image sqc7417 P42/nnm 134 tetragonal {3,8,6} 14 (3,4)
Full image sqc7520 P42/nnm 134 tetragonal {3,6,8} 14 (3,4)

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 UQC3602 *2224 (3,4,2) {6,3,8} {3.5.3.3.5.3}{3.5.5}{5.5.5.5.5.5... Snet sqc1507 Snet sqc12304 Snet sqc7417
Tiling details UQC3603 *2224 (3,4,2) {6,3,8} {3.5.3.3.5.3}{3.5.5}{5.5.5.5.5.5... Snet sqc7557 Snet sqc12306 Snet sqc7520

Symmetry-lowered hyperbolic tilings