h-net: hqc828


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{8,3,3}
2D vertex symbol {6.6.6.6.6.6.6.6}{6.4.6}{6.6.4}
Vertex coordination sequence [(8, 36, 120, 368, 1128, 3484, 10776, 33312, 102952), (3, 10, 37, 124, 397, 1234, 3811, 11776, 36397, 112494), (3, 5, 16, 67, 231, 725, 2234, 6896, 21318, 65898)]
Delaney-Dress Symbol <828.2:8:1 3 5 7 8,2 4 8 6 7,1 2 3 6 7 8:6 4,8 3 3>
Dual net hqc648

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 sqc7558 I4/mmm 139 tetragonal {3,3,8} 18 (3,4)
Full image sqc12308 I41/acd 142 tetragonal {8,3,3} 36 (3,5)
Full image sqc12309 I41/acd 142 tetragonal {8,3,3} 36 (3,5)
Full image sqc7419 P42/nnm 134 tetragonal {3,3,8} 18 (3,4)
Full image sqc7521 P42/nnm 134 tetragonal {3,3,8} 18 (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 UQC3779 *2224 (3,4,2) {8,3,3} {6.6.6.6.6.6.6.6}{6.4.6}{6.6.4} Snet sqc1509 Snet sqc12309 Snet sqc7419
Tiling details UQC3780 *2224 (3,4,2) {8,3,3} {6.6.6.6.6.6.6.6}{6.4.6}{6.6.4} Snet sqc7558 Snet sqc12308 Snet sqc7521

Symmetry-lowered hyperbolic tilings