h-net: hqc761


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,3,4}
2D vertex symbol {3.10.10.3}{3.10.10}{10.10.10.10}
Vertex coordination sequence [(4, 6, 12, 24, 40, 70, 108, 204, 340, 594), (3, 6, 13, 18, 43, 56, 119, 184, 317, 568), (4, 8, 12, 28, 32, 80, 116, 220, 348, 580)]
Delaney-Dress Symbol <761.2:8:1 3 5 6 8,2 3 6 7 8,1 4 5 6 7 8:3 10,4 3 4>
Dual net hqc709

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 sqc2036 P4/mmm 123 tetragonal {4,3,4} 9 (3,4)
Full image sqc8054 I4/mmm 139 tetragonal {4,4,3} 18 (3,4)
Full image sqc12442 I41/acd 142 tetragonal {4,3,4} 36 (3,5)
Full image sqc12470 I41/acd 142 tetragonal {4,3,4} 36 (3,5)
Full image sqc2198 I4/mmm 139 tetragonal {3,4,4} 9 (3,4)
Full image sqc8165 P42/nnm 134 tetragonal {3,4,4} 18 (3,4)

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 UQC3562 *2224 (3,4,2) {4,3,4} {3.10.10.3}{3.10.10}{10.10.10.10} Snet sqc2036 Snet sqc12470 Snet sqc8165
Tiling details UQC3563 *2224 (3,4,2) {4,3,4} {3.10.10.3}{3.10.10}{10.10.10.10} Snet sqc8054 Snet sqc12442 Snet sqc2198

Symmetry-lowered hyperbolic tilings