h-net: hqc2437


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(6,7,2)
Vertex degrees{4,4,4,4,4,8}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 20, 32, 76, 120, 284, 448, 1060, 1672), (4, 12, 20, 48, 76, 180, 284, 672, 1060, 2508), (4, 8, 12, 32, 52, 120, 188, 448, 708, 1672), (4, 16, 28, 64, 100, 240, 380, 896, 1412, 3344), (8, 16, 40, 64, 152, 240, 568, 896, 2120, 3344)]
Delaney-Dress Symbol <2437.2:16:2 4 6 8 10 12 14 16,3 8 5 7 11 16 13 15,1 2 3 4 5 6 9 10 11 12 13 14 15 16:4 4,4 4 4 4 4 8>
Dual net hqc2425

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 sqc12389 I4/mmm 139 tetragonal {4,4,4,4,4,8} 30 (6,7)
Full image sqc12390 I4/mmm 139 tetragonal {4,4,4,4,8,4} 30 (6,7)
Full image sqc14028 I41/acd 142 tetragonal {4,4,4,4,4,8} 60 (6,8)
Full image sqc14029 I41/acd 142 tetragonal {4,4,4,4,4,8} 60 (6,8)
Full image sqc12361 P42/nnm 134 tetragonal {4,4,8,4,4,4} 30 (6,7)
Full image sqc12394 P42/nnm 134 tetragonal {4,4,4,4,4,8} 30 (6,7)

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 UQC6046 *2224 (6,7,2) {4,4,4,4,4,8} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc12389 Snet sqc14028 Snet sqc12394
Tiling details UQC6047 *2224 (6,7,2) {4,4,4,4,4,8} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc12390 Snet sqc14029 Snet sqc12361

Symmetry-lowered hyperbolic tilings