h-net: hqc1813


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,3,4,8}
2D vertex symbol {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(8, 16, 48, 96, 248, 516, 1292, 2760, 6736, 14716), (3, 16, 25, 88, 153, 444, 841, 2272, 4559, 11738), (4, 24, 36, 120, 200, 608, 1116, 3100, 6088, 15956), (8, 12, 56, 80, 280, 460, 1400, 2552, 7136, 13948)]
Delaney-Dress Symbol <1813.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,8 3 4 8>
Dual net hqc1646

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 sqc10420 I4/mmm 139 tetragonal {3,4,8,8} 18 (4,5)
Full image sqc10468 I4/mmm 139 tetragonal {3,4,8,8} 18 (4,5)
Full image sqc13226 I41/acd 142 tetragonal {8,3,4,8} 36 (4,6)
Full image sqc13240 I41/acd 142 tetragonal {8,3,4,8} 36 (4,6)
Full image sqc10440 P42/nnm 134 tetragonal {3,8,4,8} 18 (4,5)
Full image sqc10459 P42/nnm 134 tetragonal {4,3,8,8} 18 (4,5)

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 UQC4947 *2224 (4,5,2) {8,3,4,8} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc10420 Snet sqc13226 Snet sqc10440
Tiling details UQC4948 *2224 (4,5,2) {8,3,4,8} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc10468 Snet sqc13240 Snet sqc10459

Symmetry-lowered hyperbolic tilings