h-net: hqc1227


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,4,4}
2D vertex symbol {5.5.5.5}{5.4.4.5}{5.4.5.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 24, 44, 84, 164, 316, 600, 1148, 2216), (4, 10, 20, 40, 78, 148, 284, 544, 1046, 2000), (4, 10, 20, 40, 76, 146, 280, 540, 1032, 1978), (4, 8, 20, 40, 76, 144, 276, 536, 1020, 1944)]
Delaney-Dress Symbol <1227.2:9:1 3 5 7 9,2 4 5 8 7 9,1 2 3 6 7 8 9:5 4,4 4 4 4>
Dual net hqc1034

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 sqc8896 I4/mmm 139 tetragonal {4,4,4,4} 18 (4,4)
Full image sqc9208 I4/mmm 139 tetragonal {4,4,4,4} 18 (4,4)
Full image sqc12836 I41/acd 142 tetragonal {4,4,4,4} 36 (4,5)
Full image sqc12842 I41/acd 142 tetragonal {4,4,4,4} 36 (4,5)
Full image sqc8801 P42/nnm 134 tetragonal {4,4,4,4} 18 (4,4)
Full image sqc9172 P42/nnm 134 tetragonal {4,4,4,4} 18 (4,4)

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 UQC4353 *2224 (4,4,2) {4,4,4,4} {5.5.5.5}{5.4.4.5}{5.4.5.4}{4.4.... Snet sqc8896 Snet sqc12836 Snet sqc9172
Tiling details UQC4354 *2224 (4,4,2) {4,4,4,4} {5.5.5.5}{5.4.4.5}{5.4.5.4}{4.4.... Snet sqc9208 Snet sqc12842 Snet sqc8801

Symmetry-lowered hyperbolic tilings