h-net: hqc205


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,4,2)
Vertex degrees{4,8}
2D vertex symbol {4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 12, 40, 132, 428, 1392, 4532, 14748, 47992), (8, 32, 104, 336, 1096, 3568, 11608, 37776, 122936)]
Delaney-Dress Symbol <205.2:6:1 2 3 5 6,2 4 6,1 3 4 5 6:4 4,4 8>
Dual net hqc211

Derived s-nets

s-nets with faithful topology

15 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 sqc5026 I4/mmm 139 tetragonal {4,8} 10 (2,4)
Full image sqc5027 Fmmm 69 orthorhombic {8,4} 10 (2,6)
Full image sqc10702 P4/mmm 123 tetragonal {8,4} 20 (2,6)
Full image sqc10703 I4122 98 tetragonal {8,4,4} 20 (3,7)
Full image sqc10726 I41/acd 142 tetragonal {8,4} 20 (2,4)
Full image sqc10781 Fddd 70 orthorhombic {8,4,4} 20 (3,7)
Full image sqc10843 I41/acd 142 tetragonal {8,4} 20 (2,4)
Full image sqc10879 I4122 98 tetragonal {8,4,4} 20 (3,7)
Full image sqc10901 Fddd 70 orthorhombic {8,4,4} 20 (3,7)
Full image sqc4741 P4222 93 tetragonal {8,4} 10 (2,6)
Full image sqc4839 P4222 93 tetragonal {4,8} 10 (2,6)
Full image sqc4841 Cmma 67 orthorhombic {4,8} 10 (2,6)
Full image sqc4964 P42/nnm 134 tetragonal {4,8} 10 (2,4)
Full image sqc5028 Cmma 67 orthorhombic {4,8} 10 (2,6)
Full image sqc5254 P42/nnm 134 tetragonal {4,8} 10 (2,4)

s-nets with edge collapse


Derived U-tilings

6 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC192 *2224 (2,4,2) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc645 Snet sqc10843 Snet sqc5254
Tiling details UQC193 *2224 (2,4,2) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc5026 Snet sqc10726 Snet sqc4964
Tiling details UQC2294 *22222a (2,6,4) {8,4} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc10702 Snet sqc10703 Snet sqc4741
Tiling details UQC2295 *22222b (2,6,4) {8,4} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc5027 Snet sqc10901 Snet sqc5028
Tiling details UQC2296 *22222a (2,6,4) {8,4} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc10688 Snet sqc10879 Snet sqc4839
Tiling details UQC2297 *22222b (2,6,4) {8,4} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc4725 Snet sqc10781 Snet sqc4841

Symmetry-lowered hyperbolic tilings