h-net: hqc107


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(1,3,3)
Vertex degrees{5}
2D vertex symbol {3.4.4.4.4}
Vertex coordination sequence [(5, 14, 33, 76, 175, 402, 923, 2120, 4869, 11182)]
Delaney-Dress Symbol <107.1:5:1 2 3 4 5,1 3 5,2 4 5:3 4 4,5>
Dual net hqc172

Derived s-nets

s-nets with faithful topology

27 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 sqc7142 Fmmm 69 orthorhombic {5,5} 12 (2,7)
Full image sqc7143 Fmmm 69 orthorhombic {5,5} 12 (2,7)
Full image sqc7210 P4/mmm 123 tetragonal {5,5} 12 (2,6)
Full image sqc7212 Fmmm 69 orthorhombic {5,5} 12 (2,7)
Full image sqc7213 Fmmm 69 orthorhombic {5,5} 12 (2,7)
Full image sqc12220 mjz P4/mmm 123 tetragonal {5,5} 24 (2,7)
Full image sqc12223 pcu-i Pm-3m 221 cubic {5} 24 (1,3)
Full image sqc12049 I4122 98 tetragonal {5,5,5} 24 (3,8)
Full image sqc12070 I4122 98 tetragonal {5,5,5} 24 (3,8)
Full image sqc12071 I4122 98 tetragonal {5,5,5} 24 (3,8)
Full image sqc12072 Fddd 70 orthorhombic {5,5,5} 24 (3,8)
Full image sqc12073 Fddd 70 orthorhombic {5,5,5} 24 (3,8)
Full image sqc12074 Fddd 70 orthorhombic {5,5,5} 24 (3,8)
Full image sqc12075 Fddd 70 orthorhombic {5,5,5} 24 (3,8)
Full image sqc12107 Fddd 70 orthorhombic {5,5,5} 24 (3,8)
Full image sqc12221 I4132 214 cubic {5} 24 (1,3)
Full image sqc12222 I4122 98 tetragonal {5,5,5} 24 (3,8)
Full image sqc7032 P4222 93 tetragonal {5,5} 12 (2,7)
Full image sqc7088 P4222 93 tetragonal {5,5} 12 (2,7)
Full image sqc7089 P4222 93 tetragonal {5,5} 12 (2,7)
Full image sqc7090 Cmma 67 orthorhombic {5,5} 12 (2,7)
Full image sqc7144 Cmma 67 orthorhombic {5,5} 12 (2,7)
Full image sqc7145 Cmma 67 orthorhombic {5,5} 12 (2,7)
Full image sqc7211 Cmma 67 orthorhombic {5,5} 12 (2,7)
Full image sqc7214 Cmma 67 orthorhombic {5,5} 12 (2,7)
Full image sqc7312 P4232 208 cubic {5} 12 (1,3)
Full image sqc7313 P4222 93 tetragonal {5,5} 12 (2,7)

s-nets with edge collapse


Derived U-tilings

10 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC32 *2223 (1,3,3) {5} {3.4.4.4.4} Snet sqc12223 Snet sqc12221 Snet sqc7312
Tiling details UQC3106 *22222a (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc7210 Snet sqc12049 Snet sqc7032
Tiling details UQC3107 *22222a (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc11849 Snet sqc12070 Snet sqc7088
Tiling details UQC3108 *22222a (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc11852 Snet sqc12071 Snet sqc7089
Tiling details UQC3109 *22222b (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc6817 Snet sqc12075 Snet sqc7090
Tiling details UQC3110 *22222a (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc12220 Snet sqc12222 Snet sqc7313
Tiling details UQC3111 *22222b (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc7212 Snet sqc12073 Snet sqc7144
Tiling details UQC3112 *22222b (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc7143 Snet sqc12107 Snet sqc7214
Tiling details UQC3113 *22222b (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc7213 Snet sqc12072 Snet sqc7145
Tiling details UQC3114 *22222b (2,7,6) {5,5} {4.4.3.4.4}{3.4.4.4.4} Snet sqc7142 Snet sqc12074 Snet sqc7211

Symmetry-lowered hyperbolic tilings