h-net: hqc51


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,2,1)
Vertex degrees{4,3}
2D vertex symbol {6.6.6.6}{6.6.6}
Vertex coordination sequence [(4, 10, 22, 48, 104, 224, 482, 1038, 2236, 4816), (3, 9, 21, 45, 96, 207, 447, 963, 2073, 4464)]
Delaney-Dress Symbol <51.1:3:1 3,2 3,1 2 3:6,4 3>
Dual net hqc32

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 sqc2873 Fmmm 69 orthorhombic {3,4,4} 10 (3,5)
Full image sqc3026 Fmmm 69 orthorhombic {3,4,4} 10 (3,5)
Full image sqc3028 Fmmm 69 orthorhombic {4,4,3} 10 (3,5)
Full image sqc3041 Fmmm 69 orthorhombic {3,4,4} 10 (3,5)
Full image sqc9150 P4/mmm 123 tetragonal {4,3,4} 20 (3,5)
Full image sqc9220 P4/mmm 123 tetragonal {4,3,4} 20 (3,5)
Full image sqc9223 tfg Pm-3m 221 cubic {4,3} 20 (2,2)
Full image sqc8796 I4122 98 tetragonal {4,3,4} 20 (3,6)
Full image sqc8829 I4122 98 tetragonal {4,3,4} 20 (3,6)
Full image sqc8830 Fddd 70 orthorhombic {4,3,4} 20 (3,6)
Full image sqc8831 Fddd 70 orthorhombic {4,3,4} 20 (3,6)
Full image sqc8832 Fddd 70 orthorhombic {4,3,4} 20 (3,6)
Full image sqc9157 I4122 98 tetragonal {4,3,4} 20 (3,6)
Full image sqc9195 I4122 98 tetragonal {4,3,4} 20 (3,6)
Full image sqc9196 I4132 214 cubic {4,3} 20 (2,2)
Full image sqc9226 Fddd 70 orthorhombic {4,3,4} 20 (3,6)
Full image sqc9227 Fddd 70 orthorhombic {4,3,4} 20 (3,6)
Full image sqc2503 P4222 93 tetragonal {4,4,3} 10 (3,5)
Full image sqc2517 P4222 93 tetragonal {3,4,4} 10 (3,5)
Full image sqc2518 P4222 93 tetragonal {4,3,4} 10 (3,5)
Full image sqc2874 Cmma 67 orthorhombic {4,3,4} 10 (3,5)
Full image sqc2946 P4222 93 tetragonal {4,4,3} 10 (3,5)
Full image sqc2947 Cmma 67 orthorhombic {3,4,4} 10 (3,5)
Full image sqc2948 srd P4232 208 cubic {4,3} 10 (2,2)
Full image sqc2949 Cmma 67 orthorhombic {4,3,4} 10 (3,5)
Full image sqc3027 Cmma 67 orthorhombic {4,3,4} 10 (3,5)
Full image sqc3044 Cmma 67 orthorhombic {4,4,3} 10 (3,5)

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 UQC54 *2223 (2,2,1) {4,3} {6.6.6.6}{6.6.6} Snet sqc9223 Snet sqc9196 Snet sqc2948
Tiling details UQC3897 *22222a (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc9150 Snet sqc9157 Snet sqc2517
Tiling details UQC3898 *22222b (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc2290 Snet sqc8832 Snet sqc3044
Tiling details UQC3899 *22222b (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc2873 Snet sqc8831 Snet sqc3027
Tiling details UQC3900 *22222b (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc3028 Snet sqc9226 Snet sqc2949
Tiling details UQC3901 *22222b (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc3026 Snet sqc8830 Snet sqc2874
Tiling details UQC3902 *22222b (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc3041 Snet sqc9227 Snet sqc2947
Tiling details UQC3903 *22222a (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc9220 Snet sqc9195 Snet sqc2946
Tiling details UQC3904 *22222a (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc8321 Snet sqc8796 Snet sqc2503
Tiling details UQC3905 *22222a (3,5,2) {4,3,4} {6.6.6.6}{6.6.6}{6.6.6.6} Snet sqc8331 Snet sqc8829 Snet sqc2518

Symmetry-lowered hyperbolic tilings