h-net: hqc1040


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{5,4}
2D vertex symbol {4.4.6.4.4}{4.4.6.6}
Delaney-Dress Symbol <1040.2:9:1 2 3 5 7 8 9,2 4 9 6 8,1 3 6 7 8 9:4 4 6,5 4>
Dual net hqc1122

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 sqc2794 Fmmm 69 orthorhombic {5,4} 8 (2,5)
Full image sqc2797 Fmmm 69 orthorhombic {5,4} 8 (2,5)
Full image sqc2924 Fmmm 69 orthorhombic {5,4} 8 (2,5)
Full image sqc2925 Fmmm 69 orthorhombic {5,4} 8 (2,5)
Full image sqc9090 P4/mmm 123 tetragonal {5,4} 16 (2,5)
Full image sqc9105 P4/mmm 123 tetragonal {5,4} 16 (2,5)
Full image sqc9149 P4/mmm 123 tetragonal {5,4} 16 (2,5)
Full image sqc8461 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc8615 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc8733 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8734 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc8737 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8889 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8890 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8891 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc9098 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc9106 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc2489 P4222 93 tetragonal {5,4} 8 (2,5)
Full image sqc2669 P4222 93 tetragonal {4,5} 8 (2,5)
Full image sqc2685 P4222 93 tetragonal {5,4} 8 (2,5)
Full image sqc2686 Cmma 67 orthorhombic {4,5} 8 (2,5)
Full image sqc2795 Cmma 67 orthorhombic {4,5} 8 (2,5)
Full image sqc2796 Cmma 67 orthorhombic {5,4} 8 (2,5)
Full image sqc2923 Cmma 67 orthorhombic {5,4} 8 (2,5)
Full image sqc2927 Cmma 67 orthorhombic {5,4} 8 (2,5)
Full image sqc2999 P4222 93 tetragonal {4,5} 8 (2,5)
Full image sqc3003 P4222 93 tetragonal {5,4} 8 (2,5)

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 UQC1172 *22222a (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc9149 Snet sqc8461 Snet sqc2489
Tiling details UQC1173 *22222a (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc7751 Snet sqc8615 Snet sqc2669
Tiling details UQC1174 *22222b (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc2188 Snet sqc8737 Snet sqc2686
Tiling details UQC1175 *22222b (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc2924 Snet sqc8733 Snet sqc2795
Tiling details UQC1176 *22222a (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc9105 Snet sqc9106 Snet sqc2999
Tiling details UQC1177 *22222b (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc2925 Snet sqc8891 Snet sqc2796
Tiling details UQC1178 *22222b (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc2794 Snet sqc8889 Snet sqc2923
Tiling details UQC1179 *22222b (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc2797 Snet sqc8890 Snet sqc2927
Tiling details UQC1180 *22222a (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc9090 Snet sqc9098 Snet sqc3003
Tiling details UQC1181 *22222a (2,5,3) {5,4} {4.4.6.4.4}{4.4.6.6} Snet sqc8091 Snet sqc8734 Snet sqc2685

Symmetry-lowered hyperbolic tilings