h-net: hqc1043


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{5,4}
2D vertex symbol {4.8.3.8.4}{8.8.3.3}
Delaney-Dress Symbol <1043.2:9:1 2 3 5 7 8 9,2 4 9 6 8,1 3 6 7 8 9:4 8 3,5 4>
Dual net hqc1123

Derived s-nets

s-nets with faithful topology

22 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 sqc297 Pmmm 47 orthorhombic {5,4} 4 (2,5)
Full image sqc2786 Fmmm 69 orthorhombic {5,4} 8 (2,5)
Full image sqc9083 P4/mmm 123 tetragonal {5,4} 16 (2,5)
Full image sqc8463 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc8723 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc8728 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc8729 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8730 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8735 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8739 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc8744 Fddd 70 orthorhombic {5,4} 16 (2,6)
Full image sqc9076 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc9084 I4122 98 tetragonal {5,4} 16 (2,6)
Full image sqc322 Pmmm 47 orthorhombic {4,5} 4 (2,5)
Full image sqc2490 P4222 93 tetragonal {5,4} 8 (2,5)
Full image sqc2681 P42/mmc 131 tetragonal {5,4} 8 (2,5)
Full image sqc2682 P4222 93 tetragonal {5,4} 8 (2,5)
Full image sqc2785 Cmma 67 orthorhombic {5,4} 8 (2,5)
Full image sqc2792 Cmma 67 orthorhombic {5,4} 8 (2,5)
Full image sqc3002 P4222 93 tetragonal {5,4} 8 (2,5)
Full image sqc3005 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 UQC1190 *22222a (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} No s‑net Snet sqc8463 Snet sqc2490
Tiling details UQC1191 *22222a (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} Snet sqc8062 Snet sqc8723 Snet sqc2681
Tiling details UQC1192 *22222a (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} No s‑net Snet sqc9076 Snet sqc3002
Tiling details UQC1193 *22222a (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} Snet sqc9083 Snet sqc9084 Snet sqc3005
Tiling details UQC1194 *22222b (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} Snet sqc2174 Snet sqc8739 Snet sqc322
Tiling details UQC1195 *22222b (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} Snet sqc297 Snet sqc8735 Snet sqc2792
Tiling details UQC1196 *22222b (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} Snet sqc2786 Snet sqc8744 Snet sqc297
Tiling details UQC1197 *22222b (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} Snet sqc297 Snet sqc8729 Snet sqc2785
Tiling details UQC1198 *22222b (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} No s‑net Snet sqc8730 Snet sqc297
Tiling details UQC1199 *22222a (2,5,3) {5,4} {4.8.3.8.4}{8.8.3.3} Snet sqc2168 Snet sqc8728 Snet sqc2682

Symmetry-lowered hyperbolic tilings