h-net: hqc1690


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{6,5}
2D vertex symbol {4.3.4.4.3.4}{3.4.4.4.4}
Delaney-Dress Symbol <1690.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,1 3 6 7 8 10 11:4 3 4 4,6 5>
Dual net hqc1777

Derived s-nets

s-nets with faithful topology

24 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 sqc4273 Fmmm 69 orthorhombic {6,5} 8 (2,6)
Full image sqc4275 Fmmm 69 orthorhombic {5,6} 8 (2,6)
Full image sqc4413 Fmmm 69 orthorhombic {5,6} 8 (2,6)
Full image sqc10520 P4/mmm 123 tetragonal {5,6} 16 (2,6)
Full image sqc10133 I4122 98 tetragonal {5,6} 16 (2,7)
Full image sqc10157 I4122 98 tetragonal {5,6} 16 (2,7)
Full image sqc10280 Fddd 70 orthorhombic {5,6} 16 (2,7)
Full image sqc10281 Fddd 70 orthorhombic {5,6} 16 (2,7)
Full image sqc10282 I4122 98 tetragonal {5,6} 16 (2,7)
Full image sqc10283 Fddd 70 orthorhombic {5,6} 16 (2,7)
Full image sqc10287 I4122 98 tetragonal {5,6} 16 (2,7)
Full image sqc10421 Fddd 70 orthorhombic {5,6} 16 (2,7)
Full image sqc10422 Fddd 70 orthorhombic {5,6} 16 (2,7)
Full image sqc10519 I4122 98 tetragonal {5,6} 16 (2,7)
Full image sqc4163 P4222 93 tetragonal {6,5} 8 (2,6)
Full image sqc4276 Cmma 67 orthorhombic {6,5} 8 (2,6)
Full image sqc4305 P4222 93 tetragonal {5,6} 8 (2,6)
Full image sqc4312 P4222 93 tetragonal {5,6} 8 (2,6)
Full image sqc4313 Cmma 67 orthorhombic {5,6} 8 (2,6)
Full image sqc4318 Cmma 67 orthorhombic {6,5} 8 (2,6)
Full image sqc4319 P4222 93 tetragonal {6,5} 8 (2,6)
Full image sqc4412 Cmma 67 orthorhombic {5,6} 8 (2,6)
Full image sqc4414 Cmma 67 orthorhombic {5,6} 8 (2,6)
Full image sqc4578 P4222 93 tetragonal {5,6} 8 (2,6)

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 UQC2101 *22222a (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc9368 Snet sqc10133 Snet sqc4305
Tiling details UQC2102 *22222a (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc9674 Snet sqc10157 Snet sqc4163
Tiling details UQC2103 *22222b (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc4275 Snet sqc10422 Snet sqc4412
Tiling details UQC2104 *22222b (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc4273 Snet sqc10281 Snet sqc4414
Tiling details UQC2105 *22222a (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc9665 Snet sqc10287 Snet sqc4319
Tiling details UQC2106 *22222b (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc4413 Snet sqc10421 Snet sqc4276
Tiling details UQC2107 *22222b (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc3735 Snet sqc10283 Snet sqc4318
Tiling details UQC2108 *22222b (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc3590 Snet sqc10280 Snet sqc4313
Tiling details UQC2109 *22222a (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc10520 Snet sqc10519 Snet sqc4578
Tiling details UQC2110 *22222a (2,6,4) {6,5} {4.3.4.4.3.4}{3.4.4.4.4} Snet sqc9797 Snet sqc10282 Snet sqc4312

Symmetry-lowered hyperbolic tilings