h-net: hqc1817


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,6,4,4}
2D vertex symbol {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol <1817.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,8 6 4 4>
Dual net hqc1636

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 sqc4287 Fmmm 69 orthorhombic {6,8,4,4} 8 (4,5)
Full image sqc4288 Fmmm 69 orthorhombic {8,6,4,4} 8 (4,5)
Full image sqc4549 Fmmm 69 orthorhombic {6,4,4,8} 8 (4,5)
Full image sqc4556 Fmmm 69 orthorhombic {4,4,8,6} 8 (4,5)
Full image sqc10129 P4/mmm 123 tetragonal {8,6,4,4} 16 (4,5)
Full image sqc10254 P4/mmm 123 tetragonal {8,6,4,4} 16 (4,5)
Full image sqc10338 P4/mmm 123 tetragonal {8,6,4,4} 16 (4,5)
Full image sqc10128 I4122 98 tetragonal {8,6,4,4} 16 (4,6)
Full image sqc10253 I4122 98 tetragonal {8,6,4,4} 16 (4,6)
Full image sqc10336 I4122 98 tetragonal {8,6,4,4} 16 (4,6)
Full image sqc10341 I4122 98 tetragonal {8,6,4,4} 16 (4,6)
Full image sqc10344 I4122 98 tetragonal {8,6,4,4} 16 (4,6)
Full image sqc10405 Fddd 70 orthorhombic {8,6,4,4} 16 (4,6)
Full image sqc10417 Fddd 70 orthorhombic {8,6,4,4} 16 (4,6)
Full image sqc10418 Fddd 70 orthorhombic {8,6,4,4} 16 (4,6)
Full image sqc10419 Fddd 70 orthorhombic {8,6,4,4} 16 (4,6)
Full image sqc10456 Fddd 70 orthorhombic {8,6,4,4} 16 (4,6)
Full image sqc4046 P4222 93 tetragonal {4,4,6,8} 8 (4,5)
Full image sqc4049 P4222 93 tetragonal {4,8,4,6} 8 (4,5)
Full image sqc4053 Cmma 67 orthorhombic {8,4,4,6} 8 (4,5)
Full image sqc4251 P4222 93 tetragonal {4,6,8,4} 8 (4,5)
Full image sqc4256 Cmma 67 orthorhombic {4,4,6,8} 8 (4,5)
Full image sqc4257 Cmma 67 orthorhombic {4,4,8,6} 8 (4,5)
Full image sqc4286 Cmma 67 orthorhombic {4,8,6,4} 8 (4,5)
Full image sqc4338 P4222 93 tetragonal {6,8,4,4} 8 (4,5)
Full image sqc4341 P4222 93 tetragonal {4,6,8,4} 8 (4,5)
Full image sqc4384 Cmma 67 orthorhombic {8,4,4,6} 8 (4,5)

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 UQC4954 *22222a (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc10129 Snet sqc10128 Snet sqc4338
Tiling details UQC4955 *22222b (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc4556 Snet sqc10419 Snet sqc4286
Tiling details UQC4956 *22222a (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc10338 Snet sqc10336 Snet sqc4341
Tiling details UQC4957 *22222b (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc4288 Snet sqc10417 Snet sqc4256
Tiling details UQC4958 *22222b (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc3941 Snet sqc10418 Snet sqc4053
Tiling details UQC4959 *22222b (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc4287 Snet sqc10456 Snet sqc4384
Tiling details UQC4960 *22222b (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc4549 Snet sqc10405 Snet sqc4257
Tiling details UQC4961 *22222a (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc10254 Snet sqc10253 Snet sqc4251
Tiling details UQC4962 *22222a (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc9955 Snet sqc10341 Snet sqc4049
Tiling details UQC4963 *22222a (4,5,2) {8,6,4,4} {3.4.4.3.3.4.4.3}{3.4.4.3.4.4}{4... Snet sqc9951 Snet sqc10344 Snet sqc4046

Symmetry-lowered hyperbolic tilings