h-net: hqc1632


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{4,6}
2D vertex symbol {4.8.3.4}{3.8.8.3.8.8}
Delaney-Dress Symbol <1632.2:11:1 2 3 4 5 7 9 10 11,2 4 6 7 10 11,3 10 5 8 9 11:4 4 3 8,4 6>
Dual net hqc1829

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 sqc4402 Fmmm 69 orthorhombic {4,6} 10 (2,5)
Full image sqc10524 P4/mmm 123 tetragonal {6,4} 20 (2,5)
Full image sqc10153 I4122 98 tetragonal {6,4,4} 20 (3,6)
Full image sqc10288 I4122 98 tetragonal {6,4,4} 20 (3,6)
Full image sqc10290 Fddd 70 orthorhombic {6,4,4} 20 (3,6)
Full image sqc10291 I4122 98 tetragonal {6,4,4} 20 (3,6)
Full image sqc10292 Fddd 70 orthorhombic {6,4,4} 20 (3,6)
Full image sqc10296 Fddd 70 orthorhombic {6,4,4} 20 (3,6)
Full image sqc10444 Fddd 70 orthorhombic {6,4,4} 20 (3,6)
Full image sqc10448 Fddd 70 orthorhombic {6,4,4} 20 (3,6)
Full image sqc10522 I4122 98 tetragonal {6,4,4} 20 (3,6)
Full image sqc10523 I4122 98 tetragonal {6,4,4} 20 (3,6)
Full image sqc647 Pmmm 47 orthorhombic {4,6} 5 (2,5)
Full image sqc648 Pmmm 47 orthorhombic {4,6} 5 (2,5)
Full image sqc4152 P4222 93 tetragonal {4,6} 10 (2,5)
Full image sqc4153 P4222 93 tetragonal {6,4} 10 (2,5)
Full image sqc4156 P4222 93 tetragonal {4,6} 10 (2,5)
Full image sqc4403 Cmma 67 orthorhombic {4,6} 10 (2,5)
Full image sqc4579 P4222 93 tetragonal {4,6} 10 (2,5)
Full image sqc4581 P42/mmc 131 tetragonal {4,6} 10 (2,5)
Full image sqc4647 Cmma 67 orthorhombic {4,6} 10 (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 UQC1967 *22222a (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} No s‑net Snet sqc10153 Snet sqc4153
Tiling details UQC1968 *22222b (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} Snet sqc3987 Snet sqc10292 Snet sqc647
Tiling details UQC1969 *22222b (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} Snet sqc647 Snet sqc10296 Snet sqc4403
Tiling details UQC1970 *22222b (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} Snet sqc4402 Snet sqc10290 Snet sqc647
Tiling details UQC1971 *22222a (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} Snet sqc10524 Snet sqc10523 Snet sqc4579
Tiling details UQC1972 *22222a (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} No s‑net Snet sqc10522 Snet sqc4581
Tiling details UQC1973 *22222b (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} Snet sqc647 Snet sqc10448 Snet sqc4647
Tiling details UQC1974 *22222b (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} No s‑net Snet sqc10444 Snet sqc648
Tiling details UQC1975 *22222a (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} Snet sqc10055 Snet sqc10288 Snet sqc4156
Tiling details UQC1976 *22222a (2,5,4) {6,4} {4.8.3.4}{3.8.8.3.8.8} Snet sqc10043 Snet sqc10291 Snet sqc4152

Symmetry-lowered hyperbolic tilings