h-net: hqc291


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{3,6}
2D vertex symbol {8.4.8}{8.8.4.8.8.4}
Delaney-Dress Symbol <291.2:6:1 3 5 6,2 6 4 5,1 4 5 6:8 4,3 6>
Dual net hqc282

Derived s-nets

s-nets with faithful topology

21 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 sqc931 Fmmm 69 orthorhombic {3,6} 6 (2,3)
Full image sqc5139 P4/mmm 123 tetragonal {3,6} 12 (2,3)
Full image sqc4888 I4122 98 tetragonal {3,6} 12 (2,4)
Full image sqc5138 I4122 98 tetragonal {3,6} 12 (2,4)
Full image sqc5175 Fddd 70 orthorhombic {3,6} 12 (2,4)
Full image sqc5177 I4122 98 tetragonal {3,6} 12 (2,4)
Full image sqc5189 I4122 98 tetragonal {3,6} 12 (2,4)
Full image sqc5192 Fddd 70 orthorhombic {3,6} 12 (2,4)
Full image sqc5193 Fddd 70 orthorhombic {3,6} 12 (2,4)
Full image sqc5370 Fddd 70 orthorhombic {3,6} 12 (2,4)
Full image sqc5379 Fddd 70 orthorhombic {3,6} 12 (2,4)
Full image sqc5420 I4122 98 tetragonal {3,6} 12 (2,4)
Full image sqc27 Pmmm 47 orthorhombic {6,3} 3 (2,3)
Full image sqc794 P42/mmc 131 tetragonal {6,3} 6 (2,3)
Full image sqc842 P4222 93 tetragonal {6,3} 6 (2,3)
Full image sqc843 P4222 93 tetragonal {3,6} 6 (2,3)
Full image sqc918 P42/mmc 131 tetragonal {3,6} 6 (2,3)
Full image sqc944 P42/mcm 132 tetragonal {3,6} 6 (2,3)
Full image sqc954 Cmma 67 orthorhombic {3,6} 6 (2,3)
Full image sqc959 Cmma 67 orthorhombic {3,6} 6 (2,3)

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 UQC314 *22222a (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} No s‑net Snet sqc4888 Snet sqc843
Tiling details UQC315 *22222a (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} Snet sqc4624 Snet sqc5189 Snet sqc842
Tiling details UQC316 *22222b (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} Snet sqc931 Snet sqc5193 Snet sqc27
Tiling details UQC317 *22222b (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} Snet sqc707 Snet sqc5192 Snet sqc27
Tiling details UQC318 *22222b (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} No s‑net Snet sqc5379 Snet sqc27
Tiling details UQC319 *22222b (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} Snet sqc27 Snet sqc5175 Snet sqc954
Tiling details UQC320 *22222a (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} Snet sqc708 Snet sqc5177 Snet sqc794
Tiling details UQC321 *22222b (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} Snet sqc27 Snet sqc5370 Snet sqc959
Tiling details UQC322 *22222a (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} No s‑net Snet sqc5420 Snet sqc918
Tiling details UQC323 *22222a (2,3,2) {3,6} {8.4.8}{8.8.4.8.8.4} Snet sqc5139 Snet sqc5138 Snet sqc944

Symmetry-lowered hyperbolic tilings