h-net: hqc267


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{6,6}
2D vertex symbol {3.6.3.3.6.3}{3.6.6.3.6.6}
Delaney-Dress Symbol <267.2:6:1 3 5 6,2 3 4 6,1 4 5 6:3 6,6 6>
Dual net hqc277

Derived s-nets

s-nets with faithful topology

20 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 sqc25 Pmmm 47 orthorhombic {6,6} 2 (2,3)
Full image sqc916 Fmmm 69 orthorhombic {6,6} 4 (2,3)
Full image sqc5132 P4/mmm 123 tetragonal {6,6} 8 (2,3)
Full image sqc4882 I4122 98 tetragonal {6,6} 8 (2,4)
Full image sqc4988 Fddd 70 orthorhombic {6,6} 8 (2,4)
Full image sqc5012 I4122 98 tetragonal {6,6} 8 (2,4)
Full image sqc5089 I4122 98 tetragonal {6,6} 8 (2,4)
Full image sqc5131 I4122 98 tetragonal {6,6} 8 (2,4)
Full image sqc5162 Fddd 70 orthorhombic {6,6} 8 (2,4)
Full image sqc5165 Fddd 70 orthorhombic {6,6} 8 (2,4)
Full image sqc5174 Fddd 70 orthorhombic {6,6} 8 (2,4)
Full image sqc5176 I4122 98 tetragonal {6,6} 8 (2,4)
Full image sqc5361 Fddd 70 orthorhombic {6,6} 8 (2,4)
Full image sqc785 P4222 93 tetragonal {6,6} 4 (2,3)
Full image sqc793 P42/mmc 131 tetragonal {6,6} 4 (2,3)
Full image sqc795 P4222 93 tetragonal {6,6} 4 (2,3)
Full image sqc879 P42/mmc 131 tetragonal {6,6} 4 (2,3)
Full image sqc887 Cmma 67 orthorhombic {6,6} 4 (2,3)
Full image sqc914 Cmma 67 orthorhombic {6,6} 4 (2,3)
Full image sqc950 P42/mcm 132 tetragonal {6,6} 4 (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 UQC233 *22222a (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} Snet sqc4363 Snet sqc5089 Snet sqc795
Tiling details UQC234 *22222a (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} No s‑net Snet sqc4882 Snet sqc785
Tiling details UQC235 *22222a (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} No s‑net Snet sqc5012 Snet sqc879
Tiling details UQC236 *22222a (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} Snet sqc5132 Snet sqc5131 Snet sqc950
Tiling details UQC237 *22222b (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} Snet sqc25 Snet sqc4988 Snet sqc887
Tiling details UQC238 *22222b (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} Snet sqc916 Snet sqc5165 Snet sqc25
Tiling details UQC239 *22222b (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} No s‑net Snet sqc5361 Snet sqc25
Tiling details UQC240 *22222a (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} Snet sqc4607 Snet sqc5176 Snet sqc793
Tiling details UQC241 *22222b (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} Snet sqc694 Snet sqc5162 Snet sqc25
Tiling details UQC242 *22222b (2,3,2) {6,6} {3.6.3.3.6.3}{3.6.6.3.6.6} Snet sqc25 Snet sqc5174 Snet sqc914

Symmetry-lowered hyperbolic tilings