h-net: hqc1782


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(4,6,2)
Vertex degrees{3,4,4,4}
2D vertex symbol {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6}
Delaney-Dress Symbol <1782.2:11:1 3 5 7 8 10 11,2 9 4 6 8 11,1 4 5 6 7 8 9 10 11:6 5,3 4 4 4>
Dual net hqc1738

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 sqc4516 Fmmm 69 orthorhombic {4,4,4,3} 12 (4,6)
Full image sqc4569 Fmmm 69 orthorhombic {3,4,4,4} 12 (4,6)
Full image sqc4570 Fmmm 69 orthorhombic {4,3,4,4} 12 (4,6)
Full image sqc10671 P4/mmm 123 tetragonal {3,4,4,4} 24 (4,6)
Full image sqc10358 I4122 98 tetragonal {3,4,4,4} 24 (4,7)
Full image sqc10370 Fddd 70 orthorhombic {3,4,4,4} 24 (4,7)
Full image sqc10371 Fddd 70 orthorhombic {3,4,4,4} 24 (4,7)
Full image sqc10374 I4122 98 tetragonal {3,4,4,4} 24 (4,7)
Full image sqc10375 I4122 98 tetragonal {3,4,4,4} 24 (4,7)
Full image sqc10379 Fddd 70 orthorhombic {3,4,4,4} 24 (4,7)
Full image sqc10387 I4122 98 tetragonal {3,4,4,4} 24 (4,7)
Full image sqc10390 Fddd 70 orthorhombic {3,4,4,4} 24 (4,7)
Full image sqc10394 Fddd 70 orthorhombic {3,4,4,4} 24 (4,7)
Full image sqc10674 I4122 98 tetragonal {3,4,4,4} 24 (4,7)
Full image sqc4173 P4222 93 tetragonal {3,4,4,4} 12 (4,6)
Full image sqc4176 P4222 93 tetragonal {3,4,4,4} 12 (4,6)
Full image sqc4178 Cmma 67 orthorhombic {3,4,4,4} 12 (4,6)
Full image sqc4185 P4222 93 tetragonal {4,4,3,4} 12 (4,6)
Full image sqc4190 P4222 93 tetragonal {3,4,4,4} 12 (4,6)
Full image sqc4192 Cmma 67 orthorhombic {4,4,4,3} 12 (4,6)
Full image sqc4515 P4222 93 tetragonal {3,4,4,4} 12 (4,6)
Full image sqc4517 Cmma 67 orthorhombic {3,4,4,4} 12 (4,6)
Full image sqc4542 Cmma 67 orthorhombic {3,4,4,4} 12 (4,6)
Full image sqc4571 Cmma 67 orthorhombic {3,4,4,4} 12 (4,6)

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 UQC4875 *22222a (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc9960 Snet sqc10358 Snet sqc4173
Tiling details UQC4876 *22222a (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc10079 Snet sqc10375 Snet sqc4190
Tiling details UQC4877 *22222a (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc10671 Snet sqc10674 Snet sqc4515
Tiling details UQC4878 *22222a (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc10099 Snet sqc10387 Snet sqc4185
Tiling details UQC4879 *22222b (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc4570 Snet sqc10370 Snet sqc4542
Tiling details UQC4880 *22222b (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc4000 Snet sqc10379 Snet sqc4178
Tiling details UQC4881 *22222b (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc4569 Snet sqc10390 Snet sqc4517
Tiling details UQC4882 *22222b (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc4516 Snet sqc10371 Snet sqc4571
Tiling details UQC4883 *22222a (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc10097 Snet sqc10374 Snet sqc4176
Tiling details UQC4884 *22222b (4,6,2) {3,4,4,4} {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} Snet sqc4001 Snet sqc10394 Snet sqc4192

Symmetry-lowered hyperbolic tilings