h-net: hqc211


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,4,2)
Vertex degrees{4,4}
2D vertex symbol {8.4.4.8}{4.4.4.4}
Vertex coordination sequence [(4, 8, 16, 36, 76, 156, 324, 676, 1408, 2928), (4, 10, 22, 46, 96, 200, 416, 866, 1802, 3750)]
Delaney-Dress Symbol <211.2:6:1 2 3 5 6,2 4 6,1 3 4 5 6:8 4,4 4>
Dual net hqc205

Derived s-nets

s-nets with faithful topology

18 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 sqc5270 I4/mmm 139 tetragonal {4,4} 12 (2,4)
Full image sqc5520 Fmmm 69 orthorhombic {4,4,4,4} 12 (4,6)
Full image sqc5521 Fmmm 69 orthorhombic {4,4,4,4} 12 (4,6)
Full image sqc5570 I4/mmm 139 tetragonal {4,4} 12 (2,4)
Full image sqc11157 P4/mmm 123 tetragonal {4,4,4,4} 24 (4,6)
Full image sqc11159 P4/mmm 123 tetragonal {4,4,4,4} 24 (4,6)
Full image sqc10844 I41/acd 142 tetragonal {4,4} 24 (2,4)
Full image sqc11156 I4122 98 tetragonal {4,4,4,4} 24 (4,7)
Full image sqc11170 I4122 98 tetragonal {4,4,4,4} 24 (4,7)
Full image sqc11186 Fddd 70 orthorhombic {4,4,4,4} 24 (4,7)
Full image sqc11188 I41/acd 142 tetragonal {4,4} 24 (2,4)
Full image sqc11209 Fddd 70 orthorhombic {4,4,4,4} 24 (4,7)
Full image sqc851 cdm P42/mmc 131 tetragonal {4,4} 6 (2,4)
Full image sqc5338 P4222 93 tetragonal {4,4,4,4} 12 (4,6)
Full image sqc5342 P42/nnm 134 tetragonal {4,4} 12 (2,4)
Full image sqc5519 Cmma 67 orthorhombic {4,4,4,4} 12 (4,6)
Full image sqc5542 P4222 93 tetragonal {4,4,4,4} 12 (4,6)
Full image sqc5583 Cmma 67 orthorhombic {4,4,4,4} 12 (4,6)

s-nets with edge collapse

No items to display.

Derived U-tilings

6 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC220 *2224 (2,4,2) {4,4} {8.4.4.8}{4.4.4.4} Snet sqc5270 Snet sqc10844 Snet sqc851
Tiling details UQC221 *2224 (2,4,2) {4,4} {8.4.4.8}{4.4.4.4} Snet sqc5570 Snet sqc11188 Snet sqc5342
Tiling details UQC5197 *22222a (4,6,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{4.4.4.4}{4.4.... Snet sqc11157 Snet sqc11156 Snet sqc5338
Tiling details UQC5198 *22222b (4,6,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{4.4.4.4}{4.4.... Snet sqc5521 Snet sqc11209 Snet sqc5583
Tiling details UQC5199 *22222a (4,6,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{4.4.4.4}{4.4.... Snet sqc11159 Snet sqc11170 Snet sqc5542
Tiling details UQC5200 *22222b (4,6,2) {4,4,4,4} {8.4.4.8}{8.8.4.4}{4.4.4.4}{4.4.... Snet sqc5520 Snet sqc11186 Snet sqc5519

Symmetry-lowered hyperbolic tilings