h-net: hqc99


Topological data

Orbifold symbol*248
Transitivity (vertex, edge, ring)(3,2,1)
Vertex degrees{4,4,8}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 28, 48, 164, 280, 956, 1632, 5572, 9512), (4, 16, 28, 96, 164, 560, 956, 3264, 5572, 19024), (8, 16, 56, 96, 328, 560, 1912, 3264, 11144, 19024)]
Delaney-Dress Symbol <99.1:4:2 4,1 3 4,1 2 3 4:4,4 4 8>
Dual net hqc56

Derived s-nets

s-nets with faithful topology

15 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 sqc7583 Fmmm 69 orthorhombic {4,8,4,4,4,4} 14 (6,7)
Full image sqc7930 I4/mmm 139 tetragonal {8,4,4,4} 14 (4,4)
Full image sqc7931 Fmmm 69 orthorhombic {4,4,4,4,8,4} 14 (6,7)
Full image sqc12339 P4/mmm 123 tetragonal {4,4,4,8,4,4} 28 (6,7)
Full image sqc12341 P4/mmm 123 tetragonal {4,4,4,8,4,4} 28 (6,7)
Full image sqc12338 I4122 98 tetragonal {4,4,4,8,4,4} 28 (6,8)
Full image sqc12340 I4122 98 tetragonal {4,4,4,8,4,4} 28 (6,8)
Full image sqc12393 Fddd 70 orthorhombic {4,4,4,8,4,4} 28 (6,8)
Full image sqc12396 Fddd 70 orthorhombic {4,4,4,8,4,4} 28 (6,8)
Full image sqc12397 I41/acd 142 tetragonal {4,4,4,8} 28 (4,4)
Full image sqc7816 P4222 93 tetragonal {4,4,4,4,8,4} 14 (6,7)
Full image sqc7868 P42/nnm 134 tetragonal {4,4,8,4} 14 (4,4)
Full image sqc7872 P4222 93 tetragonal {4,4,8,4,4,4} 14 (6,7)
Full image sqc7909 Cmma 67 orthorhombic {4,4,4,4,4,8} 14 (6,7)
Full image sqc7932 Cmma 67 orthorhombic {4,4,8,4,4,4} 14 (6,7)

s-nets with edge collapse

No items to display.

Derived U-tilings

5 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC86 *2224 (4,4,1) {4,4,4,8} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc7930 Snet sqc12397 Snet sqc7868
Tiling details UQC6048 *22222a (6,7,2) {4,4,4,8,4,4} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc12339 Snet sqc12338 Snet sqc7816
Tiling details UQC6049 *22222b (6,7,2) {4,4,4,8,4,4} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc7931 Snet sqc12393 Snet sqc7932
Tiling details UQC6050 *22222b (6,7,2) {4,4,4,8,4,4} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc7583 Snet sqc12396 Snet sqc7909
Tiling details UQC6051 *22222a (6,7,2) {4,4,4,8,4,4} {4.4.4.4}{4.4.4.4}{4.4.4.4}{4.4.... Snet sqc12341 Snet sqc12340 Snet sqc7872

Symmetry-lowered hyperbolic tilings