h-net: hqc12


Topological data

Orbifold symbol*248
Transitivity (vertex, edge, ring)(1,1,1)
Vertex degrees{4}
2D vertex symbol {8.8.8.8}
Vertex coordination sequence [(4, 12, 36, 104, 300, 868, 2508, 7248, 20948, 60540)]
Delaney-Dress Symbol <12.1:1:1,1,1:8,4>
Dual net hqc6

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 sqc142 Pmmm 47 orthorhombic {4,4,4,4} 4 (4,5)
Full image sqc158 Pmmm 47 orthorhombic {4,4,4} 4 (3,5)
Full image sqc184 crb I4/mmm 139 tetragonal {4} 4 (1,2)
Full image sqc2183 P42/nnm 134 tetragonal {4} 8 (1,3)
Full image sqc2045 Fddd 70 orthorhombic {4,4} 8 (2,3)
Full image sqc2052 I4122 98 tetragonal {4,4} 8 (2,3)
Full image sqc2063 C2/c 15 monoclinic {4,4,4} 8 (3,5)
Full image sqc2066 I4122 98 tetragonal {4,4} 8 (2,3)
Full image sqc2076 Fddd 70 orthorhombic {4,4} 8 (2,3)
Full image sqc2077 I41/acd 142 tetragonal {4} 8 (1,2)
Full image sqc2167 C2/c 15 monoclinic {4,4,4,4} 8 (4,5)
Full image sqc2181 gsi Ia-3 206 cubic {4} 8 (1,2)
Full image sqc5 cds P42/mmc 131 tetragonal {4} 2 (1,2)
Full image sqc145 P42/mmc 131 tetragonal {4,4} 4 (2,3)
Full image sqc157 P4222 93 tetragonal {4,4} 4 (2,3)
Full image sqc187 Cmma 67 orthorhombic {4,4} 4 (2,3)
Full image sqc2165 Imma 74 orthorhombic {4,4,4,4} 8 (4,5)
Full image sqc2178 mon I41/amd 141 tetragonal {4} 8 (1,3)

s-nets with edge collapse


Derived U-tilings

8 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC8 *2224 (1,2,1) {4} {8.8.8.8} Snet sqc184 Snet sqc2077 Snet sqc5
Tiling details UQC63 *22222a (2,3,1) {4,4} {8.8.8.8}{8.8.8.8} Snet sqc1263 Snet sqc2066 Snet sqc157
Tiling details UQC64 *22222b (2,3,1) {4,4} {8.8.8.8}{8.8.8.8} Snet sqc5 Snet sqc2045 Snet sqc187
Tiling details UQC65 *22222a (2,3,1) {4,4} {8.8.8.8}{8.8.8.8} Snet sqc1429 Snet sqc2052 Snet sqc145
Tiling details UQC66 *22222b (2,3,1) {4,4} {8.8.8.8}{8.8.8.8} Snet sqc74 Snet sqc2076 Snet sqc5
Tiling details UQC85 *222222a (4,5,1) {4,4,4,4} {8.8.8.8}{8.8.8.8}{8.8.8.8}{8.8.... Snet sqc142 Snet sqc2167 Snet sqc2165
Tiling details UQC429 *222222a (2,5,2) {4,4} {8.8.8.8}{8.8.8.8} Snet sqc2183 Snet sqc2181 Snet sqc2178
Tiling details UQC3549 *222222a (3,5,2) {4,4,4} {8.8.8.8}{8.8.8.8}{8.8.8.8} Snet sqc158 Snet sqc2063 Snet sqc1381

Symmetry-lowered hyperbolic tilings