h-net: hqc917


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{6,3}
2D vertex symbol {4.4.4.4.4.4}{4.4.4}
Vertex coordination sequence [(6, 20, 55, 145, 380, 995, 2605, 6820, 17855, 46745), (3, 6, 18, 54, 145, 380, 995, 2605, 6820, 17855)]
Delaney-Dress Symbol <917.2:9:1 2 3 4 5 7 8 9,2 4 6 8 9,1 3 5 6 7 9:4 4 4 4,6 3>
Dual net hqc1094

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 sqc2440 P4/mmm 123 tetragonal {6,3} 8 (2,5)
Full image sqc8875 P4/mmm 123 tetragonal {3,6} 16 (2,7)
Full image sqc9023 Fmmm 69 orthorhombic {3,6} 16 (2,8)
Full image sqc9024 I4/mmm 139 tetragonal {3,6} 16 (2,5)
Full image sqc9025 Fmmm 69 orthorhombic {3,6} 16 (2,8)
Full image sqc12627 P4/mmm 123 tetragonal {3,6} 32 (2,8)
Full image sqc12605 I4122 98 tetragonal {3,3,6,6} 32 (4,9)
Full image sqc12606 I4122 98 tetragonal {3,3,6,6} 32 (4,9)
Full image sqc12607 I41/acd 142 tetragonal {3,6} 32 (2,5)
Full image sqc12740 Fddd 70 orthorhombic {3,3,6,6} 32 (4,9)
Full image sqc12742 I41/acd 142 tetragonal {3,6} 32 (2,5)
Full image sqc12743 Fddd 70 orthorhombic {3,3,6,6} 32 (4,9)
Full image sqc8673 P4222 93 tetragonal {6,3} 16 (2,8)
Full image sqc8675 P42/nnm 134 tetragonal {6,3} 16 (2,5)
Full image sqc8680 P4222 93 tetragonal {6,3} 16 (2,8)
Full image sqc9020 P42/nnm 134 tetragonal {3,6} 16 (2,5)
Full image sqc9021 Cmma 67 orthorhombic {3,6} 16 (2,8)
Full image sqc9022 Cmma 67 orthorhombic {6,3} 16 (2,8)

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 UQC1419 *2224 (2,5,4) {6,3} {4.4.4.4.4.4}{4.4.4} Snet sqc9024 Snet sqc12742 Snet sqc9020
Tiling details UQC1420 *2224 (2,5,4) {6,3} {4.4.4.4.4.4}{4.4.4} Snet sqc2440 Snet sqc12607 Snet sqc8675
Tiling details UQC3244 *22222a (2,8,7) {6,3} {4.4.4.4.4.4}{4.4.4} Snet sqc8875 Snet sqc12605 Snet sqc8673
Tiling details UQC3245 *22222b (2,8,7) {6,3} {4.4.4.4.4.4}{4.4.4} Snet sqc9025 Snet sqc12740 Snet sqc9022
Tiling details UQC3246 *22222b (2,8,7) {6,3} {4.4.4.4.4.4}{4.4.4} Snet sqc9023 Snet sqc12743 Snet sqc9021
Tiling details UQC3247 *22222a (2,8,7) {6,3} {4.4.4.4.4.4}{4.4.4} Snet sqc12627 Snet sqc12606 Snet sqc8680

Symmetry-lowered hyperbolic tilings