h-net: hqc729


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{4,4}
2D vertex symbol {4.8.3.8}{8.8.3.3}
Vertex coordination sequence [(4, 8, 18, 32, 58, 112, 208, 376, 704, 1312), (4, 8, 16, 32, 60, 108, 200, 376, 696, 1276)]
Delaney-Dress Symbol <729.2:8:1 2 4 6 7 8,1 3 8 5 7,2 5 6 7 8:4 8 3,4 4>
Dual net hqc836

Derived s-nets

s-nets with faithful topology

6 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 sqc2168 P4/mmm 123 tetragonal {4,4} 8 (2,4)
Full image sqc8051 I4/mmm 139 tetragonal {4,4} 16 (2,4)
Full image sqc12441 I41/acd 142 tetragonal {4,4} 32 (2,5)
Full image sqc12444 I41/acd 142 tetragonal {4,4} 32 (2,5)
Full image sqc2174 I4/mmm 139 tetragonal {4,4} 8 (2,4)
Full image sqc8056 P42/nnm 134 tetragonal {4,4} 16 (2,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC988 *2224 (2,4,3) {4,4} {4.8.3.8}{8.8.3.3} Snet sqc2168 Snet sqc12444 Snet sqc8056
Tiling details UQC989 *2224 (2,4,3) {4,4} {4.8.3.8}{8.8.3.3} Snet sqc8051 Snet sqc12441 Snet sqc2174

Symmetry-lowered hyperbolic tilings