h-net: hqc813


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,4,8}
2D vertex symbol {3.5.5.3}{3.5.3.5}{5.5.5.5.5.5.5.5}
Vertex coordination sequence [(4, 12, 44, 160, 520, 1696, 5526, 17982, 58512), (4, 6, 28, 116, 376, 1214, 3976, 12938, 42078), (8, 40, 128, 408, 1336, 4352, 14152, 46056)]
Delaney-Dress Symbol <813.2:8:1 3 5 7 8,2 3 6 5 8,1 4 5 6 7 8:3 5,4 4 8>
Dual net hqc679

Derived s-nets

s-nets with faithful topology

5 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 sqc7554 I4/mmm 139 tetragonal {4,4,8} 14 (3,4)
Full image sqc12302 I41/acd 142 tetragonal {4,4,8} 28 (3,5)
Full image sqc12303 I41/acd 142 tetragonal {4,4,8} 28 (3,5)
Full image sqc7416 P42/nnm 134 tetragonal {4,8,4} 14 (3,4)
Full image sqc7523 P42/nnm 134 tetragonal {8,4,4} 14 (3,4)

s-nets with edge collapse


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 UQC3704 *2224 (3,4,2) {4,4,8} {3.5.5.3}{3.5.3.5}{5.5.5.5.5.5.5.5} Snet sqc1506 Snet sqc12303 Snet sqc7416
Tiling details UQC3705 *2224 (3,4,2) {4,4,8} {3.5.5.3}{3.5.3.5}{5.5.5.5.5.5.5.5} Snet sqc7554 Snet sqc12302 Snet sqc7523

Symmetry-lowered hyperbolic tilings