h-net: hqc1517


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{3,3,4,8,4}
2D vertex symbol {8.8.8}{8.8.8}{8.8.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8}
Vertex coordination sequence [(3, 7, 24, 55, 253, 598, 2675, 6273, 27572, 64617), (3, 11, 28, 123, 287, 1284, 3013, 13241, 31028, 136225), (4, 8, 16, 68, 164, 756, 1772, 7868, 18456, 80960), (8, 20, 100, 236, 1032, 2416, 10568, 24764, 108716), (4, 28, 68, 312, 732, 3180, 7444, 32616, 76436)]
Delaney-Dress Symbol <1517.2:10:2 4 6 8 10,1 2 5 7 6 9 10,3 4 5 6 7 8 9 10:8 8,3 3 4 8 4>
Dual net hqc1329

Derived s-nets

s-nets with faithful topology

4 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 sqc3388 P-4m2 115 tetragonal {3,3,4,8,4} 11 (5,4)
Full image sqc3327 I-4 82 tetragonal {3,3,4,8,4} 11 (5,5)
Full image sqc3329 I-4m2 119 tetragonal {3,3,4,8,4} 11 (5,4)
Full image sqc3390 I-4m2 119 tetragonal {3,3,4,8,4} 11 (5,4)

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 UQC5223 *4444 (5,4,2) {3,3,4,8,4} {8.8.8}{8.8.8}{8.8.8.8}{8.8.8.8.... Snet sqc3388 Snet sqc3327 Snet sqc3329
Tiling details UQC5224 *4444 (5,4,2) {3,3,4,8,4} {8.8.8}{8.8.8}{8.8.8.8}{8.8.8.8.... Snet sqc2245 Snet sqc3327 Snet sqc3390

Symmetry-lowered hyperbolic tilings