h-net: hqc1487


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,3,6}
2D vertex symbol {5.5.5.5}{5.5.5}{5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 10, 14, 26, 60, 128, 268, 558, 1138, 2342), (3, 7, 16, 35, 77, 164, 343, 703, 1450, 2995), (3, 9, 23, 51, 107, 223, 462, 953, 1973, 4083), (6, 21, 48, 102, 213, 432, 888, 1842, 3813, 7890)]
Delaney-Dress Symbol <1487.2:10:1 3 5 7 9 10,2 4 5 6 8 10,1 2 3 6 7 8 9 10:5 5,4 3 3 6>
Dual net hqc1343

Derived s-nets

s-nets with faithful topology

3 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 sqc13925 Pm-3m 221 cubic {4,3,3,6} 68 (4,5)
Full image sqc13928 I4132 214 cubic {4,3,3,6} 68 (4,6)
Full image sqc12097 P4232 208 cubic {3,3,6,4} 34 (4,5)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4574 *2223 (4,5,2) {4,3,3,6} {5.5.5.5}{5.5.5}{5.5.5}{5.5.5.5.... Snet sqc13925 Snet sqc13928 Snet sqc12097

Symmetry-lowered hyperbolic tilings