h-net: hqc1937


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,4}
2D vertex symbol {4.4.6.4}{6.4.3.4}
Vertex coordination sequence [(4, 8, 15, 26, 41, 66, 104, 164, 260, 410), (4, 9, 16, 26, 42, 67, 106, 168, 266, 421)]
Delaney-Dress Symbol <1937.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:4 4 6 4 3,4 4>
Dual net hqc2059

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 sqc14286 Pm-3m 221 cubic {4,4} 72 (2,5)
Full image sqc14277 I4132 214 cubic {4,4,4} 72 (3,6)
Full image sqc12825 P4232 208 cubic {4,4} 36 (2,5)

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 UQC2582 *2223 (2,5,5) {4,4} {4.4.6.4}{6.4.3.4} Snet sqc14286 Snet sqc14277 Snet sqc12825

Symmetry-lowered hyperbolic tilings