h-net: hqc540


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{4,3,6}
2D vertex symbol {5.5.5.5}{5.4.5}{5.4.5.4.5.4}
Vertex coordination sequence [(4, 10, 24, 40, 76, 126, 260, 448, 864, 1490), (3, 12, 17, 42, 61, 140, 217, 458, 741, 1524), (6, 9, 24, 33, 84, 126, 270, 423, 900, 1479)]
Delaney-Dress Symbol <540.2:7:1 3 5 7,2 4 5 6 7,1 2 3 6 7:5 4,4 3 6>
Dual net hqc360

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 sqc13189 Pm-3m 221 cubic {4,3,6} 44 (3,3)
Full image sqc13116 I4132 214 cubic {4,3,6} 44 (3,4)
Full image sqc10037 P4232 208 cubic {3,6,4} 22 (3,3)

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 UQC3444 *2223 (3,3,2) {4,3,6} {5.5.5.5}{5.4.5}{5.4.5.4.5.4} Snet sqc13189 Snet sqc13116 Snet sqc10037

Symmetry-lowered hyperbolic tilings