h-net: hqc365


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,4}
2D vertex symbol {6.3.4.3.6}{3.4.3.4}
Vertex coordination sequence [(5, 13, 26, 55, 111, 220, 445, 901, 1798, 3623), (4, 10, 26, 54, 98, 208, 430, 826, 1686, 3446)]
Delaney-Dress Symbol <365.2:7:1 2 3 5 7,2 4 5 6 7,1 3 6 7:6 3 4,5 4>
Dual net hqc543

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 sqc13138 Pm-3m 221 cubic {5,4} 36 (2,3)
Full image sqc13134 I4132 214 cubic {5,4} 36 (2,4)
Full image sqc10057 P4232 208 cubic {5,4} 18 (2,3)

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 UQC561 *2223 (2,3,3) {5,4} {6.3.4.3.6}{3.4.3.4} Snet sqc13138 Snet sqc13134 Snet sqc10057

Symmetry-lowered hyperbolic tilings