h-net: hqc561


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,6,3}
2D vertex symbol {5.6.5}{5.5.6.5.5.6}{5.5.5}
Vertex coordination sequence [(3, 12, 25, 65, 144, 361, 802, 1985, 4481, 10921), (6, 12, 38, 74, 206, 420, 1118, 2376, 6098, 13346), (3, 15, 24, 81, 153, 432, 867, 2337, 4908, 12729)]
Delaney-Dress Symbol <561.2:7:1 3 5 7,2 6 4 5 7,1 4 5 6 7:5 6,3 6 3>
Dual net hqc416

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 sqc10039 P4232 208 cubic {3,6,3} 22 (3,3)
Full image sqc10038 I213 199 cubic {3,6,3} 22 (3,4)
Full image sqc10042 F-43m 216 cubic {3,6,3} 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 UQC3495 *2323 (3,3,2) {3,6,3} {5.6.5}{5.5.6.5.5.6}{5.5.5} Snet sqc10039 Snet sqc10038 Snet sqc10042

Symmetry-lowered hyperbolic tilings