h-net: hqc2373


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,12,4,6}
2D vertex symbol {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4.3.3.4.4.3}{4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 20, 24, 120, 148, 644, 824, 3564, 4536, 19680), (4, 22, 24, 134, 132, 736, 732, 4058, 4040, 22410), (12, 12, 72, 72, 396, 396, 2196, 2184, 12120, 12060), (4, 28, 28, 156, 156, 864, 860, 4772, 4748, 26340), (6, 12, 60, 60, 342, 336, 1866, 1860, 10308, 10260)]
Delaney-Dress Symbol <2373.2:14:2 4 6 8 10 12 14,3 6 5 9 14 11 13,1 2 3 4 7 8 9 10 11 12 13 14:3 4,4 4 12 4 6>
Dual net hqc2311

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 sqc13048 P4232 208 cubic {4,4,12,4,6} 32 (5,6)
Full image sqc13044 I213 199 cubic {4,4,12,4,6} 32 (5,7)
Full image sqc13045 F-43m 216 cubic {4,4,12,4,6} 32 (5,6)

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 UQC5815 *2323 (5,6,2) {4,4,12,4,6} {3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4... Snet sqc13048 Snet sqc13044 Snet sqc13045

Symmetry-lowered hyperbolic tilings