h-net: hqc2062


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,8,3,6,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 18, 33, 117, 174, 627, 957, 3462, 5295, 19131), (8, 14, 52, 80, 290, 444, 1604, 2450, 8852, 13524), (3, 14, 23, 84, 127, 460, 705, 2549, 3896, 14075), (6, 24, 36, 132, 204, 738, 1128, 4074, 6222, 22482), (4, 10, 40, 60, 216, 330, 1196, 1832, 6618, 10108)]
Delaney-Dress Symbol <2062.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,3 8 3 6 4>
Dual net hqc1945

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 sqc12686 P4232 208 cubic {3,8,3,6,4} 32 (5,5)
Full image sqc12687 I213 199 cubic {3,8,3,6,4} 32 (5,6)
Full image sqc12685 F-43m 216 cubic {3,8,3,6,4} 32 (5,5)

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 UQC5413 *2323 (5,5,2) {3,8,3,6,4} {4.4.4}{4.4.4.4.4.4.4.4}{4.4.4}{... Snet sqc12686 Snet sqc12687 Snet sqc12685

Symmetry-lowered hyperbolic tilings