h-net: hqc1970


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,3}
2D vertex symbol {3.4.4.6.4.4}{4.6.6}
Vertex coordination sequence [(6, 18, 40, 80, 162, 344, 744, 1594, 3370, 7096), (3, 8, 22, 55, 122, 249, 506, 1060, 2269, 4856)]
Delaney-Dress Symbol <1970.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 12 7 9 11,2 4 7 8 10 12:3 4 4 6 6,6 3>
Dual net hqc2087

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 sqc12738 P4232 208 cubic {6,3} 36 (2,5)
Full image sqc12732 I213 199 cubic {6,3,3} 36 (3,6)
Full image sqc12717 F-43m 216 cubic {6,3} 36 (2,5)

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 UQC2622 *2323 (2,5,5) {6,3} {3.4.4.6.4.4}{4.6.6} Snet sqc12738 Snet sqc12732 Snet sqc12717

Symmetry-lowered hyperbolic tilings