h-net: hqc1235


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,3,3,3}
2D vertex symbol {7.7.7.7.7.7}{7.4.7}{7.7.4}{7.7.7}
Vertex coordination sequence [(6, 21, 57, 126, 282, 636, 1479, 3471, 8106, 18828), (3, 8, 24, 63, 144, 339, 782, 1808, 4183, 9738), (3, 5, 15, 42, 114, 272, 623, 1403, 3233, 7516), (3, 6, 9, 27, 90, 225, 501, 1140, 2589, 6024)]
Delaney-Dress Symbol <1235.2:9:1 3 5 7 9,2 4 8 6 7 9,1 2 3 6 7 8 9:7 4,6 3 3 3>
Dual net hqc983

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 sqc11668 P4232 208 cubic {6,3,3,3} 32 (4,4)
Full image sqc11659 I213 199 cubic {6,3,3,3} 32 (4,5)
Full image sqc11648 F-43m 216 cubic {6,3,3,3} 32 (4,4)

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 UQC4380 *2323 (4,4,2) {6,3,3,3} {7.7.7.7.7.7}{7.4.7}{7.7.4}{7.7.7} Snet sqc11668 Snet sqc11659 Snet sqc11648

Symmetry-lowered hyperbolic tilings