h-net: hqc1001


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,9}
2D vertex symbol {4.4.6}{6.4.4.6.4.4.6.4.4}
Vertex coordination sequence [(9, 30, 69, 156, 363, 834, 1911, 4392, 10089, 23166), (3, 10, 35, 91, 209, 480, 1105, 2536, 5823, 13376)]
Delaney-Dress Symbol <1001.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:4 6 4,3 9>
Dual net hqc1192

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 sqc13631 Pm-3m 221 cubic {9,3} 56 (2,4)
Full image sqc13632 I4132 214 cubic {9,3,3} 56 (3,5)
Full image sqc11626 P4232 208 cubic {9,3} 28 (2,4)

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 UQC1091 *2223 (2,4,3) {9,3} {4.4.6}{6.4.4.6.4.4.6.4.4} Snet sqc13631 Snet sqc13632 Snet sqc11626

Symmetry-lowered hyperbolic tilings