h-net: hqc1086


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{5,4}
2D vertex symbol {3.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(5, 12, 24, 45, 84, 155, 288, 532, 987, 1824), (4, 10, 20, 38, 70, 130, 240, 446, 824, 1528)]
Delaney-Dress Symbol <1086.2:9:1 2 4 6 7 8 9,1 3 9 7 8,2 5 6 7 8 9:3 4 4,5 4>
Dual net hqc1098

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 sqc13709 Pm-3m 221 cubic {5,4} 48 (2,5)
Full image sqc13710 I4132 214 cubic {5,4} 48 (2,6)
Full image sqc11696 P4232 208 cubic {4,5} 24 (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 UQC1282 *2223 (2,5,3) {5,4} {3.4.4.4.4}{4.4.4.4} Snet sqc13709 Snet sqc13710 Snet sqc11696

Symmetry-lowered hyperbolic tilings