h-net: hqc1084


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{4,5}
2D vertex symbol {6.4.3.4}{4.6.4.3.3}
Vertex coordination sequence [(5, 12, 23, 42, 75, 138, 253, 458, 833, 1510), (4, 9, 19, 38, 70, 126, 225, 407, 744, 1352)]
Delaney-Dress Symbol <1084.2:9:1 2 4 6 7 8 9,1 3 8 5 7 9,2 5 6 7 9:6 4 3 6,4 5>
Dual net hqc1245

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 sqc13717 Pn-3m 224 cubic {5,4} 48 (2,4)
Full image sqc13719 Ia-3 206 cubic {5,4} 48 (2,5)
Full image sqc13715 Fd-3m 227 cubic {5,4} 48 (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 UQC1582 *266 (2,4,4) {4,5} {6.4.3.4}{4.6.4.3.3} Snet sqc13717 Snet sqc13719 Snet sqc13715

Symmetry-lowered hyperbolic tilings