h-net: hqc219


Topological data

Orbifold symbol*446
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{3,12}
2D vertex symbol {4.4.4}{4.6.4.4.6.4.4.6.4.4.6.4}
Vertex coordination sequence [(12, 84, 540, 3444, 21952, 139928), (3, 12, 82, 539, 3444, 21952, 139928)]
Delaney-Dress Symbol <219.2:6:1 2 4 5 6,1 3 5 6,2 3 4 6:4 4 6,3 12>
Dual net hqc303

Derived s-nets

s-nets with faithful topology

2 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 sqc8540 Pm-3m 221 cubic {3,12} 15 (2,3)
Full image sqc8534 R-3 148 rhombohedral {12,3,3} 15 (3,6)

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 UQC2665 *2626 (2,5,5) {12,3} {4.4.4}{4.6.4.4.6.4.4.6.4.4.6.4} Snet sqc8540 Snet sqc8534 Snet sqc8540

Symmetry-lowered hyperbolic tilings