h-net: hqc521


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,3,6}
2D vertex symbol {18.4.18}{18.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(3, 5, 9, 13, 16, 27, 41, 59, 91, 124), (3, 7, 8, 10, 20, 26, 42, 64, 81, 139), (6, 6, 6, 12, 18, 36, 42, 54, 108, 132)]
Delaney-Dress Symbol <521.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:18 4,3 3 6>
Dual net hqc403

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 sqc13200 Pn-3m 224 cubic {3,3,6} 52 (3,3)
Full image sqc13120 Ia-3 206 cubic {3,3,6} 52 (3,4)
Full image sqc13121 Fd-3m 227 cubic {3,3,6} 52 (3,3)

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 UQC3415 *266 (3,3,2) {3,3,6} {18.4.18}{18.4.4}{4.4.4.4.4.4} Snet sqc13200 Snet sqc13120 Snet sqc13121

Symmetry-lowered hyperbolic tilings