h-net: hqc884


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,6,12}
2D vertex symbol {8.3.3}{8.3.3.8.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 15, 30, 64, 125, 239, 470, 890, 1757, 3319), (6, 18, 30, 88, 122, 324, 462, 1204, 1730, 4488), (12, 18, 54, 78, 204, 294, 762, 1098, 2844, 4098)]
Delaney-Dress Symbol <884.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:8 3,3 6 12>
Dual net hqc662

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 sqc13302 Im-3m 229 cubic {6,12,3} 40 (3,3)
Full image sqc14410 Ia-3d 230 cubic {3,6,12} 80 (3,4)
Full image sqc13399 Pn-3m 224 cubic {6,3,12} 40 (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 UQC3836 *246 (3,3,2) {3,6,12} {8.3.3}{8.3.3.8.3.3}{3.3.3.3.3.3... Snet sqc13302 Snet sqc14410 Snet sqc13399

Symmetry-lowered hyperbolic tilings