h-net: hqc879


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,18,12}
2D vertex symbol {4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 37, 117, 527, 1631, 7341, 22717, 102247), (18, 48, 294, 672, 4098, 9360, 57078), (12, 78, 180, 1098, 2508, 15294, 34932, 213018)]
Delaney-Dress Symbol <879.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:4 3,3 18 12>
Dual net hqc665

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 sqc13287 Pn-3m 224 cubic {3,18,12} 32 (3,3)
Full image sqc13286 Ia-3 206 cubic {3,18,12} 32 (3,4)
Full image sqc13296 Fd-3m 227 cubic {3,18,12} 32 (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 UQC3827 *266 (3,3,2) {3,18,12} {4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3.... Snet sqc13287 Snet sqc13286 Snet sqc13296

Symmetry-lowered hyperbolic tilings