h-net: hqc1169


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,18,12}
2D vertex symbol {3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 36, 117, 527, 1631, 7341, 22717, 102247), (18, 48, 294, 672, 4098, 9360, 57078), (12, 78, 180, 1098, 2508, 15294, 34932, 213018)]
Delaney-Dress Symbol <1169.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,4 18 12>
Dual net hqc1032

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 sqc13596 Pn-3m 224 cubic {4,18,12} 32 (3,4)
Full image sqc13599 Ia-3 206 cubic {4,18,12} 32 (3,5)
Full image sqc13606 Fd-3m 227 cubic {4,18,12} 32 (3,4)

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 UQC4054 *266 (3,4,2) {4,18,12} {3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.... Snet sqc13596 Snet sqc13599 Snet sqc13606

Symmetry-lowered hyperbolic tilings