h-net: hqc1729


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{3,5}
2D vertex symbol {12.4.3}{3.4.8.8.4}
Vertex coordination sequence [(5, 12, 23, 40, 65, 104, 165, 262, 415, 656), (3, 5, 10, 22, 40, 65, 104, 165, 262, 415)]
Delaney-Dress Symbol <1729.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:12 3 4 8,3 5>
Dual net hqc1856

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 sqc14107 Im-3m 229 cubic {3,5} 72 (2,5)
Full image sqc14502 Ia-3d 230 cubic {5,3,3} 144 (3,6)
Full image sqc14125 Pn-3m 224 cubic {3,5} 72 (2,5)

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 UQC2208 *246 (2,5,4) {5,3} {12.4.3}{3.4.8.8.4} Snet sqc14107 Snet sqc14502 Snet sqc14125

Symmetry-lowered hyperbolic tilings