h-net: hqc1301


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{4,12}
2D vertex symbol {4.3.3.12}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(12, 12, 18, 60, 72, 174, 294, 408, 1050, 1512), (4, 13, 21, 33, 73, 120, 232, 416, 671, 1351)]
Delaney-Dress Symbol <1301.2:10:1 2 3 4 5 7 9 10,2 4 6 7 10 9,3 10 5 8 9:4 12 3 3,4 12>
Dual net hqc1538

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 sqc13822 Pn-3m 224 cubic {12,4} 52 (2,4)
Full image sqc13821 Ia-3 206 cubic {12,4,4} 52 (3,5)
Full image sqc13825 Fd-3m 227 cubic {12,4} 52 (2,4)

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 UQC1731 *266 (2,4,4) {12,4} {4.3.3.12}{3.3.3.3.3.3.3.3.3.3.3.3} Snet sqc13822 Snet sqc13821 Snet sqc13825

Symmetry-lowered hyperbolic tilings