h-net: hqc1202


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,3,12}
2D vertex symbol {18.3.3.18}{18.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 14, 20, 60, 70, 100, 300, 348, 484), (3, 11, 10, 30, 46, 50, 150, 230, 248, 725), (12, 6, 18, 54, 30, 90, 270, 150, 438, 1284)]
Delaney-Dress Symbol <1202.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:18 3,4 3 12>
Dual net hqc1027

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 sqc13758 Pn-3m 224 cubic {4,3,12} 52 (3,4)
Full image sqc13620 Ia-3 206 cubic {4,3,12} 52 (3,5)
Full image sqc13619 Fd-3m 227 cubic {4,3,12} 52 (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 UQC4113 *266 (3,4,2) {4,3,12} {18.3.3.18}{18.3.3}{3.3.3.3.3.3.... Snet sqc13758 Snet sqc13620 Snet sqc13619

Symmetry-lowered hyperbolic tilings