h-net: hqc1380


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{3,12}
2D vertex symbol {8.4.3}{3.4.4.4.3.4.4.4.3.4.4.4}
Vertex coordination sequence [(12, 60, 234, 876, 3270, 12204, 45546), (3, 12, 58, 233, 876, 3270, 12204, 45546)]
Delaney-Dress Symbol <1380.2:10:1 2 3 5 7 8 9 10,2 4 5 8 9 10,3 8 6 7 10:8 3 4 4,3 12>
Dual net hqc1604

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 sqc13802 Pm-3n 223 cubic {12,3} 56 (2,4)
Full image sqc13803 I-43d 220 cubic {12,3,3} 56 (3,5)
Full image sqc12102 P-43m 215 cubic {12,3} 28 (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 UQC1872 *344 (2,4,4) {12,3} {8.4.3}{3.4.4.4.3.4.4.4.3.4.4.4} Snet sqc13802 Snet sqc13803 Snet sqc12102

Symmetry-lowered hyperbolic tilings