h-net: hqc213


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{3,12}
2D vertex symbol {3.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 11, 74, 404, 2092, 10832, 56104), (12, 76, 404, 2092, 10832, 56104)]
Delaney-Dress Symbol <213.2:6:1 2 4 5 6,1 3 5 6,2 3 4 6:3 4 4,3 12>
Dual net hqc302

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 sqc12597 Pm-3n 223 cubic {3,12} 30 (2,3)
Full image sqc12589 I-43d 220 cubic {3,12} 30 (2,3)
Full image sqc8539 P-43m 215 cubic {3,12} 15 (2,3)

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 UQC445 *344 (2,3,3) {3,12} {3.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} Snet sqc12597 Snet sqc12589 Snet sqc8539

Symmetry-lowered hyperbolic tilings