h-net: hqc301


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{4,3,4}
2D vertex symbol {3.3.12.12}{12.12.12}{3.3.3.3}
Vertex coordination sequence [(4, 5, 11, 20, 28, 52, 91, 129, 220, 396), (3, 9, 9, 15, 42, 51, 69, 165, 243, 324), (4, 4, 8, 24, 24, 40, 100, 124, 172, 412)]
Delaney-Dress Symbol <301.2:6:1 6 3 5,2 4 5 6,3 2 4 5 6:3 12,4 3 4>
Dual net hqc214

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 sqc12817 Pm-3n 223 cubic {3,4,4} 38 (3,3)
Full image sqc12808 I-43d 220 cubic {3,4,4} 38 (3,3)
Full image sqc9125 P-43m 215 cubic {4,4,3} 19 (3,3)

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 UQC3287 *344 (3,3,2) {4,3,4} {3.3.12.12}{12.12.12}{3.3.3.3} Snet sqc12817 Snet sqc12808 Snet sqc9125

Symmetry-lowered hyperbolic tilings