h-net: hqc1431


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,4,5)
Vertex degrees{6,4}
2D vertex symbol {3.3.4.4.4.3}{3.4.4.4}
Vertex coordination sequence [(4, 10, 24, 50, 100, 206, 426, 872, 1781, 3637), (6, 16, 34, 70, 145, 297, 606, 1238, 2528, 5162)]
Delaney-Dress Symbol <1431.2:10:1 2 4 6 7 8 9 10,1 3 4 7 9 8 10,2 5 6 8 10:3 3 4 4 4,6 4>
Dual net hqc1561

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 sqc13896 Pm-3n 223 cubic {4,6} 48 (2,4)
Full image sqc13917 I-43d 220 cubic {4,6} 48 (2,5)
Full image sqc12171 P-43m 215 cubic {6,4} 24 (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 UQC2421 *344 (2,4,5) {6,4} {3.3.4.4.4.3}{3.4.4.4} Snet sqc13896 Snet sqc13917 Snet sqc12171

Symmetry-lowered hyperbolic tilings