h-net: hqc1853


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{6,4,9,4}
2D vertex symbol {5.5.5.5.5.5}{5.3.3.5}{5.3.3.5.3.3.5.3.3}{3.3.3.3}
Vertex coordination sequence [(6, 24, 78, 180, 468, 1218, 3366, 8778, 23268, 61098), (4, 18, 30, 114, 272, 800, 1958, 5368, 13888, 37486), (9, 9, 42, 99, 339, 780, 2151, 5469, 15078, 39129), (4, 14, 18, 78, 200, 580, 1416, 3834, 10070, 27034)]
Delaney-Dress Symbol <1853.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,6 4 9 4>
Dual net hqc1713

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 sqc12492 P4232 208 cubic {6,4,9,4} 26 (4,5)
Full image sqc12494 I213 199 cubic {6,4,9,4} 26 (4,6)
Full image sqc12491 F-43m 216 cubic {6,4,9,4} 26 (4,5)

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 UQC5039 *2323 (4,5,2) {6,4,9,4} {5.5.5.5.5.5}{5.3.3.5}{5.3.3.5.3... Snet sqc12492 Snet sqc12494 Snet sqc12491

Symmetry-lowered hyperbolic tilings