h-net: hqc1843


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,9,4}
2D vertex symbol {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3.5.3.3}{3.3.3.3}
Vertex coordination sequence [(4, 12, 32, 48, 92, 156, 332, 540, 1064, 1828), (4, 16, 18, 54, 72, 180, 256, 578, 896, 1920), (9, 9, 30, 39, 111, 144, 339, 513, 1146, 1773), (4, 14, 14, 46, 68, 156, 228, 494, 830, 1654)]
Delaney-Dress Symbol <1843.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,4 4 9 4>
Dual net hqc1712

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 sqc14064 Pm-3m 221 cubic {4,4,9,4} 56 (4,5)
Full image sqc14063 I4132 214 cubic {4,4,9,4} 56 (4,6)
Full image sqc12493 P4232 208 cubic {4,4,4,9} 28 (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 UQC5015 *2223 (4,5,2) {4,4,9,4} {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3.5... Snet sqc14064 Snet sqc14063 Snet sqc12493

Symmetry-lowered hyperbolic tilings