h-net: hqc1896


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,8,4,3}
2D vertex symbol {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5}
Vertex coordination sequence [(4, 14, 22, 57, 89, 193, 331, 663, 1201, 2319), (8, 10, 38, 46, 124, 184, 412, 694, 1406, 2530), (4, 12, 16, 56, 64, 190, 256, 626, 984, 2110), (3, 21, 18, 69, 81, 222, 327, 735, 1236, 2505)]
Delaney-Dress Symbol <1896.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,4 8 4 3>
Dual net hqc1752

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 sqc14074 Pm-3m 221 cubic {4,8,4,3} 56 (4,5)
Full image sqc14076 I4132 214 cubic {4,8,4,3} 56 (4,6)
Full image sqc12507 P4232 208 cubic {4,4,8,3} 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 UQC5100 *2223 (4,5,2) {4,8,4,3} {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3... Snet sqc14074 Snet sqc14076 Snet sqc12507

Symmetry-lowered hyperbolic tilings