h-net: hqc1799


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,8,12}
2D vertex symbol {3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 45, 103, 309, 607, 1805, 3539, 10521, 20627), (3, 12, 34, 125, 228, 750, 1332, 4374, 7764, 25494), (8, 44, 88, 292, 520, 1708, 3032, 9956, 17672, 58028), (12, 36, 126, 228, 750, 1332, 4374, 7764, 25494, 45252)]
Delaney-Dress Symbol <1799.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 3 8 12>
Dual net hqc1662

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 sqc14056 Im-3m 229 cubic {3,4,8,12} 58 (4,5)
Full image sqc14499 Ia-3d 230 cubic {4,3,8,12} 116 (4,6)
Full image sqc14058 Pn-3m 224 cubic {3,4,8,12} 58 (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 UQC4927 *246 (4,5,2) {4,3,8,12} {3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4... Snet sqc14056 Snet sqc14499 Snet sqc14058

Symmetry-lowered hyperbolic tilings