h-net: hqc1600


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,4,3,8}
2D vertex symbol {8.8.8.8.8.8}{8.3.3.8}{8.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 18, 30, 12, 54, 138, 186, 72, 318, 810), (4, 10, 18, 38, 44, 90, 120, 222, 266, 522), (3, 7, 12, 38, 63, 49, 82, 234, 377, 277), (8, 4, 20, 52, 72, 28, 124, 316, 424, 164)]
Delaney-Dress Symbol <1600.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:8 3,6 4 3 8>
Dual net hqc1381

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 sqc13966 Im-3m 229 cubic {4,3,8,6} 58 (4,4)
Full image sqc14478 Ia-3d 230 cubic {6,4,3,8} 116 (4,5)
Full image sqc13861 Pn-3m 224 cubic {3,4,6,8} 58 (4,4)

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 UQC4751 *246 (4,4,2) {6,4,3,8} {8.8.8.8.8.8}{8.3.3.8}{8.3.3}{3.... Snet sqc13966 Snet sqc14478 Snet sqc13861

Symmetry-lowered hyperbolic tilings