h-net: hqc1800


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,12,8}
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, 12, 47, 125, 317, 735, 1851, 4285, 10789, 24975), (3, 8, 38, 107, 248, 644, 1448, 3756, 8440, 21892), (12, 42, 108, 282, 636, 1650, 3708, 9618, 21612, 56058), (8, 40, 108, 248, 644, 1448, 3756, 8440, 21892, 49192)]
Delaney-Dress Symbol <1800.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 3 12 8>
Dual net hqc1665

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 sqc14055 Im-3m 229 cubic {4,12,8,3} 58 (4,5)
Full image sqc14498 Ia-3d 230 cubic {4,3,12,8} 116 (4,6)
Full image sqc14057 Pn-3m 224 cubic {3,4,12,8} 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 UQC4928 *246 (4,5,2) {4,3,12,8} {3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4... Snet sqc14055 Snet sqc14498 Snet sqc14057

Symmetry-lowered hyperbolic tilings