h-net: hqc1895


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,12,6}
2D vertex symbol {5.3.3.5}{5.5.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 14, 26, 52, 154, 250, 452, 1090, 2496, 4194), (4, 16, 24, 70, 118, 270, 518, 1160, 2204, 4558), (12, 12, 36, 108, 204, 264, 744, 1860, 3012, 5280), (6, 18, 54, 48, 138, 414, 762, 1008, 2838, 7026)]
Delaney-Dress Symbol <1895.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,4 4 12 6>
Dual net hqc1760

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 sqc14049 Pn-3m 224 cubic {4,4,12,6} 56 (4,5)
Full image sqc14052 Ia-3 206 cubic {4,4,12,6} 56 (4,6)
Full image sqc14048 Fd-3m 227 cubic {4,4,12,6} 56 (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 UQC5099 *266 (4,5,2) {4,4,12,6} {5.3.3.5}{5.5.3.3}{3.3.3.3.3.3.3... Snet sqc14049 Snet sqc14052 Snet sqc14048

Symmetry-lowered hyperbolic tilings