h-net: hqc2120


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,16,12}
2D vertex symbol {3.3.3.3}{3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 24, 44, 196, 260, 1148, 1516, 6692, 8836, 39004), (4, 31, 72, 208, 424, 1216, 2472, 7088, 14408, 41312), (16, 32, 144, 192, 848, 1120, 4944, 6528, 28816, 38048), (12, 60, 84, 372, 492, 2172, 2868, 12660, 16716, 73788)]
Delaney-Dress Symbol <2120.2:12:2 4 6 8 10 12,3 6 5 9 12 11,1 2 3 4 7 8 9 10 11 12:3 3,4 4 16 12>
Dual net hqc2012

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 sqc14161 Im-3m 229 cubic {4,16,12,4} 46 (4,5)
Full image sqc14508 Ia-3d 230 cubic {4,4,16,12} 92 (4,6)
Full image sqc14163 Pn-3m 224 cubic {4,4,16,12} 46 (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 UQC5205 *246 (4,5,2) {4,4,16,12} {3.3.3.3}{3.3.3.3}{3.3.3.3.3.3.3... Snet sqc14161 Snet sqc14508 Snet sqc14163

Symmetry-lowered hyperbolic tilings