h-net: hqc525


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{4,12,6}
2D vertex symbol {3.4.4.3}{3.4.3.4.3.4.3.4.3.4.3.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 24, 26, 132, 148, 696, 824, 3684, 4570, 19488), (12, 12, 72, 72, 384, 396, 2028, 2232, 10692, 12444), (6, 12, 54, 60, 282, 360, 1482, 1956, 7902, 10788)]
Delaney-Dress Symbol <525.2:7:1 3 5 7,2 3 6 5 7,1 4 5 6 7:3 4,4 12 6>
Dual net hqc449

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 sqc13053 Pn-3m 224 cubic {4,12,6} 32 (3,3)
Full image sqc13050 Ia-3 206 cubic {4,12,6} 32 (3,4)
Full image sqc13051 Fd-3m 227 cubic {4,12,6} 32 (3,3)

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 UQC3420 *266 (3,3,2) {4,12,6} {3.4.4.3}{3.4.3.4.3.4.3.4.3.4.3.... Snet sqc13053 Snet sqc13050 Snet sqc13051

Symmetry-lowered hyperbolic tilings