h-net: hqc1583


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,4,6,12}
2D vertex symbol {4.4.4.4.4.4}{4.3.3.4}{4.3.3.4.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 12, 54, 96, 282, 468, 1482, 2496, 7830, 13164), (4, 18, 40, 108, 222, 558, 1170, 2952, 6174, 15570), (6, 20, 42, 120, 222, 648, 1170, 3408, 6174, 17976), (12, 24, 72, 120, 384, 648, 2028, 3408, 10692, 17976)]
Delaney-Dress Symbol <1583.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,6 4 6 12>
Dual net hqc1398

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 sqc13820 Pn-3m 224 cubic {6,4,6,12} 44 (4,4)
Full image sqc13817 Ia-3 206 cubic {6,4,6,12} 44 (4,5)
Full image sqc13818 Fd-3m 227 cubic {6,4,6,12} 44 (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 UQC4729 *266 (4,4,2) {6,4,6,12} {4.4.4.4.4.4}{4.3.3.4}{4.3.3.4.3... Snet sqc13820 Snet sqc13817 Snet sqc13818

Symmetry-lowered hyperbolic tilings