h-net: hqc1587


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,8,3,12}
2D vertex symbol {4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 30, 60, 168, 366, 966, 2148, 5616, 12534, 32718), (8, 24, 64, 144, 376, 840, 2192, 4896, 12776, 28536), (3, 18, 41, 110, 249, 630, 1469, 3650, 8589, 21242), (12, 24, 66, 162, 372, 960, 2154, 5610, 12540, 32712)]
Delaney-Dress Symbol <1587.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,6 8 3 12>
Dual net hqc1395

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 sqc13871 Pn-3m 224 cubic {6,8,3,12} 44 (4,4)
Full image sqc13838 Ia-3 206 cubic {6,8,3,12} 44 (4,5)
Full image sqc13839 Fd-3m 227 cubic {6,8,3,12} 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 UQC4733 *266 (4,4,2) {6,8,3,12} {4.4.4.4.4.4}{4.3.3.4.4.3.3.4}{4... Snet sqc13871 Snet sqc13838 Snet sqc13839

Symmetry-lowered hyperbolic tilings