h-net: hqc1585


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,4,18,4}
2D vertex symbol {4.4.4.4.4.4}{4.3.3.4}{4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3}
Vertex coordination sequence [(6, 12, 78, 48, 402, 276, 2106, 1440, 11142, 7596), (4, 34, 24, 188, 128, 990, 676, 5224, 3564, 27554), (18, 12, 102, 72, 546, 372, 2886, 1968, 15210, 10380), (4, 32, 24, 168, 160, 864, 832, 4596, 4364, 24220)]
Delaney-Dress Symbol <1585.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,6 4 18 4>
Dual net hqc1372

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 sqc13811 Pn-3m 224 cubic {6,4,18,4} 44 (4,4)
Full image sqc13808 Ia-3 206 cubic {6,4,18,4} 44 (4,5)
Full image sqc13810 Fd-3m 227 cubic {6,4,18,4} 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 UQC4731 *266 (4,4,2) {6,4,18,4} {4.4.4.4.4.4}{4.3.3.4}{4.3.3.4.3... Snet sqc13811 Snet sqc13808 Snet sqc13810

Symmetry-lowered hyperbolic tilings