h-net: hqc1245


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,4,6,6}
2D vertex symbol {5.4.5}{5.5.4.4}{4.4.4.4.4.4}{5.5.5.5.5.5}
Vertex coordination sequence [(3, 7, 17, 35, 68, 126, 287, 521, 962, 1784), (4, 12, 24, 52, 94, 198, 356, 742, 1326, 2772), (6, 12, 36, 72, 114, 180, 516, 1008, 1590, 2508), (6, 18, 30, 48, 138, 270, 426, 672, 1926, 3762)]
Delaney-Dress Symbol <1245.2:9:1 3 5 7 9,2 8 4 6 7 9,1 4 5 6 7 8 9:5 4,3 4 6 6>
Dual net hqc1084

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 sqc13683 Pn-3m 224 cubic {3,4,6,6} 56 (4,4)
Full image sqc13682 Ia-3 206 cubic {3,4,6,6} 56 (4,5)
Full image sqc13688 Fd-3m 227 cubic {3,4,6,6} 56 (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 UQC4395 *266 (4,4,2) {3,4,6,6} {5.4.5}{5.5.4.4}{4.4.4.4.4.4}{5.... Snet sqc13683 Snet sqc13682 Snet sqc13688

Symmetry-lowered hyperbolic tilings