h-net: hqc1549


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{6,3,3,4,6}
2D vertex symbol {4.4.4.4.4.4}{4.6.4}{4.6.6}{6.6.6.6}{6.6.6.6.6.6}
Vertex coordination sequence [(6, 6, 6, 12, 36, 78, 198, 384, 936, 1848), (3, 7, 9, 20, 45, 117, 231, 570, 1118, 2743), (3, 6, 16, 32, 79, 158, 393, 772, 1898, 3704), (4, 14, 32, 82, 160, 392, 772, 1898, 3704, 9092), (6, 18, 48, 96, 240, 468, 1146, 2238, 5496, 10728)]
Delaney-Dress Symbol <1549.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 6,6 3 3 4 6>
Dual net hqc1325

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 sqc13934 Pn-3m 224 cubic {6,3,3,4,6} 68 (5,4)
Full image sqc13937 Ia-3 206 cubic {6,3,3,4,6} 68 (5,5)
Full image sqc13936 Fd-3m 227 cubic {6,3,3,4,6} 68 (5,4)

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 UQC5237 *266 (5,4,2) {6,3,3,4,6} {4.4.4.4.4.4}{4.6.4}{4.6.6}{6.6.... Snet sqc13934 Snet sqc13937 Snet sqc13936

Symmetry-lowered hyperbolic tilings