h-net: hqc1067


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,4}
2D vertex symbol {6.3.4.4.3}{3.4.6.4}
Vertex coordination sequence [(5, 12, 23, 42, 77, 142, 257, 466, 851, 1552), (4, 10, 21, 39, 70, 128, 236, 430, 778, 1415)]
Delaney-Dress Symbol <1067.2:9:1 2 4 6 7 8 9,1 3 4 7 8 9,2 5 6 7 9:6 3 4 6,5 4>
Dual net hqc1253

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 sqc13729 Pn-3m 224 cubic {5,4} 48 (2,4)
Full image sqc13727 Ia-3 206 cubic {5,4} 48 (2,5)
Full image sqc13712 Fd-3m 227 cubic {5,4} 48 (2,4)

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 UQC1556 *266 (2,4,4) {5,4} {6.3.4.4.3}{3.4.6.4} Snet sqc13729 Snet sqc13727 Snet sqc13712

Symmetry-lowered hyperbolic tilings