h-net: hqc1601


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{6,4,3,12}
2D vertex symbol {8.8.8.8.8.8}{8.3.3.8}{8.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 18, 54, 24, 114, 294, 762, 336, 1590, 4098), (4, 14, 20, 68, 80, 252, 302, 938, 1130, 3498), (3, 11, 14, 48, 125, 163, 216, 680, 1757, 2245), (12, 6, 30, 78, 204, 90, 426, 1098, 2844, 1254)]
Delaney-Dress Symbol <1601.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:8 3,6 4 3 12>
Dual net hqc1393

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 sqc13827 Pn-3m 224 cubic {6,4,3,12} 56 (4,4)
Full image sqc13826 Ia-3 206 cubic {6,4,3,12} 56 (4,5)
Full image sqc13946 Fd-3m 227 cubic {6,4,3,12} 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 UQC4752 *266 (4,4,2) {6,4,3,12} {8.8.8.8.8.8}{8.3.3.8}{8.3.3}{3.... Snet sqc13827 Snet sqc13826 Snet sqc13946

Symmetry-lowered hyperbolic tilings