h-net: hqc1521


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,6,6,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 12, 14, 44, 47, 144, 153, 468, 498, 1524), (6, 8, 26, 28, 86, 92, 282, 300, 918, 976), (6, 9, 30, 33, 102, 108, 330, 351, 1074, 1143), (4, 16, 18, 56, 60, 184, 196, 600, 638, 1952)]
Delaney-Dress Symbol <1521.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 6 6 4>
Dual net hqc1291

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 sqc13929 Pm-3m 221 cubic {3,6,6,4} 56 (4,4)
Full image sqc13930 I4132 214 cubic {3,6,6,4} 56 (4,5)
Full image sqc12208 P4232 208 cubic {6,3,6,4} 28 (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 UQC4675 *2223 (4,4,2) {3,6,6,4} {4.4.4}{4.4.4.4.4.4}{4.4.4.4.4.4... Snet sqc13929 Snet sqc13930 Snet sqc12208

Symmetry-lowered hyperbolic tilings