h-net: hqc557


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{6,3,3}
2D vertex symbol {5.4.5.5.4.5}{5.5.4}{5.5.5}
Vertex coordination sequence [(6, 16, 30, 60, 122, 240, 474, 936, 1846, 3648), (3, 11, 27, 52, 101, 200, 396, 784, 1549, 3056), (3, 6, 21, 48, 87, 171, 342, 675, 1335, 2634)]
Delaney-Dress Symbol <557.2:7:1 3 5 7,2 6 4 5 7,1 4 5 6 7:5 4,6 3 3>
Dual net hqc413

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 sqc13101 Pm-3m 221 cubic {6,3,3} 44 (3,3)
Full image sqc13103 I4132 214 cubic {6,3,3} 44 (3,4)
Full image sqc9977 P4232 208 cubic {3,3,6} 22 (3,3)

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 UQC3489 *2223 (3,3,2) {6,3,3} {5.4.5.5.4.5}{5.5.4}{5.5.5} Snet sqc13101 Snet sqc13103 Snet sqc9977

Symmetry-lowered hyperbolic tilings