h-net: hqc251


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,6,4}
2D vertex symbol {4.5.5}{5.5.5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(3, 8, 20, 52, 115, 276, 605, 1434, 3132, 7426), (6, 15, 42, 81, 222, 432, 1146, 2235, 5934, 11565), (4, 20, 40, 104, 204, 540, 1052, 2800, 5456, 14500)]
Delaney-Dress Symbol <251.2:6:1 2 4 6,1 3 5 6,2 3 4 5 6:4 5,3 6 4>
Dual net hqc190

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 sqc12772 Pm-3n 223 cubic {3,6,4} 38 (3,3)
Full image sqc12765 I-43d 220 cubic {3,6,4} 38 (3,3)
Full image sqc9058 P-43m 215 cubic {3,6,4} 19 (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 UQC3266 *344 (3,3,2) {3,6,4} {4.5.5}{5.5.5.5.5.5}{5.5.5.5} Snet sqc12772 Snet sqc12765 Snet sqc9058

Symmetry-lowered hyperbolic tilings