h-net: hqc306


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{4,6,3}
2D vertex symbol {4.4.4.4}{4.4.4.4.4.4}{4.4.4}
Vertex coordination sequence [(4, 16, 22, 72, 96, 312, 416, 1352, 1802, 5856), (6, 10, 34, 46, 150, 200, 650, 866, 2814, 3750), (3, 12, 18, 60, 81, 264, 351, 1140, 1518, 4932)]
Delaney-Dress Symbol <306.2:6:2 4 6,1 2 3 5 6,3 4 5 6:4 4,4 6 3>
Dual net hqc230

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 sqc12757 epq Pm-3m 221 cubic {4,6,3} 32 (3,2)
Full image sqc12756 I4132 214 cubic {4,6,3} 32 (3,3)
Full image sqc9057 epd P4232 208 cubic {4,6,3} 16 (3,2)

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 UQC3291 *2223 (3,2,2) {4,6,3} {4.4.4.4}{4.4.4.4.4.4}{4.4.4} Snet sqc12757 Snet sqc12756 Snet sqc9057

Symmetry-lowered hyperbolic tilings