h-net: hqc1167


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{4,12,12}
2D vertex symbol {3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 24, 61, 159, 359, 929, 2093, 5415, 12199, 31561), (12, 32, 100, 192, 588, 1120, 3428, 6528, 19980, 38048), (12, 42, 84, 258, 492, 1506, 2868, 8778, 16716, 51162)]
Delaney-Dress Symbol <1167.2:9:1 3 5 7 9,2 3 6 9 8,1 4 5 6 7 8 9:3 3,4 12 12>
Dual net hqc1031

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 sqc13618 Im-3m 229 cubic {4,12,12} 34 (3,4)
Full image sqc14446 Ia-3d 230 cubic {4,12,12} 68 (3,5)
Full image sqc13622 Pn-3m 224 cubic {12,12,4} 34 (3,4)

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 UQC4052 *246 (3,4,2) {4,12,12} {3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.... Snet sqc13618 Snet sqc14446 Snet sqc13622

Symmetry-lowered hyperbolic tilings