h-net: hqc877


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,12,12}
2D vertex symbol {4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 25, 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 <877.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:4 3,3 12 12>
Dual net hqc664

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 sqc13306 Im-3m 229 cubic {12,3,12} 34 (3,3)
Full image sqc14411 Ia-3d 230 cubic {3,12,12} 68 (3,4)
Full image sqc13303 Pn-3m 224 cubic {3,12,12} 34 (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 UQC3825 *246 (3,3,2) {3,12,12} {4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3}... Snet sqc13306 Snet sqc14411 Snet sqc13303

Symmetry-lowered hyperbolic tilings