h-net: hqc2063


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,4,12}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 8, 40, 52, 184, 208, 704, 792, 2628), (4, 6, 24, 30, 114, 132, 445, 501, 1666, 1874), (3, 14, 18, 70, 82, 281, 318, 1056, 1188, 3942), (4, 24, 32, 116, 132, 446, 502, 1666, 1874, 6218), (12, 18, 72, 84, 282, 318, 1056, 1188, 3942, 4434)]
Delaney-Dress Symbol <2063.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,4 4 3 4 12>
Dual net hqc1941

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 sqc14177 Im-3m 229 cubic {3,4,4,12,4} 70 (5,5)
Full image sqc14512 Ia-3d 230 cubic {4,4,3,4,12} 140 (5,6)
Full image sqc14179 Pn-3m 224 cubic {4,3,12,4,4} 70 (5,5)

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 UQC5414 *246 (5,5,2) {4,4,3,4,12} {4.4.4.4}{4.4.4.4}{4.4.4}{4.4.4.... Snet sqc14177 Snet sqc14512 Snet sqc14179

Symmetry-lowered hyperbolic tilings