h-net: hqc1862


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,4,3,12}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(12, 84, 426, 2028, 9732, 46614), (4, 20, 80, 427, 2074, 9953, 47677), (3, 11, 22, 152, 793, 3803, 18223, 87305), (12, 6, 54, 342, 1686, 8046, 38568, 184788)]
Delaney-Dress Symbol <1862.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,12 4 3 12>
Dual net hqc1730

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 sqc14045 Pn-3m 224 cubic {12,4,3,12} 56 (4,5)
Full image sqc14042 Ia-3 206 cubic {12,4,3,12} 56 (4,6)
Full image sqc14040 Fd-3m 227 cubic {12,4,3,12} 56 (4,5)

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 UQC5052 *266 (4,5,2) {12,4,3,12} {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.... Snet sqc14045 Snet sqc14042 Snet sqc14040

Symmetry-lowered hyperbolic tilings