h-net: hqc1538


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,3,4,12}
2D vertex symbol {12.4.4}{12.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 5, 22, 30, 110, 149, 546, 733, 2610, 3506), (3, 13, 18, 66, 90, 329, 442, 1577, 2118, 7566), (4, 22, 30, 110, 150, 548, 734, 2610, 3506, 12520), (12, 18, 66, 90, 330, 444, 1578, 2118, 7566, 10158)]
Delaney-Dress Symbol <1538.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:12 4,3 3 4 12>
Dual net hqc1301

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 sqc13849 Pn-3m 224 cubic {3,3,4,12} 64 (4,4)
Full image sqc13847 Ia-3 206 cubic {3,3,4,12} 64 (4,5)
Full image sqc13845 Fd-3m 227 cubic {3,3,4,12} 64 (4,4)

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 UQC4705 *266 (4,4,2) {3,3,4,12} {12.4.4}{12.4.4}{4.4.4.4}{4.4.4.... Snet sqc13849 Snet sqc13847 Snet sqc13845

Symmetry-lowered hyperbolic tilings