h-net: hqc1574


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,8,3,12}
2D vertex symbol {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 20, 32, 72, 132, 260, 504, 960, 1892, 3572), (8, 20, 44, 84, 164, 320, 608, 1200, 2264, 4484), (3, 18, 35, 74, 139, 274, 525, 1018, 1965, 3794), (12, 24, 54, 102, 204, 384, 762, 1434, 2844, 5352)]
Delaney-Dress Symbol <1574.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 8 3 12>
Dual net hqc1394

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 sqc13840 Im-3m 229 cubic {3,4,8,12} 46 (4,4)
Full image sqc14470 Ia-3d 230 cubic {4,8,3,12} 92 (4,5)
Full image sqc13872 Pn-3m 224 cubic {3,8,4,12} 46 (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 UQC4716 *246 (4,4,2) {4,8,3,12} {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3... Snet sqc13840 Snet sqc14470 Snet sqc13872

Symmetry-lowered hyperbolic tilings