h-net: hqc310


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{12,3,6}
2D vertex symbol {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(12, 12, 72, 60, 384, 324, 2028, 1704, 10692, 8988), (3, 24, 21, 132, 111, 696, 585, 3672, 3087, 19368), (6, 6, 54, 48, 282, 234, 1482, 1248, 7830, 6582)]
Delaney-Dress Symbol <310.2:6:2 4 6,1 2 3 5 6,3 4 5 6:4 4,12 3 6>
Dual net hqc244

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 sqc12655 Pn-3m 224 cubic {12,3,6} 32 (3,2)
Full image sqc12653 Ia-3 206 cubic {12,3,6} 32 (3,3)
Full image sqc12654 epw Fd-3m 227 cubic {12,3,6} 32 (3,2)

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 UQC3299 *266 (3,2,2) {12,3,6} {4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4}... Snet sqc12655 Snet sqc12653 Snet sqc12654

Symmetry-lowered hyperbolic tilings