h-net: hqc317


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(3,2,2)
Vertex degrees{8,3,4}
2D vertex symbol {6.4.6.4.6.4.6.4}{6.4.4}{4.4.4.4}
Vertex coordination sequence [(8, 12, 52, 64, 276, 336, 1432, 1740, 7412, 9008), (3, 15, 19, 82, 101, 433, 527, 2248, 2732, 11639), (4, 4, 24, 32, 128, 156, 676, 824, 3516, 4272)]
Delaney-Dress Symbol <317.2:6:2 4 6,1 2 3 5 6,3 4 5 6:6 4,8 3 4>
Dual net hqc236

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 sqc12694 Pm-3n 223 cubic {8,3,4} 36 (3,2)
Full image sqc12696 I-43d 220 cubic {8,3,4} 36 (3,3)
Full image sqc8979 eps Pm-3m 221 cubic {4,3,8} 18 (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 UQC3309 *344 (3,2,2) {8,3,4} {6.4.6.4.6.4.6.4}{6.4.4}{4.4.4.4} Snet sqc12694 Snet sqc12696 Snet sqc8979

Symmetry-lowered hyperbolic tilings