h-net: hqc904


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{6,3,6,6}
2D vertex symbol {4.4.4.4.4.4}{4.8.4}{4.8.8.4.8.8}{8.8.8.8.8.8}
Vertex coordination sequence [(6, 6, 24, 78, 366, 804, 3558, 7866, 35196, 78498), (3, 13, 30, 139, 321, 1432, 3159, 14109, 31434, 140531), (6, 16, 74, 164, 730, 1620, 7242, 16132, 72106), (6, 30, 66, 288, 630, 2826, 6330, 28296, 62910)]
Delaney-Dress Symbol <904.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 8,6 3 6 6>
Dual net hqc697

Derived s-nets

s-nets with faithful topology

4 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 sqc5307 R-3m 166 rhombohedral {6,3,6,6} 11 (4,3)
Full image sqc4996 R-3m 166 rhombohedral {6,3,6,6} 11 (4,3)
Full image sqc5005 R-3m 166 rhombohedral {6,3,6,6} 11 (4,3)
Full image sqc4995 R-3m 166 rhombohedral {6,3,6,6} 11 (4,3)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4229 *2626 (4,3,2) {6,3,6,6} {4.4.4.4.4.4}{4.8.4}{4.8.8.4.8.8... Snet sqc5307 Snet sqc5005 Snet sqc4995
Tiling details UQC4230 *2626 (4,3,2) {6,3,6,6} {4.4.4.4.4.4}{4.8.4}{4.8.8.4.8.8... Snet sqc4995 Snet sqc4996 Snet sqc5307

Symmetry-lowered hyperbolic tilings