h-net: hqc2103


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,4,3,8}
2D vertex symbol {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(6, 18, 54, 90, 210, 342, 786, 1278, 2934, 4770), (4, 16, 36, 80, 140, 334, 538, 1242, 2014, 4630), (4, 8, 14, 32, 82, 142, 329, 537, 1242, 2014), (3, 7, 7, 21, 52, 112, 196, 454, 766, 1684), (8, 4, 8, 28, 60, 124, 220, 528, 848, 1960)]
Delaney-Dress Symbol <2103.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,6 4 4 3 8>
Dual net hqc1990

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 sqc14188 Im-3m 229 cubic {3,4,4,8,6} 70 (5,5)
Full image sqc14513 Ia-3d 230 cubic {6,4,4,3,8} 140 (5,6)
Full image sqc14246 Pn-3m 224 cubic {4,4,3,8,6} 70 (5,5)

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 UQC5477 *246 (5,5,2) {6,4,4,3,8} {6.6.6.6.6.6}{6.6.6.6}{6.3.3.6}{... Snet sqc14188 Snet sqc14513 Snet sqc14246

Symmetry-lowered hyperbolic tilings