h-net: hqc116


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{4,4}
2D vertex symbol {4.6.6.4}{6.6.6.6}
Vertex coordination sequence [(4, 10, 24, 54, 116, 256, 572, 1258, 2760, 6102), (4, 12, 24, 52, 124, 272, 580, 1292, 2888, 6324)]
Delaney-Dress Symbol <116.2:5:1 2 3 5,2 4 5,1 3 4 5:4 6,4 4>
Dual net hqc136

Derived s-nets

s-nets with faithful topology

18 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 sqc466 mou P4/mmm 123 tetragonal {4,4} 5 (2,3)
Full image sqc3847 asv P4/mmm 123 tetragonal {4,4} 10 (2,3)
Full image sqc3856 Fmmm 69 orthorhombic {4,4} 10 (2,4)
Full image sqc3868 Fmmm 69 orthorhombic {4,4} 10 (2,4)
Full image sqc3869 ast Fm-3m 225 cubic {4,4} 10 (2,2)
Full image sqc9843 P4/mmm 123 tetragonal {4,4} 20 (2,4)
Full image sqc9589 I41/acd 142 tetragonal {4,4} 20 (2,3)
Full image sqc9842 I4122 98 tetragonal {4,4,4} 20 (3,5)
Full image sqc9844 I4122 98 tetragonal {4,4,4} 20 (3,5)
Full image sqc9892 Fddd 70 orthorhombic {4,4,4} 20 (3,5)
Full image sqc9893 I41/acd 142 tetragonal {4,4} 20 (2,3)
Full image sqc9899 Fddd 70 orthorhombic {4,4,4} 20 (3,5)
Full image sqc3658 P42/nnm 134 tetragonal {4,4} 10 (2,3)
Full image sqc3833 P4222 93 tetragonal {4,4} 10 (2,4)
Full image sqc3834 P4222 93 tetragonal {4,4} 10 (2,4)
Full image sqc3837 P42/nnm 134 tetragonal {4,4} 10 (2,3)
Full image sqc3848 Cmma 67 orthorhombic {4,4} 10 (2,4)
Full image sqc3863 Cmma 67 orthorhombic {4,4} 10 (2,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

6 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC116 *2224 (2,3,2) {4,4} {4.6.6.4}{6.6.6.6} Snet sqc466 Snet sqc9589 Snet sqc3658
Tiling details UQC117 *2224 (2,3,2) {4,4} {4.6.6.4}{6.6.6.6} Snet sqc3869 Snet sqc9893 Snet sqc3837
Tiling details UQC1713 *22222a (2,4,4) {4,4} {4.6.6.4}{6.6.6.6} Snet sqc3847 Snet sqc9842 Snet sqc3833
Tiling details UQC1714 *22222b (2,4,4) {4,4} {4.6.6.4}{6.6.6.6} Snet sqc3856 Snet sqc9899 Snet sqc3848
Tiling details UQC1715 *22222a (2,4,4) {4,4} {4.6.6.4}{6.6.6.6} Snet sqc9843 Snet sqc9844 Snet sqc3834
Tiling details UQC1716 *22222b (2,4,4) {4,4} {4.6.6.4}{6.6.6.6} Snet sqc3868 Snet sqc9892 Snet sqc3863

Symmetry-lowered hyperbolic tilings