h-net: hqc8


Topological data

Orbifold symbol*245
Transitivity (vertex, edge, ring)(1,1,1)
Vertex degrees{4}
2D vertex symbol {5.5.5.5}
Vertex coordination sequence [(4, 12, 28, 64, 148, 340, 780, 1792, 4116, 9452)]
Delaney-Dress Symbol <8.1:1:1,1,1:5,4>
Dual net hqc4

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 sqc3436 Fmmm 69 orthorhombic {4,4,4,4} 10 (4,5)
Full image sqc3695 I4/mmm 139 tetragonal {4,4,4} 10 (3,3)
Full image sqc3865 I4/mmm 139 tetragonal {4,4,4} 10 (3,3)
Full image sqc9680 P42/nnm 134 tetragonal {4,4,4,4} 20 (4,5)
Full image sqc9474 I4122 98 tetragonal {4,4,4,4} 20 (4,6)
Full image sqc9609 Fddd 70 orthorhombic {4,4,4,4} 20 (4,6)
Full image sqc9610 I41/acd 142 tetragonal {4,4,4} 20 (3,3)
Full image sqc9613 I4122 98 tetragonal {4,4,4,4} 20 (4,6)
Full image sqc9614 Fddd 70 orthorhombic {4,4,4,4} 20 (4,6)
Full image sqc9851 Ibca 73 orthorhombic {4,4,4,4} 20 (4,6)
Full image sqc9880 I41/acd 142 tetragonal {4,4,4} 20 (3,3)
Full image sqc3266 Cmma 67 orthorhombic {4,4,4,4} 10 (4,5)
Full image sqc3435 P42/nnm 134 tetragonal {4,4,4} 10 (3,3)
Full image sqc3696 Cmma 67 orthorhombic {4,4,4,4} 10 (4,5)
Full image sqc3718 P4222 93 tetragonal {4,4,4,4} 10 (4,5)
Full image sqc3864 P42/nnm 134 tetragonal {4,4,4} 10 (3,3)
Full image sqc3875 P4222 93 tetragonal {4,4,4,4} 10 (4,5)
Full image sqc9863 I41/amd 141 tetragonal {4,4,4,4} 20 (4,5)

s-nets with edge collapse


Derived U-tilings

7 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC72 *2224 (3,3,1) {4,4,4} {5.5.5.5}{5.5.5.5}{5.5.5.5} Snet sqc3865 Snet sqc9880 Snet sqc3864
Tiling details UQC73 *2224 (3,3,1) {4,4,4} {5.5.5.5}{5.5.5.5}{5.5.5.5} Snet sqc3695 Snet sqc9610 Snet sqc3435
Tiling details UQC4616 *22222a (4,5,2) {4,4,4,4} {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.... Snet sqc9279 Snet sqc9474 Snet sqc3718
Tiling details UQC4617 *22222a (4,5,2) {4,4,4,4} {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.... Snet sqc9298 Snet sqc9613 Snet sqc3875
Tiling details UQC4618 *22222b (4,5,2) {4,4,4,4} {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.... Snet sqc3090 Snet sqc9614 Snet sqc3266
Tiling details UQC4619 *22222b (4,5,2) {4,4,4,4} {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.... Snet sqc3436 Snet sqc9609 Snet sqc3696
Tiling details UQC6095 *222222a (8,9,2) {4,4,4,4,4,4,4,4} {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.... Snet sqc9680 Snet sqc9851 Snet sqc9863

Symmetry-lowered hyperbolic tilings