h-net: hqc95


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,3,1)
Vertex degrees{4,8}
2D vertex symbol {4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 16, 60, 224, 836, 3120, 11644, 43456), (8, 32, 120, 448, 1672, 6240, 23288, 86912)]
Delaney-Dress Symbol <95.1:4:1 3 4,2 4,1 2 3 4:4,4 8>
Dual net hqc61

Derived s-nets

s-nets with faithful topology

26 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 sqc1635 Fmmm 69 orthorhombic {4,8,4} 6 (3,5)
Full image sqc1871 I4/mmm 139 tetragonal {8,4} 6 (2,3)
Full image sqc1872 Fmmm 69 orthorhombic {4,8} 6 (2,5)
Full image sqc7440 P4/mmm 123 tetragonal {4,8} 12 (2,5)
Full image sqc7544 P42/nnm 134 tetragonal {4,8,4} 12 (3,4)
Full image sqc7415 I4122 98 tetragonal {4,8,4} 12 (3,5)
Full image sqc7441 I4122 98 tetragonal {4,8} 12 (2,6)
Full image sqc7491 I41/acd 142 tetragonal {4,8} 12 (2,3)
Full image sqc7492 I41/acd 142 tetragonal {4,8} 12 (2,3)
Full image sqc7493 Fddd 70 orthorhombic {4,8,4} 12 (3,5)
Full image sqc7552 Fddd 70 orthorhombic {4,8,4} 12 (3,5)
Full image sqc7725 I4122 98 tetragonal {4,8} 12 (2,6)
Full image sqc7726 I4122 98 tetragonal {4,8,4} 12 (3,5)
Full image sqc7813 Ibca 73 orthorhombic {4,8,4} 12 (3,5)
Full image sqc7817 Fddd 70 orthorhombic {4,8} 12 (2,6)
Full image sqc7865 Fddd 70 orthorhombic {4,8} 12 (2,6)
Full image sqc1582 P4222 93 tetragonal {4,8,4} 6 (3,5)
Full image sqc1634 P42/nnm 134 tetragonal {4,8} 6 (2,3)
Full image sqc1681 P4222 93 tetragonal {4,8} 6 (2,5)
Full image sqc1722 Cmma 67 orthorhombic {8,4} 6 (2,5)
Full image sqc1726 P4222 93 tetragonal {4,8} 6 (2,5)
Full image sqc1840 P42/nnm 134 tetragonal {4,8} 6 (2,3)
Full image sqc1860 P4222 93 tetragonal {4,4,8} 6 (3,5)
Full image sqc1869 Cmma 67 orthorhombic {8,4} 6 (2,5)
Full image sqc1907 Cmma 67 orthorhombic {4,8,4} 6 (3,5)
Full image sqc7858 I41/amd 141 tetragonal {4,8,4} 12 (3,4)

s-nets with edge collapse


Derived U-tilings

11 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC61 *2224 (2,3,1) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc1871 Snet sqc7492 Snet sqc1840
Tiling details UQC62 *2224 (2,3,1) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc61 Snet sqc7491 Snet sqc1634
Tiling details UQC416 *22222a (2,5,2) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc7440 Snet sqc7441 Snet sqc1726
Tiling details UQC417 *22222a (2,5,2) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc7176 Snet sqc7725 Snet sqc1681
Tiling details UQC418 *22222b (2,5,2) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc1515 Snet sqc7817 Snet sqc1722
Tiling details UQC419 *22222b (2,5,2) {4,8} {4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc1872 Snet sqc7865 Snet sqc1869
Tiling details UQC3531 *22222a (3,5,2) {4,8,4} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} Snet sqc5689 Snet sqc7415 Snet sqc1582
Tiling details UQC3532 *22222a (3,5,2) {4,8,4} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} Snet sqc5899 Snet sqc7726 Snet sqc1860
Tiling details UQC3533 *22222b (3,5,2) {4,8,4} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} Snet sqc1116 Snet sqc7552 Snet sqc1907
Tiling details UQC3534 *22222b (3,5,2) {4,8,4} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} Snet sqc1635 Snet sqc7493 Snet sqc61
Tiling details UQC6055 *222222a (6,7,2) {4,8,4,8,4,4} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4... Snet sqc7544 Snet sqc7813 Snet sqc7858

Symmetry-lowered hyperbolic tilings