On lower bounds of the density of planar periodic sets without unit distances
Fuente:
arXiv
Saved in:
| Main Author: | Tolmachev, Alexander |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Reducing the upper bound for the Borsuk number in $\mathbb{R}^4$ to 8
by: Tolmachev, Alexander, et al.
Published: (2026)
by: Tolmachev, Alexander, et al.
Published: (2026)
No new lower bound for the density of planar Sets avoiding Unit Distances
by: Ruhland, Helmut
Published: (2024)
by: Ruhland, Helmut
Published: (2024)
Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n-$space
by: Yahya, Arnasli, et al.
Published: (2025)
by: Yahya, Arnasli, et al.
Published: (2025)
Quasigeodesics on the Cube
by: MIT CompGeom Group, et al.
Published: (2025)
by: MIT CompGeom Group, et al.
Published: (2025)
More unit distances in arbitrary norms
by: Greilhuber, Josef, et al.
Published: (2024)
by: Greilhuber, Josef, et al.
Published: (2024)
The density of planar sets avoiding unit distances
by: Ambrus, Gergely, et al.
Published: (2022)
by: Ambrus, Gergely, et al.
Published: (2022)
Skeletal Cut Loci on Convex Polyhedra
by: O'Rourke, Joseph, et al.
Published: (2023)
by: O'Rourke, Joseph, et al.
Published: (2023)
Prismatoid Band-Unfolding Revisited
by: O'Rourke, Joseph
Published: (2026)
by: O'Rourke, Joseph
Published: (2026)
Angular constraints on planar frameworks
by: Dewar, Sean, et al.
Published: (2024)
by: Dewar, Sean, et al.
Published: (2024)
Edge-length preserving embeddings of graphs between normed spaces
by: Dewar, Sean, et al.
Published: (2024)
by: Dewar, Sean, et al.
Published: (2024)
Uniquely realisable graphs in polyhedral normed spaces
by: Dewar, Sean
Published: (2025)
by: Dewar, Sean
Published: (2025)
On averaged self-distances in finite dimensional Banach spaces
by: Lakos, Gyula
Published: (2024)
by: Lakos, Gyula
Published: (2024)
On exact covering with unit disks
by: Chun, Ji Hoon, et al.
Published: (2024)
by: Chun, Ji Hoon, et al.
Published: (2024)
Improved Bounds for Point Selections and Halving Hyperplanes in Higher Dimensions
by: Rubin, Natan
Published: (2024)
by: Rubin, Natan
Published: (2024)
An Efficient Regularity Lemma for Semi-Algebraic Hypergraphs
by: Rubin, Natan
Published: (2024)
by: Rubin, Natan
Published: (2024)
Optimal Horoball Packing Densities for Koszul-type tilings in Hyperbolic $3$-space
by: Kozma, Robert T., et al.
Published: (2022)
by: Kozma, Robert T., et al.
Published: (2022)
Homothetic packings of centrally symmetric convex bodies
by: Dewar, Sean
Published: (2020)
by: Dewar, Sean
Published: (2020)
The Complex Illumination Problem
by: Rotem, Liran, et al.
Published: (2024)
by: Rotem, Liran, et al.
Published: (2024)
Covering radii of $3$-zonotopes and the shifted Lonely Runner Conjecture
by: Alcántara, David, et al.
Published: (2025)
by: Alcántara, David, et al.
Published: (2025)
Convex bodies of constant width with exponential illumination number
by: Arman, Andrii, et al.
Published: (2023)
by: Arman, Andrii, et al.
Published: (2023)
Plank theorems and their applications: a survey
by: Verreault, William
Published: (2022)
by: Verreault, William
Published: (2022)
A note on the Erdős conjecture about square packing
by: Baek, Jineon, et al.
Published: (2024)
by: Baek, Jineon, et al.
Published: (2024)
Coloopless zonotopes and counterexamples to the Shifted Lonely Runner Conjecture
by: Blanco, Mónica, et al.
Published: (2026)
by: Blanco, Mónica, et al.
Published: (2026)
Deltahedral Domes over Equiangular Polygons
by: MIT CompGeom Group, et al.
Published: (2024)
by: MIT CompGeom Group, et al.
Published: (2024)
Identifying contact graphs of sphere packings with generic radii
by: Dewar, Sean
Published: (2023)
by: Dewar, Sean
Published: (2023)
Illumination number of 3-dimensional cap bodies
by: Arman, Andrii, et al.
Published: (2025)
by: Arman, Andrii, et al.
Published: (2025)
An improved lower bound to Erdos' problem concerning products of distances for fixed diameter
by: Sothanaphan, Nat
Published: (2025)
by: Sothanaphan, Nat
Published: (2025)
Computing characteristic polynomials of hyperplane arrangements with symmetries
by: Brysiewicz, Taylor, et al.
Published: (2021)
by: Brysiewicz, Taylor, et al.
Published: (2021)
On the uniqueness of collections of pennies and marbles
by: Dewar, Sean, et al.
Published: (2023)
by: Dewar, Sean, et al.
Published: (2023)
On the Erdős distance problem
by: Agama, Theophilus
Published: (2020)
by: Agama, Theophilus
Published: (2020)
On Lines Crossing Pairwise Intersecting Convex Sets in Three Dimensions
by: Rubin, Natan
Published: (2026)
by: Rubin, Natan
Published: (2026)
Signotopes Induce Unique Sink Orientations on Grids
by: Roch, Sandro M.
Published: (2026)
by: Roch, Sandro M.
Published: (2026)
A note on the affine plank conjecture
by: Bakaev, Egor, et al.
Published: (2026)
by: Bakaev, Egor, et al.
Published: (2026)
Rigidity of Koebe Polyhedra and Inversive Distance Circle Packings
by: Bowers, John C., et al.
Published: (2026)
by: Bowers, John C., et al.
Published: (2026)
Spherical coverings and X-raying convex bodies of constant width
by: Bondarenko, A., et al.
Published: (2020)
by: Bondarenko, A., et al.
Published: (2020)
Super Guarding and Dark Rays in Art Galleries
by: MIT CompGeom Group, et al.
Published: (2024)
by: MIT CompGeom Group, et al.
Published: (2024)
Power with Respect to Generalized Spheres and Radical Surfaces in $\mathbf{H}^n$
by: Világi, Áron, et al.
Published: (2026)
by: Világi, Áron, et al.
Published: (2026)
A chiral aperiodic monotile
by: Smith, David, et al.
Published: (2023)
by: Smith, David, et al.
Published: (2023)
An aperiodic monotile
by: Smith, David, et al.
Published: (2023)
by: Smith, David, et al.
Published: (2023)
Rigidity of nearly planar classes of graphs
by: Dewar, Sean, et al.
Published: (2024)
by: Dewar, Sean, et al.
Published: (2024)
Similar Items
-
Reducing the upper bound for the Borsuk number in $\mathbb{R}^4$ to 8
by: Tolmachev, Alexander, et al.
Published: (2026) -
No new lower bound for the density of planar Sets avoiding Unit Distances
by: Ruhland, Helmut
Published: (2024) -
Decomposition method and upper bound density related to congruent saturated hyperball packings in hyperbolic $n-$space
by: Yahya, Arnasli, et al.
Published: (2025) -
Quasigeodesics on the Cube
by: MIT CompGeom Group, et al.
Published: (2025) -
More unit distances in arbitrary norms
by: Greilhuber, Josef, et al.
Published: (2024)