An incomplete attack on the upper bound of the unit distance problem
Fuente:
arXiv
Saved in:
| Main Author: | Senger, Steven |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
A sharp point-sphere incidence bound for $(u, s)$-Salem sets
by: Senger, Steven, et al.
Published: (2026)
by: Senger, Steven, et al.
Published: (2026)
Bounds on distinct and repeated dot product trees
by: Autry, Aaron, et al.
Published: (2024)
by: Autry, Aaron, et al.
Published: (2024)
Variance of the distance to the boundary of convex domains in $\mathbb{R}^{2}$ and $\mathbb{R}^{3}$
by: Fletcher, Alastair N., et al.
Published: (2024)
by: Fletcher, Alastair N., et al.
Published: (2024)
The number of inscribed and circumscribed graphs of a convex polyhedron
by: Aliyev, Yagub N.
Published: (2023)
by: Aliyev, Yagub N.
Published: (2023)
A Ten-Face Non-Edge-Sharing Wing Set on the Regular Icosahedron and a Decagonal Equatorial Balance
by: Jeon, YoungJune
Published: (2026)
by: Jeon, YoungJune
Published: (2026)
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)
More unit distances in arbitrary norms
by: Greilhuber, Josef, et al.
Published: (2024)
by: Greilhuber, Josef, et al.
Published: (2024)
On the intrinsic geometry of polyhedra: Convex polygon coordinates
by: Romanowska, Anna B., et al.
Published: (2026)
by: Romanowska, Anna B., et al.
Published: (2026)
Lattice triangles whose centers are lattice points
by: Aebi, Christian, et al.
Published: (2026)
by: Aebi, Christian, et al.
Published: (2026)
Tiling the Sphere with Regular Polygons
by: Luk, Hoi Ping, et al.
Published: (2025)
by: Luk, Hoi Ping, et al.
Published: (2025)
The Perimeter Winternitz Theorem in a Triangle
by: Berele, Allan, et al.
Published: (2026)
by: Berele, Allan, et al.
Published: (2026)
On the Erdős distance problem
by: Agama, Theophilus
Published: (2020)
by: Agama, Theophilus
Published: (2020)
New lower bound for the optimal congruent geodesic ball packing density of screw motion groups in $\mathbf{H}^2\!\times\!\mathbf{R}$ space
by: Yahya, Arnasli, et al.
Published: (2024)
by: Yahya, Arnasli, et al.
Published: (2024)
Rigidity of convex hypersurfaces, Rigidity of convex hypersurfaces in multidimensional spaces of constant curvature
by: Borisenko, Alexander A.
Published: (2024)
by: Borisenko, Alexander A.
Published: (2024)
Local rigidity of convex hypersurfaces in spaces of constant curvature
by: Borisenko, Alexander A.
Published: (2025)
by: Borisenko, Alexander A.
Published: (2025)
Holey Hyperbolic Polyforms
by: Eldridge, Summer, et al.
Published: (2026)
by: Eldridge, Summer, et al.
Published: (2026)
Pál's isominwidth inequality for ball convex bodies in planes of constant curvature
by: Fodor, Ferenc, et al.
Published: (2026)
by: Fodor, Ferenc, et al.
Published: (2026)
Convexity of Picture Fuzzy Multisets
by: Sangodapo, Taiwo O.
Published: (2026)
by: Sangodapo, Taiwo O.
Published: (2026)
Rigidity of polytopes with edge length and coplanarity constraints
by: Himmelmann, Matthias, et al.
Published: (2025)
by: Himmelmann, Matthias, et al.
Published: (2025)
Farey graphs and geodesic expansions of complex continued fractions
by: Nakada, Hitoshi, et al.
Published: (2026)
by: Nakada, Hitoshi, et al.
Published: (2026)
When Grünbaum meets Poncelet -- Infinite Classes of Movable $n_4$ Configurations
by: Berman, Leah Wrenn, et al.
Published: (2024)
by: Berman, Leah Wrenn, et al.
Published: (2024)
Explicit Constructions for Poncelet Polygons
by: Berman, Leah Wrenn, et al.
Published: (2024)
by: Berman, Leah Wrenn, et al.
Published: (2024)
Geodesic ball packings generated by rotations and monotonicity behavior of their densities in $\mathbf{H}^2\!\times\!\mathbf{R}$ space
by: Yahya, Arnasli, et al.
Published: (2023)
by: Yahya, Arnasli, et al.
Published: (2023)
Point sets avoiding near-integer distances
by: Goenka, Ritesh, et al.
Published: (2026)
by: Goenka, Ritesh, et al.
Published: (2026)
Progress in Invariant and Preserving Transforms for the Ratio of Co-Linear Points in the Desargues Affine Plane Skew Field
by: Zaka, Orgest, et al.
Published: (2022)
by: Zaka, Orgest, et al.
Published: (2022)
The Stress-Flex Conjecture
by: Connelly, Robert, et al.
Published: (2024)
by: Connelly, Robert, et al.
Published: (2024)
A class of explicit solutions for the Fermat problem for tetrahedra
by: Zachos, Anastasios N.
Published: (2024)
by: Zachos, Anastasios N.
Published: (2024)
Exploring quaternion framework for subluminal to superluminal space transformations in particle dynamics
by: Chanyal, B. C., et al.
Published: (2025)
by: Chanyal, B. C., et al.
Published: (2025)
The inverse problem of convex polygon coordinates
by: Romanowska, A. B., et al.
Published: (2023)
by: Romanowska, A. B., et al.
Published: (2023)
Self-affine quadrangles
by: Richter, Christian, et al.
Published: (2025)
by: Richter, Christian, et al.
Published: (2025)
Recognition of near-duplicate periodic patterns by continuous metrics with approximation guarantees
by: Anosova, Olga, et al.
Published: (2022)
by: Anosova, Olga, et al.
Published: (2022)
Two-sided bounds for dihedral angle sums of path and 4-ball tetrahedra
by: Korotov, Sergey, et al.
Published: (2026)
by: Korotov, Sergey, et al.
Published: (2026)
Symmetrizations of Ball-Bodies
by: Artstein-Avidan, Shiri, et al.
Published: (2026)
by: Artstein-Avidan, Shiri, et al.
Published: (2026)
Invariant and Preserving Transforms for Cross Ratio of 4-Points in a line on Desargues Affine Plane
by: Zaka, Orgest, et al.
Published: (2022)
by: Zaka, Orgest, et al.
Published: (2022)
Four cross-ratio maps sets of Points and their Algebraic Structures in a line on Desargues Affine Plane
by: Zaka, Orgest
Published: (2025)
by: Zaka, Orgest
Published: (2025)
Cross Ratio Geometry Advances for Four Co-Linear Points in the Desargues Affine Plane-Skew Field
by: Zaka, Orgest, et al.
Published: (2022)
by: Zaka, Orgest, et al.
Published: (2022)
Self-affinity of discs under glass-cut dissections
by: Richter, Christian
Published: (2024)
by: Richter, Christian
Published: (2024)
Generalization of the Apollonius theorem for simplices and related problems
by: Vrahatis, Michael N.
Published: (2024)
by: Vrahatis, Michael N.
Published: (2024)
Principal Values and Principal Subspaces of Two Subspaces of Vector Spaces with Inner Product
by: Risteski, Ice B., et al.
Published: (2025)
by: Risteski, Ice B., et al.
Published: (2025)
On separability in discrete geometry
by: Bezdek, Károly, et al.
Published: (2024)
by: Bezdek, Károly, et al.
Published: (2024)
Similar Items
-
A sharp point-sphere incidence bound for $(u, s)$-Salem sets
by: Senger, Steven, et al.
Published: (2026) -
Bounds on distinct and repeated dot product trees
by: Autry, Aaron, et al.
Published: (2024) -
Variance of the distance to the boundary of convex domains in $\mathbb{R}^{2}$ and $\mathbb{R}^{3}$
by: Fletcher, Alastair N., et al.
Published: (2024) -
The number of inscribed and circumscribed graphs of a convex polyhedron
by: Aliyev, Yagub N.
Published: (2023) -
A Ten-Face Non-Edge-Sharing Wing Set on the Regular Icosahedron and a Decagonal Equatorial Balance
by: Jeon, YoungJune
Published: (2026)