On a sphere that passes through \(n\) lattice points

DOI10.1016/j.ejc.2009.03.034zbMath1186.68507OpenAlexW1984439577MaRDI QIDQ966171

B. E. Eshmatov

Publication date: 27 April 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.03.034

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Lattices and convex bodies (number-theoretic aspects) (11H06)

Related Items (6)

From prima quadraginta octant to lattice sphere through primitive integer operations ⋮ On the characterization of absentee-voxels in a spherical surface and volume of revolution in \({\mathbb Z}^3\) ⋮ Elementary geometry on the integer lattice ⋮ On the polyhedra of graceful spheres and circular geodesics ⋮ On Some Local Topological Properties of Naive Discrete Sphere ⋮ Planar lattices and equilateral polygons

Cites Work

• Is there a circle that passes through a given number of lattice points?
• On a Problem of Steinhaus on Lattice Points
• A One-Sentence Proof That Every Prime p≡1(\mod 4) Is a Sum of Two Squares
• The Lattice Point Covering Theorem for Rectangles
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