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math.NTFeb 9, 2015
7
citations (OpenAlex)
authors
  • Mamuka Meskhishvili
arXiv abstractPDF
paper

Parametric Solutions for a Nearly-Perfect Cuboid

arXiv:1502.02375

Abstract

We consider nearly-perfect cuboids (NPC), where the only irrational is one of the face diagonals. Obtained are three rational parametrizations for NPC with one parameter.

References in corpus (1)

  • Perfect Cuboid and Congruent Number Equation Solutions

Cited by in corpus (5)

  • Asymptotic estimates for roots of the cuboid characteristic equation in the linear region
  • A strategy of numeric search for perfect cuboids in the case of the second cuboid conjecture
  • Reverse asymptotic estimates for roots of the cuboid characteristic equation in the case of the second cuboid conjecture
  • A note on invertible quadratic transformations of the real plane
  • A fast modulo primes algorithm for searching perfect cuboids and its implementation
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