Corpus ID: 115372485

Parametric Solutions for a Nearly-Perfect Cuboid

@article{Meskhishvili2015ParametricSF,
  title={Parametric Solutions for a Nearly-Perfect Cuboid},
  author={Mamuka Meskhishvili},
  journal={arXiv: Number Theory},
  year={2015}
}
  • Mamuka Meskhishvili
  • Published 2015
  • Mathematics
  • arXiv: Number Theory
  • 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

    Publications referenced by this paper.
    SHOWING 1-9 OF 9 REFERENCES
    On Perfect Cuboids
    • 8
    Congruent number problems and their variants
    • 10
    • Open Access
    Perfect Cuboid and Congruent Number Equation Solutions
    • 2
    • Open Access
    The Rational Cuboid Revisited
    • 10
    • Highly Influential
    2918. On Square Sums of Squares
    • 28
    On Certain Rational Cuboid Problems
    • 13
    On certain semiperfect cuboids
    • 1988
    On square sums of squares
    • 1960
    Parametric expressions for a “ nearly - perfect ” cuboid