4 citations · 5 across the 8 of their papers we have counts for
9 papers
Computational Evidence Against Quadratic-Cubic Factorization for the Second Cuboid Quintic
Valery Asiryan, Randall L. Rathbun
Let be Sharipov's even monic degree- second cuboid polynomial depending on coprime integers . Writing as a quintic in $t^{2…
Some spherical coverings on S2 and their algebraic numbers
Randall L. Rathbun
Spherical coverings on the S2 sphere and their algebraic numbers are given for the putatively optimal global solutions for some n-congruent spherical caps with minimal radius to co…
Some spherical codes in S2 and their algebraic numbers
Randall L Rathbun, Wesley JM Ridgway
The first 195 spherical codes for the global minima of 1 to 65 points on S2 have been obtained for 3 types of potentials: logarithmic, Coulomb, called the Thomson problem, and the…
Classifying Diophantine parallelepipeds
Randall L. Rathbun
By examining the 3 surface angles which exist at any of the 8 vertices of a Diophantine parallelepiped, and classifying them by the appearance of a right angle, it is discovered th…
Some new parameterizations for the Diophantine bi-orthogonal monoclinic piped
Randall L. Rathbun
The bi-orthogonal monoclinic Diophantine parallelepiped is introduced, then the s-parameters and their governing equation for the bi-orthogonal monoclinic Diophantine parallelepipe…
Four integer parametrizations for the monoclinic Diophantine piped
Randall L. Rathbun
Four integer parametrizations for the bi-orthogonal monoclinic Diophantine parallelepiped are given.