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A Perfect Cuboid is a Chebychev-Pell Equation

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A Perfect Cuboid is a Chebychev-Pell Equation.
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  A Perfect Cuboid is a Chebychev-Pell Equation by Thomas McClureIIntroductionThis paper is written on A Perfect Cuboid is a Chebychev-Pell Equation.IIA Perfect Cuboid is a Chebychev-Pell Equationhttps!!www.academia.edu!"#$%&###!a'fourth'equation  a fourth equationby Thomas McClureIIntroductionThis paper is written on a fourth equation.IIa fourth equationkermit@polaris.net [Unsolvedroblems! "Unsolvedroblems@yahoo#roups.com To Unsolvedroblems@yahoo#roups.com $ow when we introduce a fourth equation% b&' ( c&' ) *&' a perfect cuboid is fully defined. It remains to plu+ in the parameteri,ations for b-c and *- and then find '" non ,ero values to make the left side actually equal the ri+ht side. Can it be done If so! one has found a perfect cuboid. *lternatively! if one can prove it can/t be done! no perfect 0uboid can e1ist.0ello Mark. Can you send to me the e1panded version of b-c- and * -2 made by substitutin+ in your parametri,ed formulas for b- c- and * Thank you3ermit   44.454.444 0osted by6 kermit@polaris.netmark.underwood@sympatico.ca [Unsolvedroblems!  "Unsolvedroblems@yahoo7roups.comToUnsolvedroblems@yahoo7roups.com   https%88www.academia.edu85949:4';8Chebyshev<polynomials Let A = 1b^2 + c^2 = A^2then n=1b^2 + n c^2 = 1is a Chebychev-Pell Equation.The solutions for b1!2!"! ...# an$ n1!2!%! ...# are1^2 + 1 c^2 = 1c = &2^2 + 1 c^2 = 1c = &" = & 'o$ ""^2 + 1 c^2 = 1c = &( = &2 = & 'o$ 2an$ the sa'e for n1!2!%! ...#)))ConclusionThis *a*er is ritten on A Perfect Cuboi$ is a Chebychev-Pell Equation.
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