Solving quintic equations by two-fold origami
Yasuzo Nishimura
Abstract
Yasuzo Nishimura
Abstract
Abstract It is known that a general quintic equation cannot be solved by an ordinary origami construction. Alperin and Lang showed that three simultaneous folds leads to a solution of the general quintic equation. In this paper we improve their result and show that two simultaneous folds are sufficient to solve the general quintic equation.
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Abstract It is known that a general quintic equation cannot be solved by an ordinary origami construction. Alperin and Lang showed that three simultaneous folds leads to a solution of the general quintic equation. In this paper we improve their result and show that two simultaneous folds are sufficient to solve the general quintic equation.
Key concepts: Quintic function, Mathematics, Fold (higher-order function), Mathematical analysis, Computer science, Physics, Nonlinear system, Programming language