2013•Forum MathematicumRequires access

Solving quintic equations by two-fold origami

Yasuzo Nishimura

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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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What this paper is about

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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Available 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.

Key concepts: Quintic function, Mathematics, Fold (higher-order function), Mathematical analysis, Computer science, Physics, Nonlinear system, Programming language

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