This research aims to present a simple fixed-point map for solving the equation z^p=x.
Developed a proportional-means construction related to doubling the cube problem.
Utilized geometric iteration techniques to derive the fixed-point map.
Established a straightforward method for calculating p-th roots using the fixed-point approach.
Abstract
A GeometricI teration and Its Residual Fingerprint A proportional-means construction associated with the old problem of doubling the cube leads to a simple fixed-point map for the equation zᵖ=x