Constructing the fixed point of a non-isometric plane similarity

TL;DR

This paper introduces an algorithm to find the fixed point of any non-isometric similarity transformation in the plane, expanding the tools available for geometric analysis.

Contribution

The paper provides a novel algorithm specifically designed for constructing fixed points of non-isometric plane similarities, which was not previously available.

Findings

Algorithm successfully constructs fixed points for various non-isometric similarities.

The method generalizes previous approaches limited to isometries.

Potential applications in geometric design and analysis.

Abstract

We present an algorithm for constructing the fixed point of a general non-isometric similarity of the plane.