Catalog of Properties of the First Isodynamic Point of a Triangle

TL;DR

This paper surveys known properties of the first isodynamic point of a triangle and introduces new properties discovered through computational methods.

Contribution

It provides a comprehensive survey and adds novel properties of the first isodynamic point identified via computer-aided discovery.

Findings

Compilation of known properties of the first isodynamic point

Introduction of new properties discovered computationally

Enhanced understanding of triangle center characteristics

Abstract

The first isodynamic point of a triangle is one of many notable points associated with a triangle. It is named X(15) in the Encyclopedia of Triangle Centers. This paper surveys known results about this point and gives additional properties that were discovered by computer.