Napoleon's Theorem Demonstration

This example demonstrates Napoleon's Theorem, which states that the centers of the three equilateral triangles constructed inward on the sides of any triangle form another equilateral triangle. It involves core mathematical concepts such as equilateral triangles, circumcenters, straight lines, area, vectors, and linear functions. The construction uses GeoGebra commands like Polygon, Midpoint, Segment, and Intersect to build the triangles and calculate midpoints and intersections. Suitable for high school and above students to explore geometric theorems and construction techniques.