Ant-ics

This article solves a classic interview problem: four ants placed at the corners of a unit square, each walking directly toward the ant ahead. Using polar coordinates and symmetry, the author derives the path as a logarithmic spiral, finding the ants meet at the center after traveling a finite distance. The solution involves a simple differential equation (dr/dθ = -r) and highlights the elegance of polar coordinates over Cartesian. The article also notes the spiral's self-similar fractal nature and links to natural phenomena. While mathematically oriented, it relates to algorithmic thinking and problem-solving techniques relevant to tech interviews and computer science.