What happens when one million numbers follow just two simple geometric rules?

Geometry of Repdigits is a mathematical animation exploring how a sequence of integers can generate an intricate geometric pattern through circular arcs.

Starting with the number 2, each integer determines the direction of the next arc:

• Ordinary numbers: +90° rotation

• Repdigits: −45° rotation

Repdigits are numbers whose digits are all identical, such as 11, 22, 33, 111, 222, and 999.

Among the integers from 2 to 1,000,000, exactly 45 are repdigits.

White arcs represent ordinary numbers, while magenta arcs highlight the repdigits. As the sequence progresses, simple deterministic rules produce an increasingly intricate geometric structure.

The animation was created using Python, NumPy, Matplotlib, and FFmpeg.

This project explores the connection between number patterns, computational geometry, and mathematical visualization.