“Villani’s Squares” is the mathematics module in the Beaconhouse Notion of Academia, thoughtfully designed to challenge high school students with the intricacies and beauty of mathematical concepts. This module invites delegates to dive deep into the world of theorems, puzzles, and practical applications of mathematics. It emphasizes logical reasoning, problem-solving, and innovative thinking, encouraging students to explore mathematics beyond the classroom. The module blends theoretical knowledge with hands-on activities, fostering a dynamic understanding of mathematics. It’s an ideal platform for young mathematicians to test their skills, broaden their perspectives, and appreciate the discipline’s relevance and elegance in solving complex problems.