The Pythagorean Theorem is a fundamental principle in Euclidean geometry that establishes a relationship between the sides of a right-angled triangle.

Quincunx is a five-point arrangement with four points at the corners of a square or rectangle and a fifth at the center. The term originates in ancient Rome as the name of a bronze coin valued at five-twelfths of an as, and it has influenced fields from horticulture and architecture to statistics, cartography, computing, and astrology.

Tessellation, also called tiling, is the covering of a surface by shapes without gaps or overlaps. In mathematics it encompasses periodic and aperiodic tilings in the plane and higher-dimensional honeycombs, with wide applications in art, crystallography, materials science, and computer graphics. Historic examples include Roman mosaics and Islamic geometric ornament, while modern research ranges from Penrose tilings and quasicrystals to GPU tessellation in real‑time rendering.