The Quadrivium

The four mathematical arts: Arithmetic, Geometry, Music, and Astronomy. Discover the harmony of numbers, shapes, and the cosmos.

The Four Mathematical Arts

Arithmetic

The study of numbers and their properties. The foundation of all mathematical thinking.

• Number theory

• Operations

• Patterns

• Sequences

Geometry

The study of shapes, spaces, and spatial relationships. Understanding the world through form.

• Shapes & figures

• Spatial reasoning

• Proportions

• Constructions

Music

The mathematical study of harmony, rhythm, and proportion. Numbers made audible.

• Harmonics

• Intervals

• Rhythm

• Proportions

Astronomy

The study of celestial bodies and their movements. Mathematics applied to the cosmos.

• Celestial mechanics

• Orbits

• Time measurement

• Navigation

Mathematical Explorations Coming Soon

Discover the beauty of mathematics through interactive tools that bring the Quadrivium to life. From number patterns to geometric constructions, musical harmonies to celestial mechanics.

Number Explorations

Interactive number theory, sequences, and mathematical patterns.

Geometric Constructions

Build shapes, explore proportions, and understand spatial relationships.

Musical Mathematics

Explore harmonics, intervals, and the mathematical foundations of music.

Celestial Mechanics

Model orbits, understand time, and explore the mathematics of the cosmos.