Visualizations

• Mod 𝑛 • Residue Classes • Totients • Prime Cycles • Euler’s Theorem • Möbius Strips • Modular Time • Winding Numbers • Group Theory • Congruence • Residue Fields • Symmetry Modulo Logic • φ(n) = n × ∏(1 − 1/p) • Mod 𝑛 • Residue Classes •

This animated array shows layered rotational harmonics, much like cymatic rings or orbital shells. Each node spins along its ring based on modular velocity, creating an evolving geometric resonance. It’s a metaphor for modular arithmetic, feedback topology, and prime field dynamics — an elegant visual of cyclic symmetries in mathematics and physics.

🔄 Modular Resonance Array

🌀 Modular Spiral Visualizer

Explore patterns in numbers and primes using modular spirals.

This interactive spiral maps numbers using modular coordinates — each dot's angle is based on its modulus, and its distance from center grows with the square root. Prime numbers are marked distinctly, revealing elegant patterns, clusters, and rotational symmetry in number theory. Adjust the modulus to explore hidden structures in the integers.