articles

Long-form explorations of mathematical ideas that go beyond the curriculum. Some articles are free to read; others require a subscription.

Exploring permutations where nothing stays in its original place.

Continuing the exploration of derangements and their properties.

Beautiful relationships between arctangent values.

A journey through these fascinating curves and their properties.

An introduction to solving equations involving functions.

A classic problem with surprising mathematical structure.

The beautiful mathematics behind spirograph patterns.

A powerful technique for trigonometric integration.

Finding gradients and tangents using polynomial factorization.