Waves, Roses, Hearts, and Butterflies: The Transcendental Curves
When mathematicians moved beyond polynomials — into sines, cosines, and exponentials — they unlocked a new world of curves. Unlike...
Welcome to Psychedelic Canvas Dreams
Explore interactive digital art and psychedelic visual experiences
Latest Posts
The Forgotten Curves: From Ancient Greek Angle-Trisectors to Theodorus' Spiral
Not every famous curve is a household name. Some were invented to solve a specific ancient problem and then forgotten....
The Cycloid Family: When Circles Roll, Mathematics Unfolds
What shape does a point on a rolling wheel trace? The answer — the cycloid — sparked one of the...
Reversing Hexagon Spirals
Five outward spirals radiate from a single centre, each tracing a hexagon that expands step by step. The curvature of...
From Conic Sections to Rolling Circles: Eight Curves That Changed Geometry
Every curve tells a story. Some were carved into sand by Greek geometers slicing cones with planes; others emerged from...
Algebraic Curiosities: Twelve Strange Curves and the Mathematicians Who Found Them
Between the 17th and 19th centuries, mathematicians discovered a menagerie of curves that defied intuition: loops that cross themselves, shapes...
A Spiral Menagerie: Ten Ways to Wind Your Way to Infinity
From the shell of a nautilus to the sweep of a hurricane, spirals are nature’s favourite curve. But not all...
Animated Spiraling Hexagons
Seven hexagons — one at the centre and six orbiting it — each filled with chasing polygons that spiral endlessly...
Hypotrochoid Explorations
A hypotrochoid is the curve traced by a point attached to a circle rolling inside a larger fixed circle. It’s...
Welcome to Psychedelic Canvas Dreams
Welcome to Psychedelic Canvas Dreams — a space for exploring generative art, interactive canvas experiments, and visual mathematics.