Who said maths is boring? Maths & Art is the field where numbers become pictures — spirographs, fractals, kaleidoscopes and the golden spiral show that the most beautiful patterns in the universe are all built from formulas. In this category you will draw with parametric curves, explore symmetry and reflection, watch recursive fractal trees grow branch by branch, and discover why the golden ratio φ keeps appearing in sunflowers, seashells and galaxies. Every interactive Maths & Art model runs live in your browser, so you can drag a slider and instantly see the shape change. It matters because visual maths turns abstract algebra and geometry into something you can play with, making concepts like infinity, probability and proportion easy to feel and remember — perfect for curious children aged 8 to 14.
Every pattern you see here is created by a mathematical formula — not by an artist!
The number 1.618… appears in art, nature and architecture
This special number — called phi (φ) or the Golden Ratio — appears wherever beauty and efficiency meet. Ancient Greek architects used it. Leonardo da Vinci painted with it. Sunflowers grow with it. Even your credit card is close to this ratio!
Your personal gallery of maths art, saved right in your browser.
Spirographs, tessellations, hyperbolic geometry, and visual mathematics
Mathematical art simulations explore the aesthetic dimension of mathematics through interactive visual construction. Spirograph generators trace hypotrochoid and epitrochoid curves by coupling rotating circles of adjustable radius and offset, producing the infinite variety of Lissajous-like patterns familiar from the classic toy but derived from exact trigonometric equations. Tessellation builders tile the plane with polygons under the 17 wallpaper-symmetry groups, showing why only certain combinations of rotation and reflection can tile without gaps.
Hyperbolic-geometry visualisers render the Poincaré disk and upper-half-plane models where parallel lines diverge and triangle angles sum to less than 180°, making non-Euclidean geometry directly manipulable. Sacred-geometry constructors build Metatron's cube, the Flower of Life, and Platonic solids from compass-and-straightedge steps. These tools serve art students learning projection, mathematicians building geometric intuition, and designers seeking algorithmically generated pattern complexity.
Each simulation in this category is built with accuracy and interactivity in mind. The underlying mathematical models are the same ones used in academic research and professional engineering — just made accessible through a web browser. Changing parameters in real time and observing the results is one of the most effective ways to build intuition for complex scientific and engineering concepts.
Topics and algorithms you'll explore in this category
Common questions about this simulation category
Each Maths & Art simulation on this page turns equations into living pictures you can shape with your own hands. Use an interactive Maths & Art model to trace spirograph curves, fold a kaleidoscope into perfect symmetry, or grow a fractal tree level by level, and you will learn Maths & Art online without any installation. The same geometry powers real-world applications such as computer-generated graphics in films and video games, where fractals build realistic mountains, coastlines and foliage. Drag a slider, change a rule and watch beauty emerge from pure mathematics.