When Mathematics Meets Painting: Fibonacci Geometry, Cubism and Visual Abstraction

TL;DR

This paper investigates how Fibonacci sequence and Golden Ratio principles underpin visual composition and abstraction in painting, linking mathematical geometry with artistic practices from Renaissance to Cubism.

Contribution

It demonstrates that Fibonacci geometry serves as a generative framework influencing visual abstraction and artistic expression across different art movements.

Findings

Fibonacci geometry informs compositional harmony in art.

Cubism reflects recursive geometric principles.

Fibonacci-based structures are central to modern visual abstraction.

Abstract

This paper explores the Fibonacci sequence and the Golden Ratio as organizing principles for visual composition and abstraction in painting. The author shows how recursive proportional systems, long associated with natural growth and aesthetic harmony, inform artistic structure and visual balance. The discussion traces Fibonacci-based geometry from Renaissance art to modern and contemporary practices, with particular attention to Cubism, where fragmentation and multiple viewpoints echo principles of recursion and geometric division. Through selected artistic examples and mathematical insight, the paper demonstrates that Fibonacci geometry functions not merely as a symbolic reference but as a generative framework shaping visual abstraction and artistic expression.