Mathematics and art

Concepts

Algorithm
Catenary
Fractal
Golden ratio
Hyperboloid structure
Minimal surface
Paraboloid
Perspective
- Camera lucida
- Camera obscura
Plastic ratio
Projective geometry
Proportion
- Architecture
- Human
Symmetry
Tessellation
Wallpaper group

Fibonacci word: detail of artwork by Samuel Monnier, 2009

Forms

Artworks

Renaissance	Paolo Uccello Piero della Francesca Leonardo da Vinci Vitruvian Man Albrecht Dürer Parmigianino Self-portrait in a Convex Mirror
19th–20th Century	William Blake The Ancient of Days Newton Jean Metzinger Danseuse au café L'Oiseau bleu Giorgio de Chirico Man Ray M. C. Escher Circle Limit III Print Gallery Relativity Reptiles Waterfall René Magritte La condition humaine Salvador Dalí Crucifixion The Swallow's Tail Crockett Johnson
Contemporary	Max Bill Martin and Erik Demaine Scott Draves Jan Dibbets John Ernest Helaman Ferguson Peter Forakis Susan Goldstine Bathsheba Grossman George W. Hart Desmond Paul Henry Anthony Hill Charles Jencks Garden of Cosmic Speculation Andy Lomas Robert Longhurst Jeanette McLeod Hamid Naderi Yeganeh István Orosz Hinke Osinga Antoine Pevsner Tony Robbin Alba Rojo Cama Reza Sarhangi Oliver Sin Hiroshi Sugimoto Daina Taimiņa Roman Verostko Margaret Wertheim

Theorists

Ancient	Polykleitos Canon Vitruvius De architectura
Renaissance	Filippo Brunelleschi Leon Battista Alberti De pictura De re aedificatoria Piero della Francesca De prospectiva pingendi Luca Pacioli De divina proportione Leonardo da Vinci A Treatise on Painting Albrecht Dürer Vier Bücher von Menschlicher Proportion Sebastiano Serlio Regole generali d'architettura Andrea Palladio I quattro libri dell'architettura
Romantic	Samuel Colman Nature's Harmonic Unity Frederik Macody Lund Ad Quadratum Jay Hambidge The Greek Vase
Modern	Owen Jones The Grammar of Ornament Ernest Hanbury Hankin The Drawing of Geometric Patterns in Saracenic Art G. H. Hardy A Mathematician's Apology George David Birkhoff Aesthetic Measure Douglas Hofstadter Gödel, Escher, Bach Nikos Salingaros The 'Life' of a Carpet

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