Aesthetic Proportions

Golden section in mathematics, art and design

• The appeal of numbers
  • Numbers in history
  • Pythagorean aesthetics, ratio, commensurability, arithmetic and geometric means
  • Platonic aesthetics, Platonic solids, regular polotypes
  • Irrational numbers and ratios, Hippasus of Metapontum, Aristotle
• Proportion in mathematics
  • Golden ratio, Stoicheia, Euclid
  • Fibonacci, Fibonacci number, Johannes Kepler, Jacques Binet, Martin Ohm
  • Arithmetic and geometric progressions, Pythagorean triple
  • Random Fibonacci sequence
• Proportion in art
  • Polykleitos, Pierro della Francesca, Luca Pacioli, Divina proportione
  • Synthetic cubism, Juan Gris
• Proportion in design
  • Body proportions, Vitruvian man, Leonardo da Vinci
  • Proportion in architecture, Vitruvius
  • Mathematics and architecture, Bauhaus, Modulor, Le Corbusier

Discussion

• Sequences (World of Mathematics)
• The Magic of Fibonacci Numbers (Arthur Benjamin)
• Fibonacci Numbers and the Golden Section (Ron Knott)
• The Golden Ratio & Fibonacci Numbers: Fact versus Fiction (Keith Devlin)
• Wau: The Most Amazing, Ancient, and Singular Number (Vi Hart)
• Grammars for Generative Art I–III (Mikael Hvidtfeldt Christensen)

Assignment

Context-free graphics

Cables – CInk 2 – Context Free – Dwitter – Eisenscript – Generate – Generate/Processing – HYDRA – Konte – LiveCodeLab – OpenProcessing – p5.js – Shadertoy – Structure Synth

 

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Complex systems and graftals  ▸