Aesthetic Transformations

Repetition, parametrization & rhythm of algorithms

• Repetition and recursion
  • Spirolaterals
  • Geometric substitutions, Andrew Glassner
• Transformation and projection
  • Geometric transformations, Mercator projection, loxodrome
  • Pursuit evasion, mice problem, pursuit curve
  • Inversive geometry, circle inversion, Möbius transformation
  • Droste effect, M. C. Escher, Hendrik Lenstra
  • Sampling, aliasing, moiré patterns, line moiré, shape moiré
• Art of randomness
  • Entropy and redundancy
  • Probability distributions
  • Stochastic aesthetics, glitch

Discussion

• Geometry in Art (Hilton Andrade de Mello)
• 10 PRINT CHR$(205.5+RND(1)); : GOTO 10 (Nick Montfort et al.)
• Dimensions and Distortions (World of Mathematics)
• Digital Legacies (Manfred Mohr)
• Math is Forever (Eduardo Sáenz de Cabezón)
• The Tilings of Truchet (Guillaume Pelletier-Auger)
• Zdeněk Sýkora Obituary (Christopher Masters)

Assignment

Generated graphics

Arthur – Astrid – ChessMess – CircuitMozaic – Genforms

 

Next topic

Aesthetic proportions  ▸