Aesthetic Functions

From sinus and cosinus to the superformula

• Rhythm of functions
  • Rhythm, plane curves, periodic & trigonometric functions
  • Fourier series, Joseph Fourier
• Kinematic geometry
  • Harmony of pendulum, harmonographs
  • Chladni figures, Lissajous curves & knots, Jules Antoine Lissajous
  • Vortex spirals, butterfly curve
• Differential curves
  • Cycloids, epicycloid, hypocycloid, epitrochoid, hypotrochoid
  • Spirographs, guilloché, security printing
  • Superellipse, superegg, superformula, Piet Hein
• Function graphs
  • Color quantization, graphs

Discussion

• The Nature of Code (Daniel Shiffman)
• Beauty Mathematics: Aesthetics Algorithmics (Frieder Nake)
• Maths and art (+plus Magazine)
• Circles and Pi (World of Mathematics)
• The Harmonograph (Anita Chowdry)
• Dwitter: JavaScript Demos up to 140 Bytes

Assignment

Quantized functions

Desmos Calculator – DronDraw – GrafEq – Heart Generator – PPKSMNVATSN – Quantizer – QuantizeThemAll – RVIN – Visual Functions – WinQuant

 

Next topic

Aesthetic transformations  ▸