Chaos and Plants
Published on Nov 18, 2015
Messing with texture and inequalities
MORE DECKS TO EXPLORE
PRESENTATION OUTLINE
Henri Poincaré
- "n" body problem
- two bodies orbiting one another
- rounding created huge changes over time
Photo by estherase
Edward Lorenz
- 1960s
- rediscovered dynamic instability
- weather models
- rounding data produced vastly different results.
Photo by Pedro Moura Pinheiro
Lorenz Attractor - state that dynamic systems evolve to
Strange Attractor - dynamic systems that never balance or find equilibrium
Photo by Pavel P.
Benoit Mandelbrot
- 1970s
- fraction of dimensions
- lorenz attractor
- koch snowflake ... remember?
- self similarity
- fractals are texture
Photo by carmen zuniga
Leonardo's Problem
- Why trees don't splitter
- cross-section of limbs = trunk
Lab
- Find a stick, log, leaf, etc
- Determine its SA or linear measurement
- Is this accurate? Did you account for texture? How could you?
Photo by @Doug88888
Inequalities
- The mouth eats the bigger number 2
- How could you incorporate inequalities into your solution to allow for fractals?
Photo by BryanTsai
How would max and min help you allow for texture in a problem?
2
Photo by José Pestana
