40. Chaotic Walk
Plotting the dots on the two-dimensional space,
as follows.
θn = 2πxn xn+1 = a xn ( 1 - xn )
s
fo otprint
s
of chao 0. Assigning a starting point and an initial direction.
1. Calculating next value of x and then θ.
2. Turning around at θ angle.
3. Moving ahead a distance L.
4. Drawing a dot (small circle).
5. Repeat from step 1.
The trail left by such a walker is investigated.
K. Shimonishi & T. Iba, "Visualizing Footprints of Chaos", 3rd International Nonlinear
Sciences Conference (INSC2008), 2008
K. Shimonishi, J. Hirose & T. Iba, "The Footprints of Chaos: A Novel Method and
Demonstration for Generating Various Patterns from Chaos", SIGGRAPH2008, 2008
41.
42. The parameter for tuning the finitude
would be
another hidden control parameter of complex systems
d =1 d =8 d =16
irregular
regular d
The parameter for finitude controls the number of possible states,
and, as a result, it controls the system’s behavior.
Iba, T. & Shimonishi, K. (2011), "The Origin of Diversity: Thinking with Chaotic Walk," in Unifying Themes in Complex Systems Volume VIII:
Proceedings of the Eighth International Conference on Complex Systems, New England Complex Systems Institute Series on Complexity
(Sayama, H., Minai, A. A., Braha, D. and Bar-Yam, Y. eds., NECSI Knowledge Press, 2011), pp.447-461.
44. P. S. Schumacher, The Autopoiesis P. S. Schumacher, The Autopoiesis
of Architecture: A New Framework of Architecture, Volume II: A New
for Architecture, Wiley, 2011 Agenda for Architecture, Wiley,
2012
45. Autopoietic System
H. Maturana F. Varela N. Luhmann
(1) Element as Momentary Event
(2) Boundary Reproduction of the System
(3) Element Constitution based on the System
Iba, T. (2009) “An Autopoietic Systems Theory for Creativity”, COINs2009.
46. Creative Systems Theory
based on the autopoietic systems theory
A creative process is defined as an autopoietic system whose
elements are discoveries.
Creative process is a (re-) production network of discoveries.
Each discovery is emerged only when a synthesis of the following
three selection occurs: idea, association, and finding.
《アイデア》 《関連づけ》 《見出す》
Iba, T. (2009) “An Autopoietic Systems Theory for Creativity”, COINs2009.
47. “Creation” as
Coupling of Creative, Psychic, and Social Systems
Iba, T. (2009) “An Autopoietic Systems Theory for Creativity”, COINs2009.