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
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.
P. S. Schumacher, The Autopoiesis P. S. Schumacher, The Autopoiesisof Architecture: A New Framework of Architecture, Volume II: A Newfor Architecture, Wiley, 2011 Agenda for Architecture, Wiley, 2012
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.
Creative Systems Theory based on the autopoietic systems theoryA creative process is defined as an autopoietic system whoseelements are discoveries.Creative process is a (re-) production network of discoveries.Each discovery is emerged only when a synthesis of the followingthree 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.
“Creation” asCoupling of Creative, Psychic, and Social Systems Iba, T. (2009) “An Autopoietic Systems Theory for Creativity”, COINs2009.