Logistic map  (2009-Oct-07 20:49 EDT)

by <>  (2010-Sep-03 7:42 EDT)

Excellent use of etoys to show the mathematical concept of a logistic map and chaos. There is one typo in paragraph 3 - "leave" should be plural. Also the use of the "drawer setup" button could be described.

If there were a description of how the mathematics behind the logisitic map, the significance and intrepretation of the logistic map, and possible modifications a user could try to implement, this would be a great candidate for the featured section.

by <>  (2010-Sep-03 7:42 EDT)

Very nice! And I agree with all of Randy's observations and suggestions.

by <>  (2010-Sep-03 7:42 EDT)

Wow, first I see fractals and now I am move from the predictable to the chaotic, very cool demonstration of what can be done with eToys.

It seems you created new objects in squeak to make this work. (kedama and kedama turtle).

by <>  (2010-Sep-03 7:42 EDT)

I fixed the description. And also make the invisible turtles by default.

mrsteve, the Kedama objects indeed have differetn execution model but it's been part of the Etoys system for some years. Try grabbing "Particles" in the Object Catalog.

by <>  (2010-Sep-03 7:42 EDT)

mrsteve, I forgot to mention that you can do the same simulation without using Kedama. Just make bunch of 1x1 rectangle morphs, and all lined up horizontally. just make everybody calculate the next state for every step. Use colorUnder and store the value into the rectangles' color. Then some color change like saturation in 'color' category and stamp it.

by <>  (2010-Sep-03 7:42 EDT)

yoshiki, thank you for the explanations, right now, my stack overfloweth, but I like the idea of calculating and stamping to visually show the next state, I will use that, thanks.