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+---- Thread: Vince's Corner Takeout (/showthread.php?tid=270)
RE: Vince's Corner Takeout - bplus - 06-07-2022
Thumbs up! Very nice mod, Sacred Geometry!
RE: Vince's Corner Takeout - vince - 07-13-2022
Logistic map
Code: (Select All)
deflng a-z
dim xx as double, uu as double
screen 12
for u=0 to 640
uu = 2.8 + 1.2*u/640
for x=0 to 480
xx = x/480
for i=0 to 500
xx = uu*xx*(1 - xx)
next
pset(u, 480*(1 - xx))
next
next
sleep
systemRE: Vince's Corner Takeout - BSpinoza - 07-14-2022
.... this is also known as "bifurcation diagram":
https://en.wikipedia.org/wiki/Bifurcation_diagram
RE: Vince's Corner Takeout - bplus - 07-14-2022
Thanks @BSpinoza, I was trying to remember the name of this old classic. It was the first thing discussed in Chaos Theory way back in ... then the Lorenz Attractor then...
RE: Vince's Corner Takeout - vince - 08-11-2022
(06-01-2022, 09:05 AM)vince Wrote: Chaotic Scattering
QBJS version nice as ever, thanks dbox. (keys 'w' and 's' instead of _mousewheel for now)
QBJS Chaotic Scattering
RE: Vince's Corner Takeout - aurel - 08-11-2022
heh Logistic map ?
why is logistic ?
this fractal is well known as
Feingebaum Tree
Code: (Select All)
deflng a-z
dim xx as double, uu as double
screen 12
for u=0 to 640
uu = 2.8 + 1.2*u/640
for x=0 to 480
xx = x/480
for i=0 to 500
xx = uu*xx*(1 - xx)
next
pset(u, 480*(1 - xx))
next
next
sleep
systemRE: Vince's Corner Takeout - bplus - 08-11-2022
Well I guess it goes by many names, but is there an application for it? Perhaps something needing GUI or perhaps a Boggle Helper?
RE: Vince's Corner Takeout - aurel - 08-11-2022
application for it?
is this a joke he he...
it is just simple fractal i think?
RE: Vince's Corner Takeout - vince - 08-11-2022
https://en.wikipedia.org/wiki/Logistic_map
This was how it was referred to from the book I learned it from. It seems that diagram has a dozen names. I like to think of it as a 1-dimensional mandelbrot (which might not be precise but helps intuition) and it's nice to have reference code handy for plotting such diagrams on the screen.
RE: Vince's Corner Takeout - BSpinoza - 08-12-2022
(08-11-2022, 05:33 PM)aurel Wrote: application for it?
is this a joke he he...
it is just simple fractal i think?
Application?
What is science?
On thing is to find models (and also algorithms) which describes our nature. This helps to understand our world.
https://daniloroccatano.blog/2019/07/13/mitchell-feigenbaum-and-the-logistic-map/