Vince's Corner Takeout

[bplus]

Thumbs up! Very nice mod, Sacred Geometry!

[vince]

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
system

[BSpinoza]

.... this is also known as "bifurcation diagram":

https://en.wikipedia.org/wiki/Bifurcation_diagram

[bplus]

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...

[vince]

Chaotic Scattering

QBJS version nice as ever, thanks dbox.  (keys 'w' and 's' instead of _mousewheel for now)

QBJS Chaotic Scattering

[aurel]

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
system

[bplus]

Well I guess it goes by many names, but is there an application for it? Perhaps something needing GUI or perhaps a Boggle Helper?

[aurel]

application for it?
is this a joke he he...
it is just simple fractal i think?

[vince]

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.

[BSpinoza]

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/...istic-map/