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# An Exercise In Macro Programing (Chaos Fractal)

#### MillGuy88

##### Aluminum
I've been working on an excercise in macro programing. I'm trying to recreate the growth/chaos fractal as seen in Veritasium's YouTube video and get my machine to plot it out. I'm not a software engineer or computer science person by any stretch of the imagination.

I can get it to plot out the basic growth rate over time, but I am struggling to get it to plot the fractal when I introduce gradually increasing the initial conditions/growth rate.

Instead of bifurcating and becoming chaotic, I can only get it to plot a single value after a set amount of maximum iterations or until it reaches a constant.

I've tried various strategies, but my program just keeps getting more and more complicated without any progress. There must be a simple solution that I'm overlooking.

I would also like to try and create a macro program to plot out the Mandelbrot Set also shown in the same video.

The machine controller I'm using is a TOSNUC 999 which is a Toshiba/Shibaura proprietary controller so it sets macro variables a little differently than Fanuc controllers, but it works essentially the same way.

Below is an example of the basic macro before I get lost.

[V1=40] (START POPULATION)
[V2=100] (MAX POPULATION)
[V3=100] (MAX # OF ITERATIONS)
[V4=0] (GROWTH RATE/X-AXIS)
[V5=4.] (MAX GROWTH RATE)
[V6=.015] (GROWTH RATE INCRIMENTS/RESOLUTION)

[V7=118.] (MACHINE MAX X-AXIS)
[V8=90.] (MACHINE MAX Y-AXIS)

( * DO NOT ALTER * )
N100
[V9=0] (ITERATION COUNT)
[V10=V1/V2] (% OF MAX POPULATION)

[V11=V4*[V10*[1-V10]]] (POPULATION GROWTH)
[V12=0] (SET V12/CONSTANT CHECK)

N101
[V9=V9+1] (ITERATION COUNT)
[V11=V4*[V11*[1-V11]]] (POPULATION GROWTH OVER TIME)

[IF,V11.EQ.0,GO,200]
[IF,V11.EQ.V12,GO,200] (CHECK FOR CONSTANT GROWTH RATE)
[V12=V11] (CHECK FOR CONSTANT)
[IF,V9.EQ.V3,GO,200] (ITERATION CAP CHECK)
[GO,-101]

N200( * PLOTTING * )
[VY=V11*V8]
[VX=[V4/V5]*V7]

G0 X[VX] Y[VY]

[IF,V4.EQ.V5,GO,300] (CHECK FOR GROWTH RATE CAP)
[V4=V4+V6] (INCREASE GROWTH RATE)
[GO,-100] (LOOP BACK WITH NEXT GROWTH RATE)

N300 (END OR MACRO)

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