Cinema 4D Tutorial - Mandelbrot Set Rig

Published: 02 November 2020
on channel: Pappy's Tutorials

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In this tutorial I will explain how to use a Python node in an Xpresso tag to create a rig for generating and zooming a 3D Mandelbrot Set.

Index:
The Basics: 1:42
The Basics User Controls: 6:33
About the Mandelbrot Set: 16:19
Mandelbrot Code and Simple Interface: 20:20
Mandelbrot Improved Interface: 44:07
Mandelbrot Timeline Exponential Zoom: 59:46
Mandelbrot Zoom Rectangle: 1:08:19
Last Few Details (save tag preset, etc.): 1:24:17

Ben Sparks explains the Mandelbrot Set on Numberphile
   • What's so special about the Mandelbro...

Images from the Mandelbrot Set
http://www.cuug.ab.ca/dewara/mandelbr...

Mandelbrot Set explorer
http://www.jakebakermaths.org.uk/math...

My tutorial originally ended with the time zoom, but I was inspired to add the rectangle zoom after watching this tutorial by Marc O'Donnel.
Its a good tutorial on creating a Mandelbrot .png file for a material
   • Cinema4D Tutorial - Python Mandelbrot...

#----------------Here's the final Python code----------------
Mandelbrot Set Zoom Xpresso Python node
by: Pappy Bedard
You Tube Channel:    / @pappystutorials

import c4d
from math import sqrt

def get_count(c, thresh, max_steps):
z = complex(0,0) #z.real z.imag
count = 1
while count＜max_steps and sqrt(z.real*z.real + z.imag*z.imag)＜thresh:
z = z*z + c
count += 1
return count

def main():
npt = Obj.GetPointCount()

s = Obj.GetRad()
canvasrad = max([s.x,s.y,s.z])
MandelRad = 2.0
px = Mpx
py = Mpy

BaseScale = MandelRad/canvasrad
Scale = BaseScale*MScale

#this section only needed for zoom rectangle
if ZoomRectOn:
NewScale = Scale * ZoomRectSize/(canvasrad*2)
Newpx = ZoomRectPos.x*Scale + px
Newpy = ZoomRectPos.z*Scale + py
Scale = NewScale
px = Newpx
py = Newpy
Tag[c4d.ID_USERDATA,4] = NewScale/BaseScale
Tag[c4d.ID_USERDATA,5] = Newpx
Tag[c4d.ID_USERDATA,6] = Newpy
Tag[c4d.ID_USERDATA,14] = False

for i in range(npt):
pt = Obj.GetPoint(i)
x = pt.x*Scale + px
y = pt.z*Scale + py
h = get_count(complex(x,y), 2.0, MaxSteps)/float(MaxSteps) *Height
Obj.SetPoint(i,c4d.Vector(pt.x,h,pt.z))

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