Inner Space
3d space representation from 2d complex plane sections
/ isaacm0r
http://myzeta.125mb.com/3D
the mandelbrot set is:
f(a+ib) = (a+i*b)^2 + C where -2 ‹ a ‹ +2 , -2 ‹ b ‹ +2
the set in the video is:
f(a+ib) = (v(a)+i*v(b))^(-4) + C where -15 ‹ a ‹ +15 , -15 ‹ b ‹ +15
v(x) is a special function
https://i.ibb.co/pJG41zv/Plane1.png
both functions are doing the same iteration process that will result an image in the same way!
the mandelbrot gives an image of one big section
and my function generates sections (plural!)
and those "sections" represents a 3d model as i shown that can be done
i used 5 mid sections from f(a+ib)
-15 ‹ a ‹ -5 , -5 ‹ b ‹ +5
-5 ‹ a ‹ +5 , -5 ‹ b ‹ +5
+5 ‹ a ‹ +15 , -5 ‹ b ‹ +5
-5 ‹ a ‹ +5 , +5 ‹ b ‹ +15
-5 ‹ a ‹ +5 , -15 ‹ b ‹ -5
and one more section from f(a-ib)
-5 ‹ a ‹ +5 , -5 ‹ b ‹ +5
and this is without quaternion/Spherical coordinate system