Math Art

[gurthbruins]

Bananas


22i Heels


22j Rounded2


22L Draped Loops


22L Lassoo


Comments:
These pictures depict collections of solid (3D) mathematically defined shapes.

For instance, the shapes in "Lassoo" are generated by the formulae
nx = x*x* Abs(x) - y*y - z*z + xad
ny = y*y - Abs(z) * 2 + yad
nz = z*z - Abs(x) * 2 + zad
x = nx + 1.3 : y = ny + 1.3 : z = nz + 1.3

where x, y, z are the co-ordinates of the points in the solid.
That's a rough description of the process: it would need more elaboration to be properly understandable.

[gurthbruins]

Currently I am drawing these pictures at the rate of about one per day.

The most complete collection of my recent pictures may be seen at DietExperiments.yolasite.com , page "Fractals 2012", which is kept up-to-date on a weekly basis.

[withinsilence]

The pictures are interesting as there is much the mind can make out of them but I have not a clue as to how they're made? haha

[gurthbruins]

I don't understand myself how these equations (which I try out more or less just at random) can produce all these shapes!

That 's what fascinates me - I don't know what to expect from an idea for an equation, and I can't wait to see what it will produce!