Curvature of the Mind

Author: Andy Brummer

  • New Technique – Iterated function system interpolation functions

    New Technique – Iterated function system interpolation functions

    I’m working on a technique to create heavy textured straight brush strokes.  There are a number of abstract paintings using textures I’d like to reproduce.  I’m definitely a way off, but I’m liking some of the results so far. What separates these from the fractals I’ve generated in the past is that they have a…

  • This is what additivity gets you

    This is what additivity gets you

    These are all variations on some of my earlier vector field renderings.  These take two different vector fields and show render paths for various sums of the vector fields.  There isn’t anything really surprising in the images, but they are attractive nonetheless. Related Images:

  • All filled in – Animated Generative circles #2

    All filled in – Animated Generative circles #2

    The stills don’t have anywhere near the punch that the ring rendering does, but the nebulous billowy cloud like effect is nice. I’m using the same code to pick the colors, just replacing stroke with fill. I’ll have to keep this in my back pocket and see if there is something I can pull this…

  • Technique work

    Technique work

    I can’t say I’m a huge fan of these, but I’m playing around with colors and the rendering.  Right now they just seem pretty  for pretty’s sake.  I think I’m waiting around for inspiration on how to put these to good use.  These are generative and then just selected to save as an image.  Enjoy!…

  • Another generative geometric fractal experiment

    I’ve got to take a break from the stripey stuff for a little while.  This is circling back to the circles.  I’ve taken the mapping I’ve been using from the inside of a sphere to the set of all circles, lines and points on the plane and combined them.  This is what I was aiming…

  • Ring around

    Ring around

    This is another shot from the quantum superposition viewer.  It’s neat as op art, but I’m still trying to fully grasp the realization I made that this represents an unchanging distribution of a unit of rotational motion.  The state is fixed, but it contains within it an orbiting particle. Related Images:

  • Current project

    Current project

    I’m playing around with quantum mechanical superposition and hydrogen wave functions again.  This time with really simple 2 dimensional renderings.  I’ve been trying to get a grip on some of the basic principles and this is what I’ve got up so far. I’m learning a lot, and there is quite a bit to be gained from playing…

  • My First canvas experiment

    My First canvas experiment

    This is my first experiment with canvas. I was trying to build a better understanding of the geometric uses of Clifford algebras. This little snip-it shows some features of the Clifford triple product in 2 dimensional Euclidean space. Related Images:

  • Twist again – more geometric generative op art

    Twist again – more geometric generative op art

    After fighting all the overlapping issues with second order equations, I switched back to first order and hard coded a single focus point in the equations.  With that change I was able to start doing some more predictable plots with the ring functions. Related Images:

  • Askew Op Art Disk – Where’d the symmetry go?

    Askew Op Art Disk – Where’d the symmetry go?

    The same equations were used to generate this image as well.  The only difference is the starting point.  Instead of expanding from the center of the distortion field, the starting point is displaced a little bit towards the bottom.  This highlights a number of different things. First while the equations are symmetric, the resulting image is…