Curvature of the Mind

Tag: generative art

  • A Pencil of Circles

    A Pencil of Circles

    This is what I was aiming for with the post from the other day. It’s interesting, but doesn’t have quite the same punch as the “error” version. Related Images:

  • Happy Accident #2

    Happy Accident #2

    I had an error with the length function, but I really like the results. Related Images:

  • Chaos #1

    Chaos #1

    I’m starting a new series based on chaotic dynamical systems. Related Images:

  • HTML5 Canvas Image Effects

    HTML5 Canvas Image Effects

    It helps when you actually upload the page for your demos.  One of the down sides of scheduling posts before finishing them is that you might publish prematurely. This is the first page I put together to play around with the combining the canvas and file upload controls.  The page works by loading up the…

  • Nothing fancy: Winter bubbles

    Nothing fancy: Winter bubbles

    My inspiration board on pinterest has been filling up, so I wanted to take a few hours to whip up something quick. I really liked the simplicity of winter trees. I didn’t want to do a direct copy, so this is my riff on the composition. Related Images:

  • Gravitational slingshots

    Gravitational slingshots

    In my last few posts, I’ve been trying to characterize different potentials through the shapes of their orbits (gravitational, harmonic, lorentz). In the middle of it, I came across a post on bad astronomy about gravitational slingshots. I figured it would be a perfect opportunity to use these images to show the effect in a…

  • Central force images #2

    Central force images #2

    This is the second in a series profiling the solutions to common central force fields from physics. Check out the the first one on the Newtonian gravitational force field. These are even more plain than the gravitational well. That’s because these are for the harmonic potential. One of the things that distinguishes this potential is…

  • These aren’t all that pretty

    Any guesses as to what these are? Rather than focus on chaotic dynamics I wanted to see how I could explore the differences between the classical central forces. This one is newtonian gravity. Related Images:

  • Sensitive dependence on initial conditions

    Sensitive dependence on initial conditions

    This next demo highlights the butterfly effect. These curves show the same pendulum as before, this version has the time axis wrapped around the center of the screen and the exponential of the angle as the radius. All the pendulums start at a very similar initial position and for some driving functions they diverge wildly…

  • Another one I just like

    The swarm of cracks just looks nice to me.   Related Images: