Curvature of the Mind

Thoughts from a Recreational Physicist

Some simple geometric fractals

These guys use four transformations with simple rotation parameters.  All I changed is the scaling factor of the two central transformations and their centers.  It shows how the nature and feeling of the image can change dramatically with just a few little parameter changes.

Fancy geometric fractal
Simple nearly symmetric
Diminishing the top scaling emphasizes the edges

Balance the top and bottom and move them closer together
Tightening the bottom and loosening the top looks completely different
moving the bottom transform up changes the overall shape

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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.


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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!









 

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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.

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Bouncing Circle Grid

I’m pleased with the motion on this one.  It’s still just experimentation, but the results are promising.

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Grids of circles

Ooooh, this is getting interesting now.  This shows a grid as the spacing changes from wide to small spacing.

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Circled out

I’ve added a bunch of gyrations onto the circle of circles and set it rotating as well.

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Infinite Flow

In the continuing saga of the stereographic projections is infinite flow.  This rotates the circle around the y axis creating the illusion of continuous flow in one direction.

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Bouncing circles

More of the stereographic circle series.  In this one, the circles are defined by iterating over a circle in 3 dimensional space.  That circle is bouncing up and down in the vertical direction.The changing shape and disappearance come from the circle leaving the interior of the sphere and returning bit by bit.

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More animated Circles

This page is just playing around with linear paths through the circle space.  I’ve tried some more complicated shapes but they quickly get too complicated.

A line passing from the bottom of the sphere to the top point of the sphere.

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