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TaraRoys — Visualizing Variations

Published: 2011-08-24 17:24:56 +0000 UTC; Views: 1552; Favourites: 18; Downloads: 71
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Description I was never satisfied with how I explained variations in my tutorial set here: [link] so this is a new attempt to make them less confusing.

A variation works by taking a plane and twisting it into a new shape. You can think of it rather like a rubber sheet- you can take a square rubber sheet, (like the linear variation above) and stretch it into all sorts of configurations, or even tear a hole in it (like the spherical variation above. The cross between the spherical and the linear is like the rubber sheet halfway between the flat sheet and the spherical sheet, which is basically the sheet flipped inside out.

Here is an animation of the process: [link]

Many thanks to paxinum for rendering these frames for me with his lovely fractal flame renderer. You can see his stuff here:
[link]

The fractals I used to make this are below:








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Comments: 5

zephyrtronium [2011-08-24 19:24:54 +0000 UTC]

I would like to stretch a rubber square through an arbitrary Mobius transformation.

👍: 0 ⏩: 1

TaraRoys In reply to zephyrtronium [2011-08-25 01:44:39 +0000 UTC]

Sounds like fun to me!

👍: 0 ⏩: 0

TsukinoHikari20 [2011-08-24 17:37:14 +0000 UTC]

WHOA, really good job

👍: 0 ⏩: 0

fractal2cry [2011-08-24 17:27:10 +0000 UTC]

ty

👍: 0 ⏩: 0

SuicideBySafetyPin [2011-08-24 17:26:36 +0000 UTC]

omg!!!!!!!!!!!! this is awesome!

👍: 0 ⏩: 0