Comments on: Fibonacci Logos http://www.krazydad.com/blog/2007/04/02/fibonacci-logos/ Interactive art, experimental software toys, screensavers and games by Jim Bumgardner. Thu, 20 Nov 2008 16:11:54 +0000 http://wordpress.org/?v=2.6.3 By: Gemini6Ice http://www.krazydad.com/blog/2007/04/02/fibonacci-logos/#comment-7523 Gemini6Ice Fri, 06 Apr 2007 06:18:37 +0000 http://www.krazydad.com/blog/2007/04/02/fibonacci-logos/#comment-7523 It would be easiest to construct a physical version with each disc having a period that is some multiple of a basic unit, preferable equal to the fastest spinning disc's period. You probably did do this already? I'm imagining the construction in layers, with connected gears on each layer and rods connecting them to the display on the front. The first layer has a size 1 gear and it is connected to the first several layers with more size-1 gears. These connect to size p gears in the layers, for prime numbers p. These size p gears will affect gears in further layers by small ratios so that you can have a rod that rotates every p, 2p, 3p intervals. Then these rods connect to the display on the front. The challenge would be, first, positioning the gears so that the display is how you want it, and, second, deciding how large a number you could reach without the mechanical complexity (and, thus, breakdown risk) becoming too great. For the display discs, I'd suggest a wheel that goes from one color to another, either by gradient or by the cold/warm slants you see on car thermostats. Then cover up all but a small sector of the wheel, or even shape the opening into a circle itself. I want to make sketches now. It would be easiest to construct a physical version with each disc having a period that is some multiple of a basic unit, preferable equal to the fastest spinning disc’s period. You probably did do this already? I’m imagining the construction in layers, with connected gears on each layer and rods connecting them to the display on the front. The first layer has a size 1 gear and it is connected to the first several layers with more size-1 gears. These connect to size p gears in the layers, for prime numbers p. These size p gears will affect gears in further layers by small ratios so that you can have a rod that rotates every p, 2p, 3p intervals. Then these rods connect to the display on the front.

The challenge would be, first, positioning the gears so that the display is how you want it, and, second, deciding how large a number you could reach without the mechanical complexity (and, thus, breakdown risk) becoming too great. For the display discs, I’d suggest a wheel that goes from one color to another, either by gradient or by the cold/warm slants you see on car thermostats. Then cover up all but a small sector of the wheel, or even shape the opening into a circle itself. I want to make sketches now.

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