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Space-Filling Curve
Joe Greiner

Space-Filling Curve

This is an artificial stereo pair of images, which may be viewable by de-crossing your eyes, as done with free-viewing stereo images. If corresponding elements are more than about 2 1/2 inches apart on screen, you may need to adjust your screen resolution, or abandon free-viewing stereo.

Sixty-four long-grain elbows were cut from 32 donuts turned in red oak, from a tree I felled last December. The finial and the base came from the same tree. There are angular errors in the first and last elbows, resulting in imperfect alignment. The elbows form a space-filling curve, with elbows at the 64 nodes of a cube with 9 sub-cubes. Each glue joint is imperfect in its own way, for a variety of reasons; mostly from limited turning skill, but also from forgetting which sub-assembly joint I had just glued. Finished with EEE & paste wax, before assembly. Final dimensions: 11.5"W x 17"H.

It isn't as bad as the picture portrays. The mis-alignment is less pronounced, as is the overall redness. The stereo effect is exaggerated.

Owing to other objectives, I'm not sure how far I want to chase this particular Muse. There are many possibilities. At minimum, I'd develop a more effective clamping protocol, and use KD wood. And solve the angular error hiccup, which is probably repairable.
I like the way you presented this in stereo. It reminds me of my grad school days, looking at molecular models in the textbooks. They were often presented in stereo and you had to unfocus your eyes to see the patterns.

Did you physically rotate the piece and rephotograph it, or was there a software trick involved?
 
Thanks, Andi.

I physically rotated it for separate images; then merged them by brute force. Hence the exaggerated effect. I'd done similar work (pre-digital) on long baselines for aerial and terrestrial photos, without merging for free-viewing (used optical instruments).
 

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