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Creating a Spherical Stencil
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Okay, so I've got a little art project I'm working on, the basic design for which I've laid out in 2-D in Illustrator. The real-world result, however, involves the use of spheres, on which I'll be painting letters. Here's basically what I mean: [img]http://www.wesleytreat.com/attic/sphere_m_01.gif[/img] What I'd really like to be able to do is print out each letter on a full-sheet label, cut it into a stencil, stick it onto the sphere, and spray. Of course, a flat print does not a sphere make. So, I'm trying to figure out a way to create an [url=http://www.cs.ucla.edu/~kohler/z/icsilogo/isf-n9.png]interrupted sinusoidal projection[/url] for each letter, which I can cut out and lay onto the sphere. (Each letter will appear twice, by the way, once on each hemisphere.) I realize, of course, that I'm starting with a flat image to begin with, which introduces a distortion problem when it's translated into a sphere. Each letter would appear more like this in real-life: [img]http://www.wesleytreat.com/attic/sphere_m_02.gif[/img] But I'm having trouble wrapping my head around exactly what I need to do to get the final result. I was hoping maybe one of you mathletes could help out. Or maybe someone knows how to do this in a 3-D program. [url=http://www.roadsideresort.com/][img]http://www.wesleytreat.com/events/asylum/sig_wtlogo_events_01.gif[/img][img]http://www.wesleytreat.com/events/asylum/sig_events_01.php[/img][/url]
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