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This might make an interesting wall design for a public space ...

Any comments on how it's done? WFL

Their images are so striking and varied that the kids deserve a chance to try to capitalize on them, so I think the discoverers should decide when and what to publish. (The first one they gave me to color was gosper.org/M91.png .) --rwg

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On 9/11/09, Bill Gosper <gosper@alum.mit.edu> wrote:

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Due to a 2D pattern-generator discovered by two exceptional brothers I'm tutoring: http://gosper.org/p5d1.png . --rwg STRANGE WOMAN TOWN MANAGERS

Here are more nearly equilateral cases, inscribable in a square (http://gosper.org/p10degrb.png) and neatly in a golden rectangle (http://gosper.org/p10e1.png). The latter, at least is a frac-11-tile likely to have a neat spacefill, analogous to Mandelbrot's fill of the Snowflake as a frac-13. --rwg HGB> FYI -- Mercury's orbit was perturbed by just .38 millimeters in the various simulations!! Try *that* on your Lego orrery.

On 9/13/09, rwg@sdf.lonestar.org <rwg@sdf.lonestar.org> wrote:

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This might make an interesting wall design for a public space ...

Here are more nearly equilateral cases, inscribable in a square (http://gosper.org/p10degrb.png) and neatly in a golden rectangle (http://gosper.org/p10e1.png). The latter, at least is a frac-11-tile likely to have a neat spacefill, analogous to Mandelbrot's fill of the Snowflake as a frac-13. --rwg

Gack, no! I don't think these are fac-tiles. A spacefill would require a simultaneous recursion, roughly star = star + 5 arms, arm = star + arm.

Very effective colour scheme on the square-based example!

Thanks! How about http://gosper.org/p10degbr.png ? (If you can't paint good, paint big.) --rwg

I do find this sort of thing more satisfying than the efforts of some abstract figurative artists, who seem to have some similar target in view, but lack the geometrical expertise to hit it accurately.

WFL