Lamé curve

dirkdeftly · 16th August 2002, 23:04

My newest mathematical project: Figuring out how to make an arbitrary Lamé curve in SSC. Lamé curves, for those who aren't UnConeD, are curves defined by the equation:
|x^n|/a+|y^n|/b=1
Initially I wanted to create the curve voted as the most aesthetically pleasing, where n=e and a/b=golden ratio. But then I realized I'd probably have to have some sort of base equation for it.
The problem is, the base equation I have uses x or y=i, and it gets all the points jumbled up in one place. Ideally I would create it with polar coordinates, but I don't know how...Any ideas?

16th August 2002, 23:04	#1
dirkdeftly Forum King Join Date: Jun 2001 Location: Cydonia, Mars Posts: 2,651	Lamé curve My newest mathematical project: Figuring out how to make an arbitrary Lamé curve in SSC. Lamé curves, for those who aren't UnConeD, are curves defined by the equation: \|x^n\|/a+\|y^n\|/b=1 Initially I wanted to create the curve voted as the most aesthetically pleasing, where n=e and a/b=golden ratio. But then I realized I'd probably have to have some sort of base equation for it. The problem is, the base equation I have uses x or y=i, and it gets all the points jumbled up in one place. Ideally I would create it with polar coordinates, but I don't know how...Any ideas? "guilt is the cause of more disauders than history's most obscene marorders" --E. E. Cummings

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