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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: what is the function for a swastica?
Replies: 11   Last Post: Jan 27, 2002 11:31 AM

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Oscar Lanzi III

Posts: 1,223
Registered: 12/12/04
Re: what is the function for a swastica?
Posted: Dec 6, 2001 6:31 PM
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One way to do this is to draw two curves such as

y = +x^11
x = -y^11

or

y = -x^11
x = +y^11

where the first pair bends counterclockwise and the second pair bends
clockwise. In either case, impose the condition |x| <= 1, |y| <= 1, or
x^2 + y^2 <= 2 to limit the size of the swastika and give it reasonable
proportions.

The exponent 11 may be replaced with any odd natural number. The higher
you go the sharper the bends.

--OL

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