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Easter Egg Maths

April 20, 2011

Mathspig can’t stop thinking about EASTER EGGS.

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How do you do you  graph  an Easter Egg?

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Fortunately, Jurgen Koller @ the fab mathematische-basteleien website has already solved the problem.

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Start with an Oval.

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To change it to an egg shape multiply  y or y² by  t(x), so that y becomes larger on the right side of the y-axis and smaller on the left side.

y(x=0) must not be changed. 

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The equation of the ellipse:

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e.g. x²/9+y²/4=1

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BECOMES

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x²/9+y²/4*t(x)=1.

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Three examples:

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Now plot in chocolate paint and eat graph. Yum!!!


According to Jurgen Koller, Don M. Jacobs, M.D, Daly City, USA developed a nice egg shape by changing the circle equation x²+y²=1 a little: x² + [1.4^x*1.6y]² = 1.

The egg equation is an exponential equation of type t3 above. This shows this conversion:

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Thanks, Jurgen. I wonder if he’s an Egghead!!!!!!

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