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Re: Can you reproduce the 3D graph in the ticalc.org logo?

Frank A. Nothaft
(Web Page)

Yeah.
It said how to somewhere on here at some time...
I'm working on updating QuadForm in a way that could blow some peoples minds...

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7 June 2003, 04:31 GMT


Re: Can you reproduce the 3D graph in the ticalc.org logo?

nyall
(Web Page)

The graph looks like it is symetric around the zaxis: The further you go out from the zaxis the smaller it gets, but it is still wavy, so I think it is an exponentially decreasing sinusoid (or cosinusoid)
To see this in 2d graph y(x) = A*e^(B*x) * cos(C*x)
Pick reasonable values for the Constants.
but instead of x we have distance from the z axis, so replace the xs in the above 2d formula with the distance formula to get:
z(x,y) = A*e^(B*sqrt(x^2+y^2))* cos(C*sqrt(x^2+y^2))
And if you think about it some more the square root operators would not be needed to get radial symetry.
Any other theories?

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7 June 2003, 07:13 GMT


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