Parametric icon

by kitwallace, published

Parametric icon by kitwallace Feb 29, 2016
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Parametric icon by kitwallace is licensed under the Creative Commons - Attribution license.

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339Views 134Downloads Found in Math Art


Uses the two parametric equations

x = cos(a*t) - pow(cos(b*t),j)
y = sin(c*t) - pow(sin(d*t),k)

to construct 6-parameter icons extruded to 3D

This uses the code for graphing general functions from http://www.thingiverse.com/thing:1376715

The functions are included in https://en.wikipedia.org/wiki/Parametric_equation under 'Sophisticated equations' which shows some explorations of this parametric space for low j and k.

For the printed icons, the values are


Fractional values of a-d will require additional cycles to complete the graph.

The number of possible combinations is in the order of millions, so this could be a bit of a timepit.

I would love to know the proper name for this set of equations.

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