I created this visualization with my upcoming iPad/iPhone app called 'superformula'. It lets you conveniently mine the 12-dimensional parameter space of supershapes.
It's a spherical mapping of two superformula equations.
The parameter sets I used are:
m=9.19 a,b=1.07,0.92 n=3.19,3.31,1.92
m=7.14 a,b=1.05,0.93 n=0.53,0.37,0.46
More info at stolk.org/superformula/
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