How to orthogonaly project a 3d plot to coordinate planes?

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Hi, I created a 3d plot with

parametric_plot3d( (cos(t)^3, sin(t)^3, cos(2*t)), (t, 0, 2*pi))

I looked over at google for some projection() functions but I didn't find much.

Basically what I need to do is orthogonally project that plot onto coordinate planes (x, y, z).

If anyone has any idea or an approximate algorithm, that would be nice.

Edit: is it possible that this is an orthogonal projection to coordinate planes? I'm showing 3 plots, first has z = 0, second has x = 0 and third has y = 0.

show( parametric_plot3d((cos(t)^3, sin(t)^3, 0), (t, 0, 2*pi)) + parametric_plot3d( (0, sin(t)^3, cos(2*t)), (t, 0, 2*pi)) + parametric_plot3d( (cos(t)^3, 0, cos(2*t)), (t, 0, 2*pi)));