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

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.

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

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)));