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Question: Using an implicit color function in Maple.

Question:Using an implicit color function in Maple.

Simon R Langkilde 10 Maple
animate
November 26 2016
2

Hi,

I am trying to animate a ”shadow” on an object in Maple. I have parametrized the following surface

P:=(u,v)->[u,v,-(u^2+v^2)]

and the “sun”

Sun:=t->[5*cos(t),0,5*sin(t)]

Ant thus evaluating the “shadow” to be where the dotproduct

NP.Nsun

Is less the zero, i.e NP.Nsun<0. Where I get the following:

Sha(u,v,t):=-(2*u*cos(t))/sqrt(4*u^2+4*v^2+1)-sin(t)/sqrt(4*u^2+4*v^2+1)

My question is now, am I able to animate the shadow in a likewise manner as shown below

Animate( plot3d, [P(u,v),v=a..b,u=c..d,color=[f(u,v,t)<0]],t=0..T)?

thus using an implicit function as a colorfunction?
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