p3.mw

Examples of Animations 

(3) 

 

coordinate systems :  

confocalellip, confocalparab and conical 

> with(plots); -1
 

 

confocalellip 

 

> animate3d(`+`(u, v, t), u = -1 .. 1, v = -1 .. 1, t = -1 .. 1, coords = confocalellip, frames = 70)
 

Plot
 

 

confocalparab 

 

> animate3d(`+`(sin(v), cos(u), ln(t)), u = 1 .. 3, v = 1 .. 4, t = 1 .. 10, coords = confocalparab, frames = 70)
animate3d(`+`(sin(v), cos(u), ln(t)), u = 1 .. 3, v = 1 .. 4, t = 1 .. 10, coords = confocalparab, frames = 70)
 

Plot
 

 

conical 

 

> animate3d(`+`(sin(`*`(Pi, `*`(u))), `*`(u, `*`(t, `*`(cos(`*`(Pi, `*`(v)))))), sin(`*`(Pi, `*`(t)))), u = -1 .. 1, v = -1 .. 1, t = -1 .. 1, coords = conical, frames = 50)
animate3d(`+`(sin(`*`(Pi, `*`(u))), `*`(u, `*`(t, `*`(cos(`*`(Pi, `*`(v)))))), sin(`*`(Pi, `*`(t)))), u = -1 .. 1, v = -1 .. 1, t = -1 .. 1, coords = conical, frames = 50)
 

Plot