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appears as a triangle along the y-axis, 
appears as an astroid along the z-axis 
and whose z-cross section are formed by ellipse. |
appears as a half-ellipse along the y-axis, 
appears as a circle along the z-axis. 
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| ÃD¥Ø | Construct the Klein bottle with parametric equations
x=(a+cos(u/2) sin(v) - sin(u/2) sin(2v)) cos(u) y=(a+cos(u/2) sin(v) - sin(u/2) sin(2v)) sin(u) z=sin(u/2) sin(v)+cos(u/2) sin(2v) |
Construct the hyperboloid of two sheets given by the equation x^2-y^2-z^2 = 1; |
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| ÃD¥Ø | Construct the smallest sphere that contains the six circles each of which is inscribed in a face of a cube. | Construct the part of the
x^2+y^2+z^2 = 1; lying outside the cylinder (x-.5)^2+y^2 = 1;. |
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| ÃD¥Ø | Construct three tori of the same size each enclosing the other two. | Show that a certain section of a cube consists of a hexagon. |
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| ÃD¥Ø | Construct the surface given by the equation
(x^2+y^2+z^2)^2 = 2*z*(x^2+y^2); |
Construct the surface given by the equation
z = 4-sqrt(abs(x*y)); over the square [-2,2] x [-2,2]. |
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| ÃD¥Ø | Construct the graph of the function
x*y/(x^2+y^2); as (x,y) ranges over the unit disc. |
Construct the solid enclosed by the paraboloids.
z = 5*x^2+5*y^2; and z = 6-7*x^2-y^2; . |
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| Maple Files |
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