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Mathematical Experiment 12

Note: in place of the statement
color = red
you may change it to
color = COLOR(RGB,0.1,0.4,0.3)
etc.

Construct the VRML file displaying the interesection of the parabolid cylinders
z = x^{2} - 1/2
z = - y^{2} + 1/2

Construct the VRML file displaying the interesection of the sphere
(x - 0.3)^{2} + y^{2} + z^{2} = 1
with the cylinder
x^{2} + y^{2} =1.

Construct VRML files illustrating various cross-sections of a cone.

Construct the VRML file displaying the region enclosed by the sphere
x^{2} + (y-1)^{2} + z^{2} = 4
and the cylinder
x^{2} + y^{2} = 1.