Surface Command

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Surface[ <Expression>, <Expression>, <Expression>, <Parameter Variable 1>, <Start Value>, <End Value>, <Parameter Variable 2>, <Start Value>, <End Value> ]
Yields the Cartesian parametric 3D surface for the given x-expression, y-expression and z -expression, using two parameter variables within the given intervals [Start Value, End Value].
Example: Let r and R be two positive real numbers: Surface[(R + r cos( u)) cos(v) , (R + r cos( u)) sin(v) , r sin(u ), u, 0, 2 π , v, 0, 2 π] creates the torus generated by a circle of radius r whose center rotates about zAxis at a distance R.


Note:
  • End Value must be greater than or equal to Start Value and both must be finite.
  • x, y and z are not allowed as parameter variables.
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