Surface Command

Surface[ <Expression a>, <Expression b>, <Expression c>, <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 a, y-expression b and z -expression c, using two parameter variables within the given intervals [Start Value, End Value].

Example:

• Surface[2 sin(t) * sin(v), sin(v), cos(v), t, 0, 2π, v, -π, π]

creates the related surface in Graphics View 3D.

• Let, r and R, two positive real,

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 which 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.