Surface Command

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 (first <Expression>), y-expression (second <Expression>) and z-expression (third <Expression>), using two <Parameter Variables> within the given intervals [<Start Value>, <End Value>].

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.

  • 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.
Surface( <Function>, <Angle> )

Creates a surface of revolution, rotating the given Function from 0 to given Angle around the x-axis.

Surface( <Curve>, <Angle>, <Line>)

Creates a surface of revolution, rotating the Curve from 0 to given Angle around the Line.