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plots

 cylinderplot
 plot a 3-D surface in cylindrical coordinates

 Calling Sequence cylinderplot(L, r1, r2, options)

Parameters

 L - procedure or expression having two variables, or list of three such procedures or expressions r1, r2 - ranges of the form $\mathrm{var}=a..b$ options - (optional) plot options; see plot3d/option

Description

 • Important: The cylinderplot command has been deprecated.  Use the superseding calling sequence plot3d(args, coords=cylindrical), which is equivalent to the plots[cylinderplot](args) calling sequence.  For more information, see plot3d[coords].
 • The cylinderplot command creates a three-dimensional plot of a surface or parametric surface in cylindrical coordinates.  The individual functions can be in the form of either expressions or procedures.
 • If L is not a list, then L represents radius given in terms of the coordinates theta and z. In this case, r1 and r2 are the ranges for theta and z.
 • If L is a list, then the three components of L are parametric representations of the coordinates radius, theta, and z, respectively. In this case, r1 and r2 are ranges for the two parameters of the surface.
 • The remaining arguments are interpreted as options which are specified as equations of the form option = value. These options are the same as those found in plot3d. For example, the option grid = [m, n] specifies that the set of points representing the three-dimensional plot are evaluated over an m by n grid of points. For more information, see plot3d/option.
 • The result of a call to cylinderplot is a PLOT3D structure which can be rendered by the plotting device. You can assign a PLOT3D value to a variable, save it in a file, then read it back in for redisplay. For more information, see plot3d[structure].

Examples

Important: The cylinderplot command has been deprecated.  Use the superseding calling sequence plot3d(args, coords=cylindrical), which is equivalent to the plots[cylinderplot](args) calling sequence.

 > $\mathrm{with}\left(\mathrm{plots}\right):$
 > $\mathrm{cylinderplot}\left(1,\mathrm{θ}=0..2\mathrm{π},z=-1..1\right)$
 > $\mathrm{cylinderplot}\left(z+3\mathrm{cos}\left(2\mathrm{θ}\right),\mathrm{θ}=0..\mathrm{π},z=0..3\right)$
 > $f≔\frac{5{\mathrm{cos}\left(y\right)}^{2}-1}{3}$
 ${f}{:=}\frac{{5}}{{3}}{}{{\mathrm{cos}}{}\left({y}\right)}^{{2}}{-}\frac{{1}}{{3}}$ (1)
 > $\mathrm{cylinderplot}\left(f,x=0..2\mathrm{π},y=-\mathrm{π}..\mathrm{π},\mathrm{style}=\mathrm{PATCH},\mathrm{color}=f\right)$
 > $\mathrm{cylinderplot}\left(\left[z\mathrm{θ},\mathrm{θ},\mathrm{cos}\left({z}^{2}\right)\right],\mathrm{θ}=0..\mathrm{π},z=-2..2,\mathrm{color}=\mathrm{θ}\right)$