The cone command creates a three-dimensional plot data object, which when displayed is a cone of height h.  The vertex of the cone is located at c.  The base circle of the cone is centered at c + [0,0,h] and of radius r.

The plot data object produced by the cone command can be used in a PLOT3D data structure, or displayed using the plots:-display command.

By default, the cone does not have a disc covering the base. If you include the capped keyword, such a disc is added.

The cone returned is approximated by a number of polygons. In particular, the base circle is approximated by a regular polygon; the edges of this polygon are then connected to the vertex. The more edges, the better it approximates a circular cone; the fewer edges, the more efficiently Maple can manipulate the 3-D objects involved. The number of edges is determined as follows:

If the numpoints = n option is given, then the base is an n-gon.

Otherwise, if the grid = [n+1, m] is given, it is ignored, except that the base is taken to be an n-gon. This is because the plot structure used to be generated with plot3d, placing the n+1 points determined by the grid around the full base circle, leading to n segments in between.

If neither option is given, the base is a 100-gon.

Remaining arguments are interpreted as options, which are specified as equations of the form option = value. For more information, see plottools and plot3d/option.

$\mathrm{with}\left(\mathrm{plottools}\right)\:$

$\mathrm{with}\left(\mathrm{plots}\right)\:$

$\mathrm{icecream}≔\mathrm{cone}\left(\left[0\,0\,-2\right]\,0.7\,2\,\mathrm{color}=''Tan''\right),\mathrm{sphere}\left(\left[0\,0\,0.2\right]\,0.75\,\mathrm{color}=''Pink''\,\mathrm{style}=\mathrm{patchnogrid}\right)\:$

$\mathrm{display}\left(\mathrm{icecream}\,\mathrm{scaling}=\mathrm{constrained}\,\mathrm{orientation}=\left[45\,70\right]\right)$

$\mathrm{cones}≔\mathrm{Array}\left(\left[\mathrm{seq}\left(\mathrm{cone}\left(\left[0\,0\,0\right]\,\mathrm{numpoints}=n\right)\,n=\left[100\,20\,12\,8\,5\right]\right)\right]\right)\:$

$\mathrm{display}\left(\mathrm{cones}\,\mathrm{orientation}=\left[50\,35\,5\right]\right)$

$\mathrm{tetra}≔\mathrm{cone}\left(\left[0\,0\,0\right]\,1\,\mathrm{sqrt}\left(2\right)\,'\mathrm{capped}'\,'\mathrm{numpoints}'=3\right)\:$

$\mathrm{display}\left(\mathrm{tetra}\,'\mathrm{scaling}'='\mathrm{constrained}'\right)$

The plottools:-cone command was updated in Maple 2024.

The capped and numpoints options were introduced in Maple 2024.

For more information on Maple 2024 changes, see Updates in Maple 2024.