projecting PLOT and PLOT3D data structures
project(p, [pt_2d, pt_2d])
project(q, [pt_3d, pt_3d])
project(q, [pt_3d, pt_3d, pt_3d])
PLOT data structure or a 2-D object
PLOT3D data structure or a 3-D object
(optional) list of two real numbers specifying a point in 2-D
(optional) list of three real numbers specifying a point in 3-D
The project command takes a plot structure or object and produces a new plot structure or object.
In two dimensional case, an object can be projected on a given line.
In three dimensional case, an object can be projected on a given a line, or a given plane.
The result of a call to project is a 2-D or 3-D plot structure or object, which may be displayed with the plots[display] command. You can assign the data structure to a variable, save it in a file, then read it back in for redisplay. For more information about plot data structures, see plot/structure or plot3d/structure.
Several commands in the plottools package can transform plots. For a list, see the plottools help page. The plots[changecoords] and plots[display] commands can also be used to transform plots.
A point is represented as a list of either two real numbers (2-D) or three real numbers (3-D).
A line is represented as a list of two distinct points.
A plane is represented as a list of three distinct points.
Note: The following example also uses the plottools[reflect] command.
p ≔ plot3d⁡sin⁡x⁢y+3,x=−Pi..Pi,y=−Pi..Pi:
q ≔ project⁡p,0,0,0,1,0,0,0,1,0:
r ≔ reflect⁡p,0,0,0,1,0,0,0,1,0:
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