Space Curve Graph

Parametric equations: graphing a parametric curve in space

Complete Code

POD for Macro Files

plotly3D.pl

PG problem file

Explanation

DOCUMENT();

loadMacros('PGstandard.pl', 'PGML.pl', 'plotly3D.pl', 'PGcourse.pl');

Preamble

The macro plotly3D.pl is used to produce the graph.

$graph = Graph3D(
    height => 300,
    width  => 300,
    title  => 'Spiral in 3D',
);

$graph->addCurve([ 't*cos(t)', 't*sin(t)', 't' ], [ 0, 6 * pi, 150 ]);

Setup

A plotly3D graph is created with the Graph3D function. There are many options as decribed in the POD, but to get started include the height and width.

A parametric curve (space curve) is added to the graph with the addCurve method, which takes an array ref of length 3. These are strings as javascript function in the variable t. The second array ref is [tmin, tmax, samples].

BEGIN_PGML
[@ $graph->Print @]*
END_PGML

ENDDOCUMENT();

Statement

This just prints the graph. No question is asked.