DMelt:Math/2 Parametric Functions

Table of contents

Parametric functions

Parametric functions can be constructed using the Java class  jhplot.FPR. The variables "u" and "v" are parametric variables used to build "x,y,z". To display such functions, use the canvas  jhplot.HPlot3DP.

Lets us show an example of creating two parametric function:

from java.awt import Color
from jhplot import *

c1 = HPlot3DP("Canvas",600,600,2,1)
c1.setGTitle('3D surfaces')
c1.visible();

f1=FPR('u=2 Pi u; z=1.5*(v-.5); x=z cos(u)*.8-0; y=z sin(u)*.8+0')
f1.setFillColor(Color.green)
f2=FPR('u=2 Pi u; x=cos(u)*.5+.1; y=sin(u)*.5+.1; z=1.5*(v-.5)') 

c1.cd(1,1)
c1.draw(f1)

c1.cd(2,1)
c1.draw(f2)

The output of this script is shown here

As you can see, one can overlay several functions on top of each other and set the transparency level.

Here are some examples: