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The Maxima on-line user's manual

Algebra Calculator

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Parametric Calculator

Parametric

-- Graphic object: parametric (<xfun>,<yfun>,<par>,<parmin>,<parmax>) -- Graphic object: parametric (<xfun>,<yfun>,<zfun>,<par>,<parmin>,<parmax>) Draws parametric functions in 2D and 3D.

This object is affected by the following graphic options: nticks, line_width, line_type, key, color and enhanced3d.

load(draw);
draw3d(color = pink,implicit(0=((x-13)^2+(y-13)^2+(z-13)^2-4*6),       x,0,sqrt(4*6)+13,y,0,sqrt(4*6)+13,z,0,sqrt(4*6)+13),color = red,implicit(0=((x-13)^2+(y-13)^2+(z-13)^2-6),       x,0,sqrt(6)+13,y,0,sqrt(6)+13,z,0,sqrt(6)+13),color = blue,implicit(0=((x-8)^2+(y-8)^2+(z-8)^2-59), x,0,sqrt(59)+8,y,0,sqrt(59)+8,z,0,sqrt(59)+8),  color = black,parametric(t,t,t,t,0,30),       color = green,points([[(23+13+8)/3,(23+13+8)/3,(17+8)/2]]), surface_hide = true);
draw3d(color = red,implicit(0=((x-13)^2+(y-13)^2+(z-13)^2-6),       x,0,sqrt(6)+13,y,0,sqrt(6)+13,z,0,sqrt(6)+13),color = blue,implicit(0=((x-8)^2+(y-8)^2+(z-8)^2-59), x,0,sqrt(59)+8,y,0,sqrt(59)+8,z,0,sqrt(59)+8),  color = black,parametric(t,t,t,t,0,30),       color = green,points([[(23+13+8)/3,(23+13+8)/3,(17+8)/2]]), surface_hide = true);

2D

parametric (<xfun>,<yfun>,<par>,<parmin>,<parmax>) plots parametric function [<xfun>,<yfun>], with parameter <par> taking values from <parmin> to <parmax>.

Example:

          (%i1) load(draw)$
          (%i2) draw2d(explicit(exp(x),x,-1,3),
                       color = red,
                       key   = "This is the parametric one!!",
                       parametric(2*cos(rrr),rrr^2,rrr,0,2*%pi))$

3D

parametric (<xfun>,<yfun>,<zfun>,<par>,<parmin>,<parmax>) plots parametric curve [<xfun>,<yfun>,<zfun>], with parameter <par> taking values from <parmin> to <parmax>.

Example:

          (%i1) load(draw)$
          (%i2) draw3d(explicit(exp(sin(x)+cos(x^2)),x,-3,3,y,-3,3),
                       color = royalblue,
                       parametric(cos(5*u)^2,sin(7*u),u-2,u,0,2),
                       color      = turquoise,
                       line_width = 2,
                       parametric(t^2,sin(t),2+t,t,0,2),
                       surface_hide = true,
                       title = "Surface & curves" )$

There are also some inexact matches for parametric. Try ?? parametric to see them.

(%o1)                                true
(%i2) 

Parametric Example

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parametric(t^2+t,t^2-t);

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parametric(t^2,sin(t)...

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parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t)]], [t, 0, 10],[x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

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parametric(sin(3*t),s...

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wxdraw3d(enhanced3d=t...

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parametric((2*t^2+1),...

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parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t, t, 0, 10)]], [x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

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parametric-plot2d-sin
plot2d([sin(x),sin(x*sin(x)), [parametric(t*sin(t), -t, t, 0, 10)]], [x, -15, 15], [y, -15, 15]);

plot2d([sin(x),sin(x*...

plot2d([sin(x),x*sin(...

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parametric

? parametric;

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