Plotting in Polar Coordinates

Dr. K. G. TeBeest

Example 3: Plot

A limacon with a loop. See Example 11 in the text.

Note how the curve fills in as the range is increased.

Here is used instead of since is easier to type.

> r:= 1 - 2 * sin( t );

> plot( r, t = 0 .. 1*Pi/4, coords = polar, scaling = constrained, thickness = 2);

> plot( r, t = 0 .. 2*Pi/4, coords = polar, scaling = constrained, thickness = 2);

> plot( r, t = 0 .. 3*Pi/4, coords = polar, scaling = constrained, thickness = 2);

> plot( r, t = 0 .. 4*Pi/4, coords = polar, scaling = constrained, thickness = 2);

> plot( r, t = 0 .. 5*Pi/4, coords = polar, scaling = constrained, thickness = 2);

> plot( r, t = 0 .. 6*Pi/4, coords = polar, scaling = constrained, thickness = 2);

> plot( r, t = 0 .. 7*Pi/4, coords = polar, scaling = constrained, thickness = 2);

> plot( r, t = 0 .. 8*Pi/4, coords = polar, scaling = constrained, thickness = 2);