MaplePrimes - answers and comments on Question, Graphing Area in Polar

Something like...

Adri van der Meer — Thu, 21 Mar 2013 05:31:31 Z

p1 := plots:-polarplot(2+cos(x), x = 0 .. 2*Pi, color = red, filled=[color=yellow] ):
p2 := plots:-polarplot(2, x = 0 .. 2*Pi, color = blue, filled=[color=white]):
plots:-display( [p2,p1] );

Outside regions

Carl Love — Thu, 21 Mar 2013 08:12:21 Z

mrmathexpert wrote:

How can I control the specific regions that I want to highlight? For example, from pi/2 to 3pi/2: outside or the left side of the y-axis bounded; and from 3pi/2 to pi/2, outside or the right side of the y-axis bounded.

You can do the left side and the right side separately, each side consisting of two polarplot commands, and paste all four together with display. I'm not sure if this is what you were trying to describe:

Download polarplot.mw

Note that the order of the plots in the display command matters: They are printed in the reverse of the order that they appear in the command. I don't think this is documented.

Another way

Kitonum — Thu, 21 Mar 2013 12:42:35 Z

Painting.mw

transparency

Carl Love — Thu, 21 Mar 2013 06:06:18 Z

Nice trick with the color= white. A variation is to add the option transparency= 0 to the second plot.

Specific regions

mrmathexpert — Thu, 21 Mar 2013 06:55:37 Z

@Carl Love How can I control the specific regions that I want to highlight? For example, from pi/2 to 3pi/2: outside or the left side of the y-axis bounded; and from 3pi/2 to pi/2, outside or the right side of the y-axis bounded.

Looks good. Very helpful.

mrmathexpert — Thu, 21 Mar 2013 09:51:02 Z

@mrmathexpert I was thinking of a single, solitary region within specific parameters.