Plotting Quartic Solutions in Polar Coordinates

*To*: mathgroup at smc.vnet.net*Subject*: [mg112459] Plotting Quartic Solutions in Polar Coordinates*From*: Ed Frank <satchelp at earthlink.net>*Date*: Thu, 16 Sep 2010 05:59:53 -0400 (EDT)*Reply-to*: Ed Frank <satchelp at earthlink.net>

I have used "Solve" in (M7HE) to provide solutions to a Quartic equation in (r,Phi), and have attempted to plot the results in Polar coordinates without much success. Can I send you what I have done - in an email attachment perhaps - and ask for your comments? The equation involves the 2 variables (r, Phi) and a single, constant (though adjustable) parameter: r^4 - (2 Cos[2*[Phi]]) r^2 - (a - 1) == 0 These are "Cassinian Ovals" for different vales of "a". I think part of the problem may be in the self-defined formulas I created to consolidate the solution(s). PolarPlot seems to plot a Test constant value OK, but won't plot my solution formulas. Thanks, Ed Frank satchelp at earthlink.net