Limericks and a Cardioid -- for Valentine's Day

     Oh, math-lover most divine,

     for you this mathy Valentine --

          found when I looked
          in a calculus book --  
     a cardioid is the heart-sign. 

     Take two equal circles and wind
     one round the other -- aligned
          with the start-touchpoint tracing
          the heart-shape that’s gracing
     this limerick Valentine.

     Please be mine!

Using two circles to generate a cardioid

 

WojciechSwiderski at the Polish language Wikipedia, the copyright holder 

of this animated cardioid, has published it under the following license:

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.