Happy sextic (equation) day

Don’t be a pervert. I’m talking about the sextic equation, or the heart equation. Remember college algebra? Remember how this equation graphs a circle:

{(x-h)^2+(y-k)^2=r^2}

Well, there has to be a function out there that describes a heart, right? At least that’s what I was asking myself during church today. So google I did, and voila! Here a couple:

{x^2+(y-sqrt{delim{|}x{|}})^2=n, where n=3} {1}

My favorite comes from Wolfram {2}, which is known as the sextic equation:

{(x^2+9/4y^2+z^2-1)^3-x^2z^3-9/80y^2z^3=0}

plot of heart surface

plot of heart surface

heart surface

heart surface

Happy Valentine’s Day!

Footnotes:

  1. found here, along with many others []
  2. home of Mathworld []

Related posts

Leave a comment

3 Comments.

  1. I will mention that yesterday’s sermon was quite good, and you missed it by thinking about math the whole time! :-P Love you!

  2. Rob. Sarah has gotta love ya. Hope you two had a great Valentines Day.

  3. You are adorable. I love it!

Leave a Reply


[ Ctrl + Enter ]