This is Day 6 of my collection of printable equations. To see the whole collection, go to:http://www.thingiverse.com/thing:227210
For today's equation, I'm revisiting the Astroid , x^(2/3) + y^(2/3) = a, from day 2. By varying the exponent on x and y, you can generate an interesting set of curves. For the next few days, I'll walk through those. First up, let's try changing both exponents to 1. In order to preserve the symmetry of the Astroid, the equation becomes |x + y| = a. As x & y vary linearly vs. one another, this generates a diamond shape.
As always, I'm going to continue to post one equation per day until get bored or people lose interest. If there's a particular equation you'd like to see, leave a comment and I'll give it a shot.