Daily Equation #6 - Diamond, |x + y| = a

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.

Details:

• units are in mm
• a = 50 (to give a length and height of 100)
• Range(x) = -50 to 50
• stl resized to make x axis = 100 mm

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.

Instructions

All files can be printed without support. Photos shown were printed on a Replicator 2 and sliced using the standard setting on Makerware.

Category: Math