Daily Equation #9 - x^20 + y^20 = a by skaye

Last crawled date: 2 years, 11 months ago

This is Day 9 of my collection of printable equations. To see the whole collection, go to: http://www.thingiverse.com/thing:227210
For today's equation, we have the final in the series of equations of the form |x^b + y^c| = a (See days 2, 6, 7, and 8). Previously, we saw that as b and c went from <1, to 1, to >1, to 2, the quadrants of the shape went from bending inward, to straight, to bowing out, to a circle. As b,c --> infinity, the quadrants continue to extend out until they form a square. Today's equation: x^20 + y^20 = a, is a close approximation of that, though you can still see some rounding at the corners. You can see the progression in the posted photo.
Details:
units are in mm
a = 50^20 (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.