Daily Equation #9 – x^20 + y^20 = a


Description

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.

Daily Equation #9 - x^20 + y^20 = a by skaye is licensed under the Creative Commons - Attribution - Non-Commercial license.

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