Daily Printable Equation Collection by skaye

Last crawled date: 2 years, 12 months ago

This thing collects together all of my printable equations (see http://www.thingiverse.com/tag:Daily_Equation). For more detail and photos of each equation, see individual things. To just see each new equation as I post it, put a watch this thing.
I've always been interested in different ways to visualize and explore data. I thought it would be cool to try to print 3d representations of equations. The graphing libraries I could find weren't flexible enough for what I needed, so I wrote a Python program to take an equation and plot it in Openscad using the polygon command. The 3d equation is mounted on a stand that also displays the text form of the equation (write.scad used for text).
I'm going 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.
Day 1 - y = asin(bx)
(http://www.thingiverse.com/thing:227223)
Day 2 - x^(2/3) + y^(2/3) = a
(http://www.thingiverse.com/thing:228112)
Day 3 - Spiral r = atheta
(http://www.thingiverse.com/thing:228425)
Day 4 - Normal Distribution y = e^(-x^2/2) / (2pi)^0.5
(http://www.thingiverse.com/thing:230906)
Day 5 - Fermat's Spiral r = +/- theta^0.5
(http://www.thingiverse.com/thing:231587)
Day 6 - |x + y| = a
(http://www.thingiverse.com/thing:232332)
Day 7 - |x^(5/3) + y^(5/3)| = a
(http://www.thingiverse.com/thing:232990)
Day 8 - Circle - x^2 + y^2 = a
(http://www.thingiverse.com/thing:233659)
Day 9 - x^20 + y^20 = a
(http://www.thingiverse.com/thing:234465)
Day 10 - Sinc Function - y = asin(bx)/(bx)
(http://www.thingiverse.com/thing:235141)
Day 11 - y = sin(cos(x/7)+sin(x))x
(http://www.thingiverse.com/thing:236050)
Day 12 - Ellipse - x^2/a + y^2/b = 1
(http://www.thingiverse.com/thing:237496)
Day 13 - Line - y = mx + b
(http://www.thingiverse.com/thing:238243)
Day 14 - Parabola - y = ax^2
(http://www.thingiverse.com/thing:238911)
Day 15 - y = ax^3
(http://www.thingiverse.com/thing:240435)
Technical Note:
To thickness in the y-direction is created by plotting a second curve whose points are a constant distance in the direction perpendicular to the tangent of the first curve. This can create artifacts at regions of rapidly changing slope. However, the lower or inner curve is always correct.