Daily Equation #1 - y = a*sin(b*x)

thingiverse

Day 1 features a classic sin function, with two full periods displayed. The units utilized are in millimeters and degrees, while the parameters for the equation are 'a' at 35 and 'b' at 73. The range of x values is from zero to a hundred. This 3D printable equation collection can be found in its entirety at http://www.thingiverse.com/thing:227210. As an enthusiast of data visualization, the creator sought a more flexible approach than available graphing libraries, resulting in a Python program that generates 3D representations using OpenSCAD's polygon command. Each equation is mounted on a stand displaying its text form. The plan is to upload one equation per day until interest wanes, with requests for specific equations welcome via comments. A technical note highlights that the y-direction thickness is achieved by plotting a second curve at a constant distance from the first's tangent, which may cause artifacts in regions of high slope, but the lower or inner curve remains accurate. All prints can be completed without support structures and were photographed using a Replicator 2 with standard Makerware settings.