Wedge 2

thingiverse

Wedge 2 represents the volume enclosed by z=0, x=0, y=0, z=1-x^2, and y=1-x, defined precisely on the model. The standard Multivariable Calculus problem demands that one express the volume of this space using a triple integral in six unique orders. This 3D printed model was designed by my WLU summer research student Ryan McDonnell ('17). You can learn the specifics of its construction at http://mathvis.academic.wlu.edu/2015/06/26/exercise-32/. Update: I've made the model more compact, so it prints as a 9cm x 9cm x 9cm object. You may have to adjust the size by a factor of 10 if you're printing on a MakerWare printer, since it reads files in millimeters. The printed item is intended to be 9cm on every side, but even smaller sizes will work perfectly. This model was produced using a MakerBot2X printer with the following settings: 2 shells, 0.20mm layer thickness, 10% filling (using hexagons), and no support structure needed; we also chose not to make an raft.