Volume: 20 equilateral triangles on circular base

thingiverse

The object has a circular base that measures 1 radius in size, and when sliced parallel to its bottom it creates equilateral triangles at each cut point. By utilizing twenty identical triangular prisms that exactly fill this model, we get an approximation of the real volume. This exercise makes use of the concept of finding the volume through integrating cross-sectional pieces. Emily Jaekle created and printed out this exact object during our summer research at WLU as a class project in '16. If you want to know how this was all designed, go ahead and visit this URL: http://mathvis.academic.wlu.edu/2015/06/29/volumes-by-slicing-general-slices/.