10 equilateral triangles on a circular base
thingiverse
A three-dimensional figure boasts a base with a circular perimeter measuring 1 in radius. Successive sections cut perpendicularly to this base comprise equilateral triangles. A model based on 10 equilateral triangular prisms represents an approximation of this solid, providing insight into determining the volume of this object via an integral calculus method involving its cross-sectional slices. The underlying model was meticulously crafted and produced by my summer research participant from Washington and Lee University, Emily Jaekle ('16). A comprehensive account detailing how she designed this model is available at http://mathvis.academic.wlu.edu/2015/06/29/volumes-by-slicing-general-slices/.
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