Volume: 20 equilateral triangles on circular base

by dennedesigns, published

Volume: 20 equilateral triangles on circular base by dennedesigns Jun 29, 2015
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1384Views 380Downloads Found in Math


A solid has a circular base of radius 1. Parallel cross-sections perpendicular to the base are equilateral triangles. This solid is approximated by 20 equilateral triangular prisms. This approximation illustrates how the volume of the solid is found using an integral of the cross-sectional slices.

This model was designed and printed by my WLU summer research student Emily Jaekle ('16). A description of how the model was designed can be found here: http://mathvis.academic.wlu.edu/2015/06/29/volumes-by-slicing-general-slices/


This object was made on a MakerBot2X. We used the following settings:
2 shells
0.20mm layer height
10% infill (hexagonal pattern)
no supports
raft off

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