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Strange Bowl: 16 cylindrical shells

by dennedesigns, published

Strange Bowl: 16 cylindrical shells by dennedesigns Jul 15, 2015
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240Views 84Downloads Found in Math

Summary

The area between y=x and y=x^2 is rotated about the line y=1.25. This creates a volume of revolution which looks a bit like a bowl, but with a conical interior and a big hole in the bottom. This volume is approximated by 16 cylindrical shells. Note that the 16th shell does not appear on the model since it has zero volume.

This model pairs with Strange Bowl: smooth & 16 washers (http://www.thingiverse.com/thing:922306 and http://www.thingiverse.com/thing:897934).

This model was designed and printed by my WLU summer research student Ryan McDonnell ('17). See http://mathvis.academic.wlu.edu/2015/07/01/solid-of-revolution-comparing-methods-2/ for more information.

Instructions

This object was first made on a MakerBot2X. However there were so many supports, that it was not a successful print. Instead we printed it on the FormLabs Form 1+ printer.

We used the grey color, and adjusted the suggested rotation of the object to minimize supports in the interior. (We ended up deleting three of them.)

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