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Volume by 16 French Fries

by dennedesigns, published

Volume by 16 French Fries by dennedesigns Jul 9, 2015
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157Views 100Downloads Found in Math

Summary

We approximate the volume below z=16-x^2-2y^2 and above the square [0,2]x[0,2] with a double Riemann sum. We take the [0,2]x[0,2] square and subdivide it into 16 smaller squares, then create a rectangular prism by choosing the height to be the function value in the center of the square. The height was also scaled down by a factor of four. The resulting collection looks like a bunch of french fries!

Together with Volume by 64 & no French Fries, this shows how a double Riemann sum can approximate a volume. (See https://www.thingiverse.com/thing:917118 and http://www.thingiverse.com/thing:918151.)

This model was designed and printed by my WLU summer research student Ryan McDonnell ('17).

Instructions

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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