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A space curve in a cube 3d printed

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Red Processed Versatile Plastic
A space curve in a cube 3d printed The shadow of a smooth space curve may have a cusp.
A space curve in a cube 3d printed The shadow of a smooth space curve may have a cusp.

DIGITAL PREVIEW
Not a Photo

A space curve in a cube 3d printed
A space curve in a cube 3d printed

DIGITAL PREVIEW
Not a Photo

A space curve in a cube

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Product Description
This space curve is a math classic. To view its projections on a plane, just take a torch (or your cell phone lamp).
Its projections to the sides of the cube are particularily interesting, one is a standard parabola, another one some graph of a polynomial of degree three, and the third one is a curve with a so-called cusp.
In mathematics, the particular curve used for this model, is called rational normal curve, with parametrization $(t,t^2,t^3)$.
We also created a model which is identical apart from the fact that the three mentioned projections are also shown in the model. See also our website: Math-Sculpture.com
Details
What's in the box:
space curve in cube, cusp-proj., 6.4cm
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Rating:
Mature audiences only.