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A Quintic with 15 Cusps 3d printed

Not a Photo

Yellow Processed Versatile Plastic
A Quintic with 15 Cusps 3d printed
A Quintic with 15 Cusps 3d printed

Not a Photo

A Quintic with 15 Cusps

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3D printed in deep yellow, richly colored nylon plastic with a smooth finish.

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Product Description
This is an algebraic world record surface. For any given degree of a polynomial one may ask what the maximum number of singularities is which may exist on the corresponding surface. For quintics (i.e. surfaces of degree 5) the highest number known up to now is 15; the best proven bound from above is 20. So, there might be quintics with more than 15 cusps... feel free to look for an example if you are interested! But the shown surface is currently a world record holder. Another surface with the same number of cusps was given by W. Barth.

What's in the box:
A Quintic with 15 Cusps
14.2 x 14.92 x 8.95 cm
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5.59 x 5.88 x 3.52 inches
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