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Cayley/Klein Cubic (KM 27), 4 singularities 3d printed The Cayley/Klein cubic in a dollhouse in front of a portrait of Klein.

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The Cayley/Klein cubic in a dollhouse in front of a portrait of Klein.
Cayley/Klein Cubic (KM 27), 4 singularities 3d printed The Cayley/Klein cubic in a dollhouse in front of a portrait of Klein.
Cayley/Klein Cubic (KM 27), 4 singularities 3d printed The Cayley/Klein cubic in a dollhouse in front of a portrait of Klein.

DIGITAL PREVIEW
Not a Photo

Cayley/Klein Cubic (KM 27), 4 singularities 3d printed
Cayley/Klein Cubic (KM 27), 4 singularities 3d printed

DIGITAL PREVIEW
Not a Photo

Cayley/Klein Cubic (KM 27), 4 singularities

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$39.90
3D printed in white nylon plastic with a matte finish and slight grainy feel.
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Product Description
This version of the cubic surface with four singularities (this is the maximum number possible on a cubic) is exceptional. It can only produced in the non-polished version of the "white, strong and flexible" material. The reason for this is that we performed many experiments in order to realize a version with 3d-prints well and which is stable enough. The polishing breaks the object at the singularities. 
Cubic Surfaces are the most classical mathematical models since the 1870s, and MO-Labs presented the first complete collection of all 45 types of cubic surfaces as classified by Schläfli in 1863 and in a more modern version by Knörrer and Miller in 1987. All equations of these surfaces were produced by us with the aim in mind to show all essential properties of the infinitely large abstract mathematical surface in a single real object: all its singularities and all straight lines on them.
In 2016, we created a second version of these models, series II. The main difference between this new series and the previous one is that the new objects are cut by a cylinder (and not by a ball) which makes them look much more elegant. The particular model shown here represents number 27 in this collection.
 
Details
What's in the box:
Cayley/Klein Cubic (KM 27), 4 singularities
Dimensions:
7.49 x 7.46 x 12.05 cm
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2.95 x 2.94 x 4.74 inches
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Rating:
Mature audiences only.
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