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Hyperbole 03 Color Sculpture 3d printed Hyperbole 03 Color Sculpture in Coated Full Color Sandstone

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Hyperbole 03 Color Sculpture in Coated Full Color Sandstone
Hyperbole 03 Color Sculpture 3d printed Hyperbole 03 Color Sculpture in Coated Full Color Sandstone
Hyperbole 03 Color Sculpture 3d printed Hyperbole 03 Color Sculpture in Coated Full Color Sandstone

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Not a Photo

Hyperbole 03 Color Sculpture 3d printed This is the equation that produces Hyperbole 03
Hyperbole 03 Color Sculpture 3d printed This is the equation that produces Hyperbole 03

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Not a Photo

Hyperbole 03 Color Sculpture 3d printed The parametric surface, with the mapping of Gaussian curvature to color.
Hyperbole 03 Color Sculpture 3d printed The parametric surface, with the mapping of Gaussian curvature to color.

DIGITAL PREVIEW
Not a Photo

Hyperbole 03 Color Sculpture 3d printed
Hyperbole 03 Color Sculpture 3d printed

DIGITAL PREVIEW
Not a Photo

Hyperbole 03 Color Sculpture

$42.00
3D printed in fully colored material with a glossy and smooth finish.
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Product Description
There's a shape that metalsmiths make when learning anticlastic raising called a hyperbolic paraboloid, because that's the mathematical surface it resembles, a square with one pair of corners raised and the other pair lowered.  If you're ambitious, however, you can continue curving the corners until they meet.  The resulting shape is pretty, but it's no longer a hyperbolic paraboloid.  We haven't yet found a common mathematical name for that shape, but we came up with an equation that has that shape.  It's a surface with negative Gaussian curvature, but it's not a hyperbolic paraboloid and it's not a hyperboloid, so for now we're calling it a hyperbole.  Let's call it a pun.  

Hyperbole 03 has a ripple added along the v direction.  Hyperbole 03 Color is colored by Gaussian curvature, and available in Full Color Sandstone.  

The toolkit we use to turn these equations into printable objects is called Anethole, and is available on GitHub. The hyperbole starts with a function that gives the edges of a square in polar coordinates, then rolls it up as a half pipe, then applies a ruffle function (the same one used in the Equation To Object tutorial) with a period of pi.  
Details
What's in the box:
Hyperbole 03 Color
Dimensions:
6.65 x 6.65 x 6.16 cm
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2.62 x 2.62 x 2.43 inches
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Success Rate:
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Rating:
Mature audiences only.
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