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Hyperbole 01 Color Sculpture 3d printed This is the equation that generates Hyperbole 01

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This is the equation that generates Hyperbole 01
Hyperbole 01 Color Sculpture 3d printed This is the equation that generates Hyperbole 01
Hyperbole 01 Color Sculpture 3d printed This is the equation that generates Hyperbole 01

DIGITAL PREVIEW
Not a Photo

Hyperbole 01 Color Sculpture 3d printed The parametric surface, with the mapping of Gaussian curvature to color.
Hyperbole 01 Color Sculpture 3d printed The parametric surface, with the mapping of Gaussian curvature to color.

DIGITAL PREVIEW
Not a Photo

Hyperbole 01 Color Sculpture 3d printed
Hyperbole 01 Color Sculpture 3d printed

DIGITAL PREVIEW
Not a Photo

Hyperbole 01 Color Sculpture

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  • 3D printed in Coated Full Color Sandstone: Fully colored material with a glossy and smooth finish.
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  • This product is intended for mature audiences.
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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 01 is the most basic version of the shape.  Hyperbole 01 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.  
What's in the Box
INCM
Hyperbole 01 Color
Coated Full Color Sandstone
Width
7.9 cm
Height
7.0 cm
Depth
7.9 cm

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