Visualizing Math

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Henry Segermen’s 3D Printed Mathematical Art

Henry Segermen is a mathematician and mathematical artist who works mainly with three-dimensional geometry and topology, and 3D printing.

The images above are extremely cool. 3D printed spheres of various designs cast interesting shadows as the spheres’ designs are stereographically projected onto a flat surface with a shining light placed directly above. 

The Math: Stereographic Projections - According to Wikipedia, a stereographic projections is a particular mapping that projects a sphere onto a plane. The projection is defined on the entire sphere, except at one point: the projection point. Try to find the projection point in the images above!

Here is a picture, from Wikimedia Commons, of a Cartesian grid and its distorted appearance on a sphere: 

The Cartesian grid projection can be seen in Henry Segermen’s art, above (upper left and lower right). 

It seems to be common opinion that these 3D printed spheres would make awesome lampshades or party lights. Go to Henry Segermens’ website for even more mathematical art!

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