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Permutahedron

by pff000, published

Permutahedron by pff000 Jul 17, 2016
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Permutahedron by pff000 is licensed under the Creative Commons - Attribution license.

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Thing Statistics

326Views 122Downloads Found in Math Art

Summary

The boundary and internal edges of a 3D permutahedron.

The 4! vertices are given by the permutations of [1, 3, 4.2, 7], with an edge connecting two vertices if they agree in two of the four coordinates. The 4D vertices live in a 3D hyperplane, namely the sum of the coordinates is 15.2.
Designed with OpenSCAD.

Printed with a raft to ensure adhesion to the bed. Printed without any support using the orientation in the STL file.

Designed with Allen Knutson.

Print Settings

Printer Brand:

RepRap

Printer:

Prusa i3

Rafts:

Yes

Supports:

No

Resolution:

0.3

Infill:

No

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Thank you for designing this shape. I used it as the basis of a math project with my kids today. What a fun shape to explore!

Here's the project if you are interested:

https://mikesmathpage.wordpress.com/2017/03/09/a-fun-shape-for-kids-to-explore-the-permutohedron/

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