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Tetrahedron Sphere — image 1
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Tetrahedron Sphere

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It is a quarter of a sphere that has been divided into 4 equal volumes, according to the faces of a tetrahedron.

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Model information

Category
Math
License
Creative Commons — Attribution

There are several names for this, most commonly:

  • tetrahedron sphere
  • tetrahedral sphere
  • spherical tetrahedron
  • quarter spherical triangle… 

 

It can be described as:

  • a tetrahedron inflated in a sphere
  • the projection of a tetrahedron in a sphere
  • division of sphere into 4 equal spherical triangles

NOT a reuleaux tetrahedron - this has 3 flat faces and only 1 curved face.

 

No 3D models of this yet, so I made it. One of the alignments was done by eye, so it's not “mathematically perfect”. I'm looking for one created using formulae. This is useful for creating objects with 4 parts pointing outwards at equal angles in 3D. 

 

Use v2. It's got better alignment and higher resolution. parts 1-4 fit together like in the picture but they're not really useful for printing.

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