Questions related to polyhedra and their properties.

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6
votes
2answers
4k views

Tetrahedron inside a sphere

What's the largest regular tetrahedron (side length x) you can fit inside a sphere with a radius of one?
6
votes
4answers
22k views

Height of a tetrahedron

How do I calculate: The height of a regular tetrahedron, side length 1. Just to be completely clear, by height I mean if you placed the shape on a table, how high up would the highest point be from ...
4
votes
1answer
330 views

Tetrahedron volume

How to calculate volume of tetrahedron given lengths of all it's edges?
12
votes
1answer
370 views

What property of certain regular polygons allows them to be faces of the Platonic Solids?

It appears to me that only Triangles, Squares, and Pentagons are able to "tessellate" (is that the proper word in this context?) to become regular 3D convex polytopes. What property of those regular ...