Question

What is the most stable geometrical figure in 3 dimensions ?

Answer 1

Pyramid i guess.

Answer 2

I was wondering why ?

Answer 3

same here.
lol

Answer 4

And by stable you mean?
Could be a gömböc (google it)

Answer 5

A tetrahedron.

Answer 6

circle

Answer 7

The tetrahedron is one, and an equally stable object in 3D is a sphere whose material , even if flexible, does not stretch or shrink in response to compressive or tensile loads.

Answer 8

... is a spherical shell ...

Answer 9

The term "stable" is still pretty vague. What do you mean by it? Something that remains still? A wing is actually pretty stable when you're flying, too! Be precise!

Answer 10

Perhaps a better term would be "rigid"'

Answer 11

With that in mind, suppose you have six beams, all the same length. You form a ragular tetrahedton with the six beams. The result is rigidity, even if the joints are flexible.

Suppose you can form the surface of a sphere using flexible material thae does not stretch or shrink shen subjected to compressive or tensile forces. That shell is also rigid.