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manoranjan
Group Title
What is the most stable geometrical figure in 3 dimensions ?
 3 years ago
 3 years ago
manoranjan Group Title
What is the most stable geometrical figure in 3 dimensions ?
 3 years ago
 3 years ago

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saifoo.khan Group TitleBest ResponseYou've already chosen the best response.1
Pyramid i guess.
 3 years ago

manoranjan Group TitleBest ResponseYou've already chosen the best response.0
I was wondering why ?
 3 years ago

saifoo.khan Group TitleBest ResponseYou've already chosen the best response.1
same here. lol
 3 years ago

someone1348 Group TitleBest ResponseYou've already chosen the best response.0
And by stable you mean? Could be a gömböc (google it)
 3 years ago

abtrehearn Group TitleBest ResponseYou've already chosen the best response.0
A tetrahedron.
 3 years ago

abtrehearn Group TitleBest ResponseYou've already chosen the best response.0
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.
 3 years ago

abtrehearn Group TitleBest ResponseYou've already chosen the best response.0
... is a spherical shell ...
 3 years ago

someone1348 Group TitleBest ResponseYou've already chosen the best response.0
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!
 3 years ago

abtrehearn Group TitleBest ResponseYou've already chosen the best response.0
Perhaps a better term would be "rigid"'
 3 years ago

abtrehearn Group TitleBest ResponseYou've already chosen the best response.0
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.
 3 years ago
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