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manoranjan Group Title

What is the most stable geometrical figure in 3 dimensions ?

  • 3 years ago
  • 3 years ago

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  1. saifoo.khan Group Title
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    Pyramid i guess.

    • 3 years ago
  2. manoranjan Group Title
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    I was wondering why ?

    • 3 years ago
  3. saifoo.khan Group Title
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    same here. lol

    • 3 years ago
  4. someone1348 Group Title
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    And by stable you mean? Could be a gömböc (google it)

    • 3 years ago
  5. abtrehearn Group Title
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    A tetrahedron.

    • 3 years ago
  6. sritama Group Title
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    circle

    • 3 years ago
  7. abtrehearn Group Title
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    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
  8. abtrehearn Group Title
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    ... is a spherical shell ...

    • 3 years ago
  9. someone1348 Group Title
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    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
  10. abtrehearn Group Title
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    Perhaps a better term would be "rigid"'

    • 3 years ago
  11. abtrehearn Group Title
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    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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