Kvant Math Problem 855

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Verified: no
Verdicts: SKIP + SKIP
Solve time: 3m03s
Source on kvant.digital

Problem

Is it possible to pass a rigid regular tetrahedron with edge length 1 through a hoop of diameter:

  1. 1;
  2. $0{,}95$;
  3. $0{,}9$;
  4. $0{,}85$?

V. V. Proizvolov