Difference between revisions of "1969 IMO Problems/Problem 3"

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Revision as of 12:04, 20 October 2013

For each value of k = 1; 2; 3; 4; 5; find necessary and sufficient conditions on the number a > 0 so that there exists a tetrahedron with k edges of length a; and the remaining 6 - k edges of length 1.