Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1969 IMO Problems/Problem 3

Revision as of 11:04, 20 October 2013 by Elvis (talk | contribs) (Created page with "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...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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.

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1969_IMO_Problems/Problem_3&oldid=57349"