Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 2"
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+ | #[[2021 JMPSC Invitational Problems|Other 2021 JMPSC Invitational Problems]] | ||
+ | #[[2021 JMPSC Invitational Answer Key|2021 JMPSC Invitational Answer Key]] | ||
+ | #[[JMPSC Problems and Solutions|All JMPSC Problems and Solutions]] | ||
+ | {{JMPSC Notice}} |
Revision as of 16:26, 11 July 2021
Problem
Two quadrilaterals are drawn on the plane such that they share no sides. What is the maximum possible number of intersections of the boundaries of the two quadrilaterals?
Solution
We find that it is possible to construct the maximal points, where each side of one quadrilteral intersects all four sides of the other quadrilateral.
~samrocksnature
See also
- Other 2021 JMPSC Invitational Problems
- 2021 JMPSC Invitational Answer Key
- All JMPSC Problems and Solutions
The problems on this page are copyrighted by the Junior Mathematicians' Problem Solving Competition.