benchmarks.wiki / Public workspace
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Omni-MATH / Consider 9 points in space, no four of which are coplanar. Each pair of points is joined by an edge (that is, a line segment) and each edge is either colored blue or red or left un…
Problem
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problem
Consider points in space, no four of which are coplanar. Each pair of points is joined by an edge (that is, a line segment) and each edge is either colored blue or red or left uncolored. Find the smallest value of such that whenever exactly edges are colored, the set of colored edges necessarily contains a triangle all of whose edges have the same color.
Plain-text mathematical notation (without MathML)
Consider 9 points in space, no four of which are coplanar. Each pair of points is joined by an edge (that is, a line segment) and each edge is either colored blue or red or left uncolored. Find the smallest value of n such that whenever exactly n edges are colored, the set of colored edges necessarily contains a triangle all of whose edges have the same color.
Original LaTeX notation
Consider $9$ points in space, no four of which are coplanar. Each pair of points is joined by an edge (that is, a line segment) and each edge is either colored blue or red or left uncolored. Find the smallest value of $\,n\,$ such that whenever exactly $\,n\,$ edges are colored, the set of colored edges necessarily contains a triangle all of whose edges have the same color.
Discussion
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Source and history
- task_id
c1789ffa-b187-5173-acb0-4599c8e1bb28- task_key
test--c1789ffa-b187-5173-acb0-4599c8e1bb28- task_revision_id
- 1
- config / split
- / test
initial import