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Omni-MATH / Consider an infinite grid of equilateral triangles. Each edge (that is, each…
Problem
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problem
Consider an infinite grid of equilateral triangles. Each edge (that is, each side of a small triangle) is colored one of colors. The coloring is done in such a way that any path between any two nonadjacent vertices consists of edges with at least two different colors. What is the smallest possible value of ?
Plain-text mathematical notation (without MathML)
Consider an infinite grid of equilateral triangles. Each edge (that is, each side of a small triangle) is colored one of N colors. The coloring is done in such a way that any path between any two nonadjacent vertices consists of edges with at least two different colors. What is the smallest possible value of N?
Original LaTeX notation
Consider an infinite grid of equilateral triangles. Each edge (that is, each side of a small triangle) is colored one of $N$ colors. The coloring is done in such a way that any path between any two nonadjacent vertices consists of edges with at least two different colors. What is the smallest possible value of $N$?
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Source and history
- task_id
3c4384a4-d3d6-58c6-90dd-223472dc1cc5- task_key
test--3c4384a4-d3d6-58c6-90dd-223472dc1cc5- task_revision_id
- 1
- config / split
- / test
initial import