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Omni-MATH / A square grid on the Euclidean plane consists of all points (m,n), where m and n are integers. Is it possible to cover all grid points by an infinite family of discs with non-overl…
Problem
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problem
A square grid on the Euclidean plane consists of all points , where and are integers. Is it possible to cover all grid points by an infinite family of discs with non-overlapping interiors if each disc in the family has radius at least ?
Plain-text mathematical notation (without MathML)
A square grid on the Euclidean plane consists of all points (m,n), where m and n are integers. Is it possible to cover all grid points by an infinite family of discs with non-overlapping interiors if each disc in the family has radius at least 5?
Original LaTeX notation
A square grid on the Euclidean plane consists of all points $(m,n)$, where $m$ and $n$ are integers. Is it possible to cover all grid points by an infinite family of discs with non-overlapping interiors if each disc in the family has radius at least $5$?
Discussion
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Source and history
- task_id
9476066d-7ad6-5c13-8eee-1ec4c392452c- task_key
test--9476066d-7ad6-5c13-8eee-1ec4c392452c- task_revision_id
- 1
- config / split
- / test
initial import