pow:problem1s23
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| pow:problem1s23 [2023/02/17 06:57] – mazur | pow:problem1s23 [2023/02/17 06:59] (current) – mazur | ||
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| + | <box 85% round orange| Problem 1 (due Monday, February 6)> | ||
| + | Consider any collection of 2023 lines on a plane such that no two lines are parallel and no 3 | ||
| + | lines share a common point. These lines divide the plane into some number of pieces. Show that | ||
| + | at least 1348 of these pieces are triangles. | ||
| + | |||
| + | </ | ||
| + | The problem was solved by Ashton Keith. His solution is essentially the same as our solution. For details | ||
| + | see the following link {{: | ||