Timeline for Sequence of numbers related to line-segment intersections
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 10, 2023 at 19:02 | comment | added | Manfred Weis | @MaxAlekseyev you are right, I was misled by the idea of lines intersecting a diagonal. The correct argument is that every quadruplet of points defines a convex quadrilateral which has exactly one pair of insecting line segments. | |
| Jun 10, 2023 at 18:55 | history | edited | Manfred Weis | CC BY-SA 4.0 |
removed the addendum
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| Jun 10, 2023 at 10:05 | history | edited | Manfred Weis | CC BY-SA 4.0 |
provided a formula for the points in convex configuration
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| Jun 9, 2023 at 21:31 | comment | added | Max Alekseyev | If $n$ points were the vertices of a convex polygon, and no 3 line segments were allowed to intersect at one point, then the answer would be $\binom{n}{4}$. | |
| Jun 8, 2023 at 13:41 | comment | added | Manfred Weis | @MaxAlekseyev my guess would be that no solution exists for 2 intersections | |
| Jun 8, 2023 at 12:25 | comment | added | Max Alekseyev | It's worth to compute first few terms and check if they are present in oeis.org | |
| Jun 8, 2023 at 5:35 | history | edited | Manfred Weis | CC BY-SA 4.0 |
clarified the case of three line-segments intersecting in an inner point
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| Jun 8, 2023 at 5:25 | comment | added | Manfred Weis | @MaxAlekseyev I am tempted to allow both variants,meaning that both cases are interesting in their own right. | |
| Jun 8, 2023 at 3:03 | comment | added | Max Alekseyev | Can 3 line segments intersect in one point? | |
| Jun 7, 2023 at 17:03 | history | asked | Manfred Weis | CC BY-SA 4.0 |