Timeline for Connecting 6 dots with 6 curves
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 8, 2021 at 8:37 | comment | added | justhalf | @AxiomaticSystem a circular rubber band (when divided into 6 segements is a 6-cycle) can intersect itself once (odd) too without any problem. | |
| Jul 7, 2021 at 13:14 | comment | added | Dmitry Kamenetsky | It is in fact possible ;) | |
| Jul 7, 2021 at 13:01 | comment | added | AxiomaticSystem | No - in both the 6-cycle and the 3+3 (the only two options unless you allow degree-1 dots and thus certain exotic graphs) you have a distinguishable "interior". Since the number of interior touches (nine) is odd, you'd end up on opposite sides of the border if you had no tangencies. | |
| Jul 7, 2021 at 12:55 | comment | added | Dmitry Kamenetsky | That is correct! Is it possible to make all interior touches as intersections? | |
| Jul 7, 2021 at 12:16 | history | edited | AxiomaticSystem | CC BY-SA 4.0 |
added 272 characters in body
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| Jul 7, 2021 at 11:55 | history | answered | AxiomaticSystem | CC BY-SA 4.0 |