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Summary
| Description |
Visualisation of the rope-burning puzzle by CMG Lee, the horizontal axis denoting time elapsed in seconds and vertical axis denoting time remaining on a rope. 1. Lighting one end (red line) of a rope (brown line) burns it out in 60 s. 2. Lighting both ends burns it out in 30 s. 3. The standard solution with two ropes, initially the first with both ends lit and the second with just one. The first rope burning out triggers lighting of the second end of the second rope (blue arrow), burning it out in a total of 45 s. 4. An alternative solution with the second rope initially unlit. The first rope burning out triggers lighting of both ends of and a random point on the second rope. Each time a segment burns out, a random point on the remaining rope is lit. In theory, the second rope burns out in 15 s, giving a total of 45 s. |
| Source | Own work |
| Author | Cmglee |
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 12:53, 13 January 2023 | | 512 × 384 (6 KB) | Cmglee | Work around rsvg bug in which fill-opacity does not apply to patterns |
| 12:52, 13 January 2023 |  | 512 × 384 (6 KB) | Cmglee | Improve rope texture, add time arrow and add rope ghosts | |
| 00:24, 10 November 2021 |  | 512 × 384 (5 KB) | Cmglee | Light other end | |
| 14:11, 8 November 2021 |  | 512 × 384 (5 KB) | Cmglee | Thicken rope // Editing SVG source code using c:User:Rillke/SVGedit.js | |
| 14:01, 8 November 2021 |  | 512 × 384 (5 KB) | Cmglee | Texture rope | |
| 11:25, 8 November 2021 |  | 512 × 384 (4 KB) | Cmglee | Lighten gridlines // Editing SVG source code using c:User:Rillke/SVGedit.js | |
| 00:40, 8 November 2021 |  | 512 × 384 (4 KB) | Cmglee | {{Information |Description=Visualisation of the rope-burning puzzle by CMG Lee, the horizontal axis denoting time elapsed in seconds and vertical axis denoting time remaining on a rope.<br style="margin-bottom:1ex;" />1. Lighting one end (red line) of a rope (brown line) burns it out in 60 s.<br style="margin-bottom:1ex;" />2. Lighting both ends burns it out in 30 s.<br style="margin-bottom:1ex;" />3. The standard solution with two ropes, initially the first with both ends lit and the second... |
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