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File:Rope burning puzzle.svg

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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

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File history

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Date/TimeThumbnailDimensionsUserComment
current12:53, 13 January 2023Thumbnail for version as of 12:53, 13 January 2023512 × 384 (6 KB)CmgleeWork around rsvg bug in which fill-opacity does not apply to patterns
12:52, 13 January 2023Thumbnail for version as of 12:52, 13 January 2023512 × 384 (6 KB)CmgleeImprove rope texture, add time arrow and add rope ghosts
00:24, 10 November 2021Thumbnail for version as of 00:24, 10 November 2021512 × 384 (5 KB)CmgleeLight other end
14:11, 8 November 2021Thumbnail for version as of 14:11, 8 November 2021512 × 384 (5 KB)CmgleeThicken rope // Editing SVG source code using c:User:Rillke/SVGedit.js
14:01, 8 November 2021Thumbnail for version as of 14:01, 8 November 2021512 × 384 (5 KB)CmgleeTexture rope
11:25, 8 November 2021Thumbnail for version as of 11:25, 8 November 2021512 × 384 (4 KB)CmgleeLighten gridlines // Editing SVG source code using c:User:Rillke/SVGedit.js
00:40, 8 November 2021Thumbnail for version as of 00:40, 8 November 2021512 × 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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