File:3 jugs puzzle rectangular plot.svg

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Summary

Description Two ways to obtain 4 litres using 3-litre and 5-litre jugs, and either a water source and sink or an 8-litre jug on a Cartesian grid with diagonal lines of slope -1 by CMG Lee. The x and y axes represent the amounts in the 5 and 3 L jugs, respectively, while the diagonal lines represent the amount in the 8 L jug. Starting from (0, 0), we traverse the grid along the line segments, stopping or turning only on its boundaries, until we reach the black line denoting 4 L in the 5 L jug. Solid lines denote pouring between jugs, dashed lines denote filling a jug (from the 8 L jug) and dotted lines denote emptying a jug.
Source Own work
Author Cmglee

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Date/TimeThumbnailDimensionsUserComment
current22:10, 21 April 2021Thumbnail for version as of 22:10, 21 April 2021512 × 683 (5 KB)CmgleeAdd amount in 8-litre jug (if in use).
01:32, 27 March 2021Thumbnail for version as of 01:32, 27 March 2021512 × 683 (4 KB)CmgleeAdd second solution.
01:04, 27 March 2021Thumbnail for version as of 01:04, 27 March 2021512 × 341 (3 KB)Cmglee{{Information |Description=Solution to obtain 4 litres using 3-litre and 5-litre jugs, and a water source and sink on a Cartesian grid with diagonal lines of slope -1 by CMG Lee. The x and y axes represent the amounts in the 5 and 3 L jugs, respectively. Starting from (0, 0), we traverse the grid along the line segments, stopping or turning only on its boundaries, until we arrive on the black line denoting 4 L in the 5 L jug. Solid lines denote pouring from the 5 L jug to the 3 L jug, dashed...
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