There are 9 equally sized matchsticks, move 2 to make 3 equal triangles
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$\begingroup$ is 3 equal a condition? $\endgroup$– Sagar ChandMay 29, 2020 at 4:19
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1$\begingroup$ Does equal mean congruent, or just similar? $\endgroup$– athinMay 29, 2020 at 12:41
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1$\begingroup$ Hm.. What's the trick here? 3D? Negative space? $\endgroup$– SphinxxxMay 29, 2020 at 15:55
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1$\begingroup$ What would be the answer?? $\endgroup$– Always ConfusedMay 31, 2020 at 16:59
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5 Answers
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If moving means applying force, we can bend the rule without breaking it.
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Take one match and lay it horizontally across the top two (red in picture below)
Take another match, break it into thirds, and lay two of the pieces down (two greens)
Picture (may not be to scale):
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$\begingroup$ @mimic The question said "move 2" which I interpret as "move 2 matchsticks" not "make 2 moves". $\endgroup$– JS1Nov 30, 2020 at 19:31
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$\begingroup$ Well, okay, but "move" usually doesn't mean "break". $\endgroup$– mimicDec 1, 2020 at 20:12
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$\begingroup$ @mimic Given the fact that no one has solved this puzzle in 6+ months, I think lateral thinking is required. $\endgroup$– JS1Dec 1, 2020 at 21:37
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Not quite sure what the trick is, but I can at least get four triangles with three moves:
Six in four, of course, trivially follows.
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This is the only kind of arrangement I can think of:
It creates the vertices of three small isosceles triangles at A, B and C.
There are similar arrangements possible – the two matches can be moved up or down to make other shapes of congruent triangle.
answered May 28, 2020 at 15:03
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1$\begingroup$ It seems like you could get four triangles with this logic. $\endgroup$– hexominoMay 28, 2020 at 19:14
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$\begingroup$ @Weather Vane, apologies, but I still do not see the triangles? $\endgroup$ May 29, 2020 at 4:17
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1$\begingroup$ @SagarChand after several hours no one had solved the puzzle so I posted this, and now even after a day there is no other solution that moves only two matches. Keep looking! $\endgroup$ May 29, 2020 at 12:19
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$\begingroup$ @WeatherVane I suspect there is no correct solution. $\endgroup$– mimicDec 1, 2020 at 21:55
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Could not do it by moving 2 matchsticks but by moving 3 or 4 matchsticks gives me some lucrative results.
This is by 3 moves
These are by 4 moves
