rookie1ja Posted March 31, 2007 Report Share Posted March 31, 2007 Rabbit Hutch - Back to the Matchstick Puzzles In the picture there are little flats for 6 rabbits. Can you build a dwelling for these 6 rabbits with only 12 matches. Each rabbit must have an equally big space. Edit: 6 separate flats are needed for the rabbits. This old topic is locked since it was answered many times. You can check solution in the Spoiler below. Pls visit New Puzzles section to see always fresh brain teasers. Rabbit Hutch - solution Picture added as per below hint. Link to comment Share on other sites More sharing options...
Guest Posted April 16, 2007 Report Share Posted April 16, 2007 All you have to do is make a hexagon and put lines to the center. There, all done!!! Link to comment Share on other sites More sharing options...
rookie1ja Posted April 20, 2007 Author Report Share Posted April 20, 2007 Exactly. Easy as that. I have added the picture. Link to comment Share on other sites More sharing options...
Guest Posted June 14, 2007 Report Share Posted June 14, 2007 forgive my rudimentary drawing skills using paint. Each line is a matchstick three triangles split down the middle. Twelve sticks, six pens. yes? no? Also, there is a way to make six identical rabbit pens using only ten matchsticks. Care to try? Link to comment Share on other sites More sharing options...
Guest Posted June 15, 2007 Report Share Posted June 15, 2007 What about: ---------*---------* * * * * * | | | | | |----+----*----+----* | | | | | | | | | | ---------*---------* Just 11 matches and you also get two guest rooms! Link to comment Share on other sites More sharing options...
Guest Posted June 20, 2007 Report Share Posted June 20, 2007 forgive my rudimentary drawing skills using paint. Each line is a matchstick three triangles split down the middle. Twelve sticks, six pens. yes? no? Also, there is a way to make six identical rabbit pens using only ten matchsticks. Care to try? I don't think that works. Some of the matchsticks would end up shorter than the others (the ones splitting the triangles down the middle, I think). So you end up with 9 matchsticks and 3 sticks of a smaller size. Link to comment Share on other sites More sharing options...
Guest Posted June 21, 2007 Report Share Posted June 21, 2007 What about removing the match stick on one side, then joining the two ends together, making a 3D circle with the same hutch design of the original drawing. Is this a legal solution? Link to comment Share on other sites More sharing options...
Guest Posted July 13, 2007 Report Share Posted July 13, 2007 Since there is nothing that says you must have 6 separate flats for the rabbits, this works: Link to comment Share on other sites More sharing options...
Guest Posted July 16, 2007 Report Share Posted July 16, 2007 wouldn't this also work (provided my drawing skills... or lack thereof, are excused)? Link to comment Share on other sites More sharing options...
Guest Posted July 25, 2007 Report Share Posted July 25, 2007 I THINK THIS WILL WORK. Link to comment Share on other sites More sharing options...
Guest Posted July 30, 2007 Report Share Posted July 30, 2007 i know how to use only 6 matches and still use the hexagon form ... cut the matches in half Link to comment Share on other sites More sharing options...
Guest Posted August 17, 2007 Report Share Posted August 17, 2007 _ 1 // 4 - - 2 // 4 - 1 ---- 12 Link to comment Share on other sites More sharing options...
Guest Posted September 3, 2007 Report Share Posted September 3, 2007 how about slevin? Link to comment Share on other sites More sharing options...
Guest Posted September 3, 2007 Report Share Posted September 3, 2007 Since there are no size requirements, it is possible to do it in 6, (without any cutting in half). But those are going to be some unhappy rabbits. Rabbit Hutch - solution with 6 sticks Link to comment Share on other sites More sharing options...
Guest Posted September 17, 2007 Report Share Posted September 17, 2007 Is the answer correct? Assuming match size is 1, so original room space is 1/2. But the new room space is sqrt(3)/4. Will rabbits be happy? Link to comment Share on other sites More sharing options...
Guest Posted October 3, 2007 Report Share Posted October 3, 2007 Sometimes the wording of these problems are a bit off. Here is another solution that fits in with the wording, though may not be in the spirit of the problem. Link to comment Share on other sites More sharing options...
Guest Posted October 15, 2007 Report Share Posted October 15, 2007 Sometimes the wording of these problems are a bit off. Here is another solution that fits in with the wording, though may not be in the spirit of the problem. I like the optical illusion, but does it actually have anything to do with the problem? Link to comment Share on other sites More sharing options...
Guest Posted October 24, 2007 Report Share Posted October 24, 2007 Wouldn't just an entire big square work? 3x4, still uses 12 matches. Plus, the problem didn't say all the rabits couldn't be together. Link to comment Share on other sites More sharing options...
Guest Posted November 5, 2007 Report Share Posted November 5, 2007 wouldn't this also work (provided my drawing skills... or lack thereof, are excused)? The matches usually tend to be always the same size. The ones in your picture aren't. The ones that are diagonal are longer than the other ones. Link to comment Share on other sites More sharing options...
Guest Posted November 8, 2007 Report Share Posted November 8, 2007 this is also i n deltora quest except instead of rabbits they're beetles Link to comment Share on other sites More sharing options...
Guest Posted November 27, 2007 Report Share Posted November 27, 2007 Little house for 6 rabbits (just 12 matches) Link to comment Share on other sites More sharing options...
Guest Posted December 10, 2007 Report Share Posted December 10, 2007 I had assumed that the requirement was that the floor area of each new area should be the same as previouslly. It's a long time since I studied geometry but I think the solution given does this whereas most (if not all) of the alternatives offered do not! Link to comment Share on other sites More sharing options...
Guest Posted December 15, 2007 Report Share Posted December 15, 2007 The solution of author is wrong. He wrote the same area? the cell area on the first picture is P=1/2a*a where a is lenght of match for ex=10 so area of 1 cell will be 50 on his picture we have equila teraltriangle so P=(a*a*square root(3))/4 where a is lenght of match for ex=10 so are of 1 cell will be 43,30 on my solution right-angled triangle so P=a*a/2 where a is lenght of match for ex=10 so area of 1 cell will be 50 Link to comment Share on other sites More sharing options...
rookie1ja Posted December 15, 2007 Author Report Share Posted December 15, 2007 The solution of author is wrong. He wrote the same area? the cell area on the first picture is P=1/2a*a where a is lenght of match for ex=10 so area of 1 cell will be 50 on his picture we have equila teraltriangle so P=(a*a*square root(3))/4 where a is lenght of match for ex=10 so are of 1 cell will be 43,30 on my solution right-angled triangle so P=a*a/2 where a is lenght of match for ex=10 so area of 1 cell will be 50 so you claim that my solution: 1. does not offer the same (equally big) area for 6 rabbits 2. made of 12 matchsticks ??? Link to comment Share on other sites More sharing options...
Guest Posted December 16, 2007 Report Share Posted December 16, 2007 Yes If it is in 2d your solutions is wrong. Maybe rabbits will have enough space ;-) but it will be less than on the begining. Link to comment Share on other sites More sharing options...
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