Guest Posted June 4, 2011 Report Share Posted June 4, 2011 using only 7 of the pentomino puzzle pieces(V.P.W.Z.T.L.Y) is it possible to create a 5 by 7 or 7 by 5 rectangle? you are allowd to flip the pieces or turn them 5 by 7 equals 35 so 7 shapes 5 pieces each is 35 mathmatically its possible but physically? i have tried over 5hours in past 2weeks but never got it Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 8, 2011 Report Share Posted June 8, 2011 I have no idea what a petomino piece is so I have no idea how to start thinking about this puzzle. It would help if you could explain. Explaining what a petomino peice is might also help other people with this puzzle. xx Quote Link to comment Share on other sites More sharing options...
0 peace*out Posted June 8, 2011 Report Share Posted June 8, 2011 Making sure i have this right: Do i have them right? Quote Link to comment Share on other sites More sharing options...
0 curr3nt Posted June 8, 2011 Report Share Posted June 8, 2011 No peace...they are supposed to make a 5x7 rectangle. Just kidding, you were double checking that you understood the pieces involved in the question. That is what I thought too. Haven't made a rectangle yet... Quote Link to comment Share on other sites More sharing options...
0 peace*out Posted June 8, 2011 Report Share Posted June 8, 2011 ha. ha. ha. but those ARE the pieces? Quote Link to comment Share on other sites More sharing options...
0 Molly Mae Posted June 8, 2011 Report Share Posted June 8, 2011 I got it, assuming that I can reuse the same pieces... Make a rectangle 7 units wide by 5 tall. I broke it up into three parts: 1) Make a 3x5 (I used either a Y, T, and L or P, P, and L 2) Make a 2x5 (P and P) 3) Make a 5x2 (P and P) Stack the 3x5 on top of the 2x5, giving a square 5x5. Stack the 5x2 on any side of the square to make 7x5 or 5x7. As easy as that was, I'm going to assume now that I can't reuse the same shape... To the drawing board? I'm using sticky notes. Quote Link to comment Share on other sites More sharing options...
0 Molly Mae Posted June 8, 2011 Report Share Posted June 8, 2011 (edited) I got it for real now. Let me host the image. Don't mind my inability to scale in paint. Edit: Attached file. Edit2: Added spoiler. Edited June 8, 2011 by Molly Mae Quote Link to comment Share on other sites More sharing options...
0 Guest Posted June 15, 2011 Report Share Posted June 15, 2011 There are over 2000 ways of doing this, I've heard. A while ago we tried to find (some of) those and kept track on the solutions by drawing them on paper. Quote Link to comment Share on other sites More sharing options...
0 Molly Mae Posted June 15, 2011 Report Share Posted June 15, 2011 There are over 2000 ways of doing this, I've heard. A while ago we tried to find (some of) those and kept track on the solutions by drawing them on paper. Hmmm...I'm sure there are many ways to do it with all pentominoes, but I don't think there are 2000 ways to do it using only the pieces provided in the OP. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 8, 2011 Report Share Posted October 8, 2011 using only 7 of the pentomino puzzle pieces(V.P.W.Z.T.L.Y) is it possible to create a 5 by 7 or 7 by 5 rectangle? you are allowd to flip the pieces or turn them 5 by 7 equals 35 so 7 shapes 5 pieces each is 35 mathmatically its possible but physically? i have tried over 5hours in past 2weeks but never got it You can't cover 5 by 7 grid with V.P.W.Z.T.L.Y tiles. If you use all twelve then there is exactly 5584 solutions but if you want to use those particular seven then there is no way to complete the puzzle. How do I know this ? Below is two helpful links to pentomino related sites: http://math.hws.edu/xJava/PentominosSolver/ This is Pentomino Puzzle Solver. http://www.pentomino-puzzles.com This is application to play games based on pentomino tiles. Quote Link to comment Share on other sites More sharing options...
0 Molly Mae Posted October 8, 2011 Report Share Posted October 8, 2011 You can't cover 5 by 7 grid with V.P.W.Z.T.L.Y tiles. If you use all twelve then there is exactly 5584 solutions but if you want to use those particular seven then there is no way to complete the puzzle. How do I know this ? Below is two helpful links to pentomino related sites: http://math.hws.edu/...ntominosSolver/ This is Pentomino Puzzle Solver. http://www.pentomino-puzzles.com This is application to play games based on pentomino tiles. Check the spoiler in of this thread and tell me where I made a mistake... Quote Link to comment Share on other sites More sharing options...
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using only 7 of the pentomino puzzle pieces(V.P.W.Z.T.L.Y)
is it possible to create a 5 by 7 or 7 by 5 rectangle?
you are allowd to flip the pieces or turn them
5 by 7 equals 35 so 7 shapes 5 pieces each is 35
mathmatically its possible but physically?
i have tried over 5hours in past 2weeks but never got it
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