bonanova Posted September 16, 2008 Report Share Posted September 16, 2008 Here's an easy dissection problem in three dimensions. Cut a 12-inch cube into 4 parts.Re-assemble the parts into a 8"x8"x27" rectangular block.Have fun. Quote Link to comment Share on other sites More sharing options...
0 andromeda Posted September 16, 2008 Report Share Posted September 16, 2008 For some reason people here take me seriously whatever I say Thanks anyway for the 3D puzzle!!! Quote Link to comment Share on other sites More sharing options...
0 andromeda Posted September 17, 2008 Report Share Posted September 17, 2008 OK! This is what a got so far! You say it's easy, but... I'm not finished yet but I want to know if I'm on a right track! When I cut the cube like this and assemble those two pieces I get 8*8*16 and I have 4*12*12 (and I have to turn that into 8*8*9 by making two pieces out of the previous one mentioned) Is the start any good? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 17, 2008 Report Share Posted September 17, 2008 Is the start any good? How do you intend to get 27 from the numbers 4,6,8 & 12 ??? Think again Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted September 17, 2008 Author Report Share Posted September 17, 2008 be sure not to lose any volume along the way. 8x8x16 + 4x12x12 = 1600 12x12x12 = 8x8x27 = 1728. Quote Link to comment Share on other sites More sharing options...
0 andromeda Posted September 17, 2008 Report Share Posted September 17, 2008 be sure not to lose any volume along the way. 8x8x16 + 4x12x12 = 1600 12x12x12 = 8x8x27 = 1728. I made a typo it's not 8*8*16 I meant 8*8*18 (6+6+6)! I put numbers on the picture so you could see what I'm thinking about even if I made a mistake in tipping! I asked if I'm on a right track?! <_< Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted September 17, 2008 Author Report Share Posted September 17, 2008 you can foresee trouble in that you want four pieces. With the three you have at this point, you can only cut one and keep the other two. But no two of the the three are the right dimensions. So you need to rethink at least one of your first cuts. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 17, 2008 Report Share Posted September 17, 2008 Have my thinking cap on ... Need more time to think Quote Link to comment Share on other sites More sharing options...
0 soop Posted September 17, 2008 Report Share Posted September 17, 2008 Here's an easy dissection problem in three dimensions. Cut a 12-inch cube into 4 parts.Re-assemble the parts into a 8"x8"x27" rectangular block.Have fun. This is really good. I don't have it That the shapes you cut are not going to be six-sided. I think they're going to be stepped. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 17, 2008 Report Share Posted September 17, 2008 One of the four pieces Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 18, 2008 Report Share Posted September 18, 2008 I managed to solve it the other way Cut a 8"x8"x27" rectangular block into 4 parts. Re-assemble the parts into a 12-inch cube. This is the solution to the same problem as we are getting 4 pieces from the same volume, just planning it from reverse Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted September 18, 2008 Author Report Share Posted September 18, 2008 I managed to solve it the other way Agree solution is the same - care to post it? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 18, 2008 Report Share Posted September 18, 2008 Agree solution is the same - care to post it? Sure We take 8x8x27 and cut it like this Quote Link to comment Share on other sites More sharing options...
0 soop Posted September 18, 2008 Report Share Posted September 18, 2008 Oh, no way, that's totally not fair. I did the jigsaw (from a cube) to make a 18x8 long shape, but it says you have to cut the cube into 4 pieces, not cut the cube once, then reform it and cut another shape. That's not seriously the answer is it? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 18, 2008 Report Share Posted September 18, 2008 Oh, no way, that's totally not fair. I did the jigsaw (from a cube) to make a 18x8 long shape, but it says you have to cut the cube into 4 pieces, not cut the cube once, then reform it and cut another shape. That's not seriously the answer is it? If you cut across 2 pieces you get 4 pieces. That is how you should cut the cube Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 18, 2008 Report Share Posted September 18, 2008 If you cut across 2 pieces you get 4 pieces. That is how you should cut the cube Impressive! Kudos to you. (am I use the Kudos right? ) Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 18, 2008 Report Share Posted September 18, 2008 Impressive! Kudos to you. (am I use the Kudos right? ) Yes and thank you Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted September 19, 2008 Author Report Share Posted September 19, 2008 Oh, no way, that's totally not fair. I did the jigsaw (from a cube) to make a 18x8 long shape, but it says you have to cut the cube into 4 pieces, not cut the cube once, then reform it and cut another shape. That's not seriously the answer is it? That's the solution. The cube is cut into four pieces. Nothing unfair about it ... consider: With 3 cuts I can divide a pizza into six pieces. Now only the first cut actually cut the [original, uncut] pizza. The following cuts cut the pieces that resulted from the first cut. But you'd still say I cut the pizza into 6 pieces wouldn't you? Also, the OP did not say that only two cuts could be made. So no rearrangement was really necessary, if you don't like rearrangements. The first cut makes two pieces. They can then be cut, once each and without rearrangement, into the final four pieces. Quote Link to comment Share on other sites More sharing options...
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bonanova
Here's an easy dissection problem in three dimensions.
- Cut a 12-inch cube into 4 parts.
- Re-assemble the parts into a 8"x8"x27" rectangular block.
Have fun.Link to comment
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