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CTK Exchange
Predrag Savic
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Jun-01-07, 08:30 AM (EST) |
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"Cube Sequence Difficulty"
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Hi: Please,consider the following problems:
https://www.mathlinks.ro/Forum/viewtopic.php?t=105712 And https://www.mathlinks.ro/Forum/viewtopic.php?t=70759 Apparently,the problems belong to the same class of "recreational math and logic" problems. I would like to to hear your opinion if computer assistance is required to completely solve them, and how many colored squares should be there on the final cubes?
Perhaps,the transition code logic has something to do with Rubik's cube solving algorithms, but I'm not quite sure. I haven't seen such codes before,but I find them intriguing and interesting. I'm very curious becouse of the "solution-uniqueness" claim in the text. Do you know how to attack these problems? Please,help if you can . I hope you will find the problems interesting as I do. I'm a college freshman at University of Zagreb,interested in math, computers and natural sciences. Best regards, Predrag Savic
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Predrag Savic
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Jun-18-07, 12:39 PM (EST) |
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1. "RE: Cube Sequence Difficulty"
In response to message #0
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At first glance I thought that numbers 0,1,2,3 in the code indicate spatial rotations by corresponding 0,90,180,270 degrees. Perhaps I'm wrong but looks like it's not the case.Then I tried putting 3×3×3 cubes into a one big 6×6×6 cube and then to analyze the codes.Nothing that made clear sense I noticed. One more crazy idea is to try to relate it with hypercubes... Opinions? I wish I knew total number of coloured squares on the last cube in the sequence.That could help to work the puzzle out "backwards". Anybody knows anaything about origin of these problems? |
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amel
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Sep-14-07, 06:54 AM (EST) |
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2. "RE: Cube Sequence Difficulty"
In response to message #1
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I think that in first task, number in code after sign - presents differences in number of colored fields between two adjacent cubes. so in the last cube the total number of coloured squares would be 1. |
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itineracy
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Oct-13-08, 07:19 AM (EST) |
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5. "RE: Cube Sequence Difficulty"
In response to message #0
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Hi Predrag, I think the solution for "70759" would be A3F1 I'll be happy to provide you with the rationale of that, but will not do so on this public forum... If my solution is the correct one, that would spoil the fun somewhat, me reckons...
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