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#1 2010-07-24 04:25:47

wintersolstice
Real Member
Registered: 2009-06-06
Posts: 114

unfolded cube puzzle

I didn't know the best place to post this,

I don't understand the puzzle, I know what you've got to do: colour the cube in correctly using the two colours given, but I don't understand what the "see through" cube is or how that helps you. I do find things difficult to understand sometimes (I thought I had understood at some point but when I solved it using what I understood my answer was completely wrong) the instructions just don't seem to be complete enough

can anyone help?


Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!

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#2 2010-07-24 04:38:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,228

Re: unfolded cube puzzle

Hi wintersolstice;

I can't see any drawing or page. Post the problem and the diagram, if you can.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2010-07-24 05:33:59

wintersolstice
Real Member
Registered: 2009-06-06
Posts: 114

Re: unfolded cube puzzle

bobbym wrote:

Hi wintersolstice;

I can't see any drawing or page. Post the problem and the diagram, if you can.

here:

http://www.mathsisfun.com/games/unfolded-cube-puzzle.html

I don't understand what the "unfolded cube" tells you about the final cube


Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!

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#4 2010-07-24 05:47:21

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,228

Re: unfolded cube puzzle

Hi wintersolstice;

Got me too. Appears to be a nice game though!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#5 2010-07-28 23:42:14

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,376

Re: unfolded cube puzzle

The real 27 cubes have some blue and some clear cubes.  The left hand diagram doesn't show you what the faces are like but rather how many cubes in a given line are blue and how many are clear.

As you look at a face you might be looking at blue cube that has another blue cube behind and another blue cube behind that. The left hand view indicates this by showing a deep blue square.

Or you might be looking at a cube that is clear, with a blue behind and another blue behind that.  This is shown on the left hand view by a mid blue square.

Or you might be looking at a clear, with a clear behind with a blue behind that.  This is shown on the left hand view by a light blue square.

And so on.

So the left hand view doesn't show the outer faces; it shows whether there are three, two, one or no blue cubes in that line.  Altogether this gives 6 x 9 bits of information about which cubes are blue and which are clear.

So work this out and show what the outer faces look like on the right hand diagram.

I hope this makes sense to you.

I've just re-read it; and I'm not even sure it makes sense to me!dunno  So I've made a revised left hand diasgram in which the numbers tell you how many blue cubes there are 'in that line'.  Hope that helps.:cool:

Bob

View Image: cube puzzle.JPG

Last edited by bob bundy (2010-07-28 23:57:31)


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#6 2010-07-29 06:48:15

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,376

Re: unfolded cube puzzle

Whoops.  "Altogether this gives 6 x 9 bits of information about which cubes are blue and which are clear."

Obviously, I meant   3 x 9 since opposite 'faces' have the same information.

Embarrassed smily begs forgiveness.


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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