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For the non-spatial in the studio audience -- solutions to the puzzles in previous post.



Here's the solution for #1
figuur1

Note that, if you rotate this thing to see it from the TOP, you get the view that says "top" on the left.
If you rotate it to the front (black arrow shows front face), you get the view that says "front" on the left.
If you rotate it to see the right face, you get the view that says "right" on the left.

Trust me.

Let's look at another.

This one is #5, which should be fairly easy for most people to rotate. I'm including it so that the non-spatial people in the studio audience can maybe figure out how these problems are supposed to work.

figuur5

Kind of imagine, if you turn this in your head, how it'd flatten out and make an I shape from the front (look for the black arrow). Now think... and look at the right hand... it'd make the same I shape from the right. And if you look straight down from the top, it'll make a diagonal line. And there are just twelve blocks, see, you can count them all.

And this is #10, the one that I thought was so elegant.

figuur10

What? It looks like a fucking mess. Are you stupid? What the hell is elegant about that?

Each block is visible in all three directions. There's no overlap. It's elegant.

Date: 2007-04-13 11:07 am (UTC)
From: [identity profile] en-ki.livejournal.com
It is worth asking whether each of these solutions is unique, and what symmetries it has. #5 is unique, of course, but #1 and #10 have at least a couple of rotational symmetries and my solution to #10 is a vertical permutation of yours. (Mine was the one I reached incrementally; yours is, because of the nicer symmetry, the one I would have aimed for had I bothered to think it through in advance.)

Date: 2007-04-13 11:59 am (UTC)
From: [identity profile] which-chick.livejournal.com
The one for 10 can be done much prettier, as here:

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