Brainteaser

Post by **prospero** » Mon 07 Jan, 2008 7:53 pm

Sorry, should have said....

The squares must connect edge to edge with matching vertices. No rotational variations.

Moglet · Post by **Moglet** » Mon 07 Jan, 2008 8:35 pm

Assuming the following:

- No reflective mappings
- No rotational mappings
- Squares must be connected along the edges, with vertices in alignment on joined sides (i.e. can't make a shape by joining square A half way along edge of square B, etc)
- Duplicates by "shuffling" square 1, 2, 3, 4 and 5 are not permitted

I can make 8 basic configurations of the five squares, given above assumptions. Wanna pic?

Post by **prospero** » Mon 07 Jan, 2008 10:37 pm

Yep. Thems the rules.

There are 12 possibles.

Moglet · Post by **Moglet** » Mon 07 Jan, 2008 11:05 pm

Got the 12 now (I think...)

Edited to add:

I'll PM a pic to you, Prospero, if that's OK!

Post by **prospero** » Tue 08 Jan, 2008 12:02 am

OK got it.

Tick V.G.

Now the slightly more tricky part.

Fit all the shapes into a grid, size 6 squares x 10squares.

Now's the time to use up all those mountboard offcuts...

btw. there are 2339 different solutions.

btw2. You are allowed to flip the pieces over

Moglet · Post by **Moglet** » Tue 08 Jan, 2008 1:27 am

For all the umpty-nine solutions, I'd settle for one. Best attempt so far leaves one square outside the grid. Grrrrrrrr .....

Edited to add:

You've wrecked my head again, Prospero!

Post by **prospero** » Tue 08 Jan, 2008 11:54 pm

Hohoho.

Heres a little hint:

Do ya give up? Or would you like to try the HARD version?

Moglet · Post by **Moglet** » Wed 09 Jan, 2008 4:46 am

Ta for hint.

No, I haven't given up.

Too busy trashing my gallery today to work on the solution. But there's always amárach!