How many different ways are there of putting 5 hexagons together so that at least one side touches?

Can you show me please? :confused:

Phil

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- May 26th 2005, 03:49 AMphil@cpmsHexagon shapes
How many different ways are there of putting 5 hexagons together so that at least one side touches?

Can you show me please? :confused:

Phil - May 26th 2005, 07:24 AMpaultwang
More questions:

1. As long as they result in non-superimposable pictures without flipping? Or with flipping?

2. You didn't specify whether they are equilateral hexagons.

3. You didn't specify whether they are convex hexagons. - May 26th 2005, 07:30 AMphil@cpms
Sorry - should have said:

non superimposable

no flipping

equilateral convex hexagons

Thanks

phil - Jul 19th 2006, 11:50 PMmalaygoelQuote:

Originally Posted by**phil@cpms**

Malay - Jul 20th 2006, 02:14 AMCaptainBlackQuote:

Originally Posted by**malaygoel**

has effectivly specified that they are regular hexagons.

The OP has not specified that they be congruent, but I expect that

is also intended.

RonL - Jul 20th 2006, 06:26 AMSoroban
Hello, Phil

Have you considered playing with some bathroom tiles?

Quote:

How many different ways are there of putting 5 hexagons together

*so that at least one side touches?**

*****Each hexagon must have a common side with at least one other hexagon.

If you're waiting for some Magic Formula, you've a long wait . . .

There are 18 ways.

Do you really expect someone to draw the diagrams?

I refer you to*Polyominoes*by Solomon W. Golomb.

- Jul 20th 2006, 06:29 AMmalaygoel
While I was trying this problem, I confronted a question:

You have six boxes kept in a circle. You have four identical balls. In how many different ways you can put them into it?

Malay