1. ## Hexagon shapes

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

Phil

2. 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.

3. Sorry - should have said:

non superimposable
no flipping
equilateral convex hexagons

Thanks

phil

4. Originally Posted by phil@cpms
Sorry - should have said:

non superimposable
no flipping
equilateral convex hexagons

Thanks

phil
What is meant by flipping(I am not good in english)?

Malay

5. Originally Posted by malaygoel
What is meant by flipping(I am not good in english)?

Malay
Flipping - picking up and turning over - not relevant here as the OP
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

6. Hello, Phil

Have you considered playing with some bathroom tiles?

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.

7. 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