# Hexagon shapes

• May 26th 2005, 02:49 AM
phil@cpms
Hexagon 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, 06:24 AM
paultwang
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, 06:30 AM
phil@cpms
Sorry - should have said:

non superimposable
no flipping
equilateral convex hexagons

Thanks

phil
• Jul 19th 2006, 10:50 PM
malaygoel
Quote:

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
• Jul 20th 2006, 01:14 AM
CaptainBlack
Quote:

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
• Jul 20th 2006, 05:26 AM
Soroban
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, 05:29 AM
malaygoel
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