1. ## Coins

You have 6 coins arranged in a 3-2-1 triangle your tasks is to make it into a heaxagon by moving one coin at a time. ( see image below for clarity.)

RULES

1) You can only slide the selected coin so that it does not move another
2) Once moved the selected coin must touch two others at it resting place

NB At the start and finish, all of the coins must be touching, the picture below is a representation

What is the smallest number of moves needed to accomplish this exercise?

2. ## Re: Coins

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">Four moves</span hide> is the best I managed.

Alan

3. ## Re: Coins

<span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold"> I have that also</span hide>

4. ## Re: Coins

I don't know how to hide this, but isn't <span style="background-color: #FFFF00; color: #FFFF00; font-weight: bold">2</span hide> sufficient?

StuartR

5. ## Re: Coins

I guess it depends on how you interpret the rules, but after your 1st move, 5 would be "trapped" and couldn't be moved to its final position without disturbing 6 and/or 4.

Alan

6. ## Re: Coins

Hi Stuart

As Alan mention on your second move the coin would be "trapped" as the coin has to be slid. having said that i was scamblig around my pockets to find coins of the same size and all I could find sitting in my pencil pot was the numerical keys from a smashed up keyboard ( don't ask me why I have them, I just have <img src=/S/grin.gif border=0 alt=grin width=15 height=15>)

Your version would work if you used square counters as there would not be a disturbance of the other counters. As Alan states it is a matter of interpretation and I am not going to be too pedantic as it is an ingenious answer so you can have a [chocolate bar]

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