WoodCentral Forums

Est. 1998 — 27 years of woodworking knowledge

Friday puzzler--triangle of coins

Posts

Friday puzzler--triangle of coins

#1

Friday puzzler--triangle of coins

Alex Y

Six coins are arranged in a triangle as follows:

__O

_O_O

O_O_O

(Ignore the underscores--for spacing only. The coins actually touch.)

In as few moves as possible, move them to this pattern:

_O_O

O___O

_O_O

Easy with just two moves, until we put the following restriction on the moves:

Each move consists of sliding a coin without disturbing another coin, to a position where it is touching two other coins.

With that restriction, how many moves does it take?

For reporting solutions, use the numbering of the coins as

__1

_2_3

4_5_6

Re: Friday puzzler--triangle of coins

#2

Re: Friday puzzler--triangle of coins

Larry Barrett

I did it in 6 moves and I might be able to remember how and do it again.

Re: Friday puzzler--triangle of coins

#3

That's a start

Alex Y

Now yo know that it can be done. But it can be done in fewer moves.

Re: Friday puzzler--triangle of coins

#4

Four moves is the goal


Re: Friday puzzler--triangle of coins

#5

A 5 move solution

Larry Barrett

Here is a 5 move solution:

Start

__1

_2_3

4_5_6

__1

_2__

4_5_6

___3_

__1

_2__

__5_6

___3_4

__1

_2__

__5_6_3

_____4

__1

_2___4

__5_6_3

__1_3

_2___4

__5_6

Re: Friday puzzler--triangle of coins

#6

Hint

Alex Y

Try moving #1 first

👍 This page answered my questions

Your vote helps other woodworkers quickly find the answers and techniques that actually work in the shop.