Busy triangle

You will need six cards ~ or counters ~ numbered with the digits 1~6.

Place the cards in a triangular formation ~

Busy triangle - basic shape
The triangular shape ~ now switch cards around

Your task is to re-arrange the cards ~ still in the triangular formation ~ such that the sum of the digits on three cards on each side of the triangle all add up to the same value. The sums in the picture above are 11~14~9. There is some way to go...

There are several solutions, but it can be quite tantalizing finding even one of them.

You can make your own cards, or buy a set from our shop ~ search for the Dresden Set [dresden].

There is a similar but more difficult task ~ with four cards on each side ~ nine cards altogether [112274].

A solution is available at [126718].


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