A move is one circle being moved to another place.

Here's an image of what I'm talking about;


Which is able to be done in 3 moves.

A more challenging one-challenge-accepted

How many moves minimum?

  • 6
    $\begingroup$ You'll need to specify what a "move" is. $\endgroup$
    – Duncan
    Commented May 24, 2016 at 23:31

1 Answer 1


The number of moves required is:


The formula is:

$$h = \text{height of triangle}\\\text{moves}=\left\lfloor\dfrac{h(h+1)}6\right\rfloor$$

Image of solution:


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