How many moves?

Question

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-

How many moves minimum?

$\begingroup$ You'll need to specify what a "move" is. $\endgroup$ – Duncan May 24 '16 at 23:31 — Duncan, May 24 '16 at 23:31

grg · Accepted Answer · 2016-06-01 12:38:38Z

9

The number of moves required is:

18

The formula is:

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

Image of solution:

grg

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answered May 24 '16 at 23:42

LeppyR64

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