You could also be conversant in Dudeney’s well-known dissection of the equilateral triangle right into a sq.. (A pleasant bodily model is demonstrated right here.) His dissection makes use of 4 items. I imagine this to be the minimal (although I’ve by no means seen a proof).

Now, I shall provide you with superpowers: chances are you’ll dilate (aka resize, aka develop and shrink) any piece or items.

With this new capacity, how few items are required to dissect the equilateral triangle into the sq.? (Said one other manner, you will need to partition the equilateral triangle and sq. every into items such that every piece of 1 is related (however not essentially congruent) to a corresponding piece within the different.)

This is a golf-style query: fewest items wins.