A friend has sent me an interesting meta-puzzle, but we need to start with the first one.

Attached is a black and white figure divided into four regions. That challenge is to divide the white regions into 2, 3, 4, and 5 congruent pieces.

More explicitly, one of the white regions will be subdivided into 2 congruent regions. Another into 3, and so on.

Can you find a solution?

The second phase will follow later, but I think this is interesting enough in its own right.

Please put solutions and spoilers behind a CW.

PS: Classical methods and constructions only. We're in Puzzle World, not Crypto World.

#RecMaths #RecMath #Math #Maths #MathsPuzzle #MathPuzzle #Geometry #GeometryPuzzle

Here's a great problem from Donald Bell ... can you solve it?

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Rectangling the Square:

Is there a set of rectangles, with no repeated length of side, that will tile more than one rectangle?

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To get the context of the problem you'll need to read Donald's DOCX ... I'm not really in a position to extract and reformat it, but I'm hosting a copy here:

http://www.solipsys.co.uk/documents/DonaldBell_RectanglingTheSquare.docx

Love to hear your ideas !!

#MathsPuzzle #GeometryPuzzle #MTBoS

(Boosts welcome for reach)