Fold-and-Cut Christmas Tree

This time last year, The Aperiodical featured the fold-and-cut Christmas tree I designed in their Aperiodvent calendar. I designed it to use as a Christmas card. Print out the PDF, write a message on the tree, or decorate it if you like, then fold it following the dashed lines. When the recipient cuts along the solid black line, they will open out a beautiful Christmas tree.

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Step in construction of square with same area as pentagon

(Not) Squaring the Circle

So I had this circle, but I wanted a square
Don’t ask why, that’s my affair
The crucial aspect of this little game
Is that the area should stay the same
Ruler and compass are the tools to use
It’s been proven impossible, but that’s no excuse
Many have tried it, but hey, I’m me
I’m bound to find something that they couldn’t see

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