For MathsJam 2019 I wrote a poem, (Not) Squaring the Circle, which features the construction of squares with the same area as given polygons. To make the poem work I had to omit some of the details of the constructions, and a few people have asked for more information about how they work. There is an explanation of the first part of the poem here. This post explains the second part of the poem, including how to construct squares with the same area as given triangles, pentagons and other polygons.

Continue reading (Not) Squaring the Circle: Explained – Part 2# Tag Archives: constructions

# (Not) Squaring the Circle: Explained – Part 1

For MathsJam 2019 I wrote a poem, (Not) Squaring the Circle, which features the construction of squares with the same area as given polygons. To make the poem work I had to omit some of the details of the constructions, and a few people have asked for more information about how they work. So here is an explanation of the first part of the poem, including some background on the problem and details of how to construct a square with the same area as a given rectangle.

Continue reading (Not) Squaring the Circle: Explained – Part 1# (Not) Squaring the Circle

Continue reading (Not) Squaring the CircleSo 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

# Ruler Compass Animations

It’s well known that you can’t use a ruler and compass to construct a square with the same area as a given circle. But did you know that you can use a ruler and compass to construct a square with the same area as a given rectangle? Or triangle? Or other polygon?

Continue reading Ruler Compass Animations