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Making the Perfect Heart

Constructing a Perfect Heart Shape from a Square and Two Circles

Ian's constructive geometry method for the perfect heart. I assume everyone remembers how to draw a perfect square using just compasses and a straight edge, right? I imagine there is an age gap there!

We make Valentine’s cards for one another here. This year I went out on a quest for the perfect heart-shape. A good blend between proportion, curve, and size. The best I discovered was very simple. Take a square, and use two adjacent sides as the diameters of circles. The result, when rotated by 45 degrees, is a darn fine heart shape, though I say it myself.

And the best bit of all is it is really easy to program, when you want to create a card with ten thousand hearts on it, for example 🙂

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