TWSB: So a “Squircle” is a Thing.


And it’s exactly what it sounds like. “A squircle is a shape with properties between those of a square and those of a circle,” according to the almighty Wiki. The general equation for such as shape is (x-a)4 + (y-b)4 = r4, where (a,b) is the center of the squircle and r is the minor radius of the squircle.

A squircle is not a rounded square, which is formed by arranging four quarters of a circle and connecting the loose ends with straight lines. The equation for a squircle is simpler and more generalizable than the rounded square.

So what the heck are squircles used for, other than for amusing people with their name?

Well, apparently the shape is very useful in optics. If a light is passed through a 2-D square aperture, the diffraction pattern’s central spot can be modeled by the squircle.

Squircle dinner plates also have an advantage of their round brethren—a squircle has a larger surface area than a circle with the same radius, but will still occupy the same amount of space in a cabinet. And efficiently wedging dishware into cupboards is what science is all about!

Additional note: a squircle with unequal vertical and horizontal dimensions is called a rectellipse. That sounds like a hemorrhoid medication.

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(The amount of time I spent searching for an “Rx pad generator” just to make that stupid joke is embarrassing.)

One response

  1. Matt Farnsworth's avatar

    I’ve eaten off squircle shaped plates before, I just didn’t know there was a name for that shape.

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