A superellipse is only a squircle if *a* and *b* are 1. As with squares and rect...

adharmad · 2025-03-29T00:43:07 1743208987

Unrelated but on the topic of squircles, an interesting factoid:

Among all squircles having arbitrary exponents (|x|^p + |y|^p = 1), PI (3.14159...) is the smallest value of ratio of circumference to diameter.

There is a paper on this with the pithy title "π is the Minimum Value for Pi": https://www.tandfonline.com/doi/abs/10.1080/07468342.2000.11...

kretaceous · 2025-03-29T04:39:50 1743223190

> if a and b are 1

If a and b are equal* (not just 1). A circle is a special case of ellipse where a and b are equal and the eccentricity is 0. This is the same principle.