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See Figure 15 on page 8: https://web.archive.org/web/20200618202007/https://www.dynam...

The egg is constructed of four distinct arcs based on four different points, plus two of them mirrored.

Thanks. This makes more sense. I was curious why the _inner_ point mattered, when the fourth point is actually the one on the side.

I don't know exactly what you mean, but the name of this shape is consistent with the naming of traditional geometric constructions like the "five-centered arch" and the "three-centered arch" (see many diagrams online for details of these constructions).

So "four-centered egg" might make more sense to you, though it could also be called the "six-centered egg", because it includes both sides, unlike the classical arch constructions.

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