Mostly because they didn't have a picture to go with the Wikipedia article...
https://en.wikipedia.org/wiki/Curve_of_constant_width
So here it is folks, the eighth-order polynomial defined by:
(x^2+y^2)^4 - 45(x^2+y^2)^3 - 41283(x^2+y^2)^2 + 7950960(x^2+y^2) +
16(x^2-3y^2)^3 + 48(x^2+y^2)(x^2-3y^2)^2 + (x^2-3y^2)x[16(x^2+y^2)^2 -
5544(x^2+y^2)+266382] - 720^3
[also see https://arxiv.org/pdf/1504.06733.pdf pg. 21]
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