Intersection of 3 Cylinders always intrigued me, because is not a sphere and when viewed from a certain angle, it looks like a hexagon.
Reference:
http://www.math.harvard.edu/archive/21a_summer_06/handouts/3cylinder.pdf
https://math.la.asu.edu/~nbrewer/Spring2008/MAT267/Footnote18/David%20Hilgers/DavidHilgers.html
Animation by Paul Nylander
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