A paneled approximation of the Clebsch diagonal cubic surface.
Wikipedia describes 27 exceptional lines, shown here in red, blue and green. The surface has 10 Eckardt points where 3 lines meet. Seven of them are shown here as yellow balls. The other 3 are defined by the three sets of 3 parallel coplanar green lines that each meet at infinity.
The 7 visible Eckardt points form 3 additional lines, not on the curve, shown here as brown lines through the Eckardt points.
