The Clebsch diagonal surface: 27 lines only
The sculpture we present here is a 3D-printed modern object consisting of the 27 lines only, and a thin part of the surface as a border.
The Clebsch diagonal surface with colored lines
This version of Clebsch's famous diagonal surface model features colored lines. One intersects the surfaces in a line and a hyperbola, the another one in three lines.
Tetrahedral symmetric cubic
Cubic surfaces are classics from the 19th century. This particular cubic is smooth and has tetrahedral symmetry. All 27 lines are real, but only 24 are visible in the model because 3 are infinitly far away.
The Clebsch diagonal surface with two planes
This version of Clebsch's famous diagonal surface model features colored lines and two additional planes. One intersects the surfaces in a line and a hyperbola, the another one in three lines.
The Clebsch diagonal surface in the family room
Our modern version of Clebsch's historical - nowadays quite famous - diagonal surface model is the main figure in our photo from the series "math sculptures in context". It is the pure white version with the 27 straight lines.