Numbered Clebsch Diagonal Surface (with 27 Lines)  . The Clebsch
Diagonal Surface is a non-singular (i.e. smooth) Cubic Surface
originally discovered and documented by Alfred Clebsch (1833 -
1872). The Clebsch Diagonal is a historically important model
and was of great interest to early machine designers and
mathematicians. This model is a recreation of the original
plaster model made by hand in the 1800's under the direction of
Felix Klein. This is a FULL SIZE 1:1 version. It shows the 27
possible lines on a smooth cubic surface and is the "god-head"
of the series of 23 types of singularities possible on a Cubic
Surface (that are also shown on Shapeways). All the lines are
numbered with imprinted numbering of the complex configuration.
In total there are 36 possible ways to number the lines. This
series of Clebsch models show various aspects of the complex
configuration of geometric objects on this famous surface.
Please see the model description to make sure which model
contains which objects in the configu