Category: article “Straight lines on models of curved surfaces” (2017)

Clebsch diagonal surface with two planes
Clebsch diagonal surface with two planes, from our article “Straight lines on models of curved surfaces”.

In the article “Straight lines on models of curved surfaces”, published in the “Mathematical Intelligencer”, Oliver Labs gives a brief overview of the topic. See here for the article online on the Springer web site.

The text also includes some issues that may occur when trying to produce high quality math sculptures.

In this category, we will provide links to the MO-Labs sculptures mentioned in the article such as the cubic surface with 27 lines and two planes shown above. Here are the first of these. In the near future, we will provide links for the others as well.

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 Cayley/Klein cubic with four singularities in the family room

Our modern version of Klein's historical cubic surface model with four singularities is the main figure in our photo from the series "math sculptures in context". It is the pure white version with its 9 straight 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.