## 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.

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.

Oliver Labs
2017-03-27T09:15:45+00:00
Alfred Clebsch, all, Carl Rodenberg, Clebsch Diagonal Surface, for mathematicians, Ludwig Schläfli, multiple color sandstone|

A Togliatti quintic surface is a so-called world record surface. Among all quintic surfaces, it has the maximum possible number of singularities, namely 31. Our model is a smoothed version of such a surface.

The photo shows a smoothed Kummer surface in steel (inflated with bronze). This post also features links to plastic versions of this shape. The Kummer surface is a classic from the 19th century; our model is a smoothed version of it.

This so-called Boy surface represents a fascinating example of a non-orientable surface. The first such surface was constructed by Werner Boy in his dissertation in 1902.

Oliver Labs
2017-02-16T13:21:05+00:00
all, for mathematicians, non-orientable surfaces, strong and flexible, Werner Boy|

In the 19th century, Olaus Henrici constructed a model of a quite symmetric cubic surface. This is a modern variant of it, allowing also to look "inside" of it from the bottom.

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.

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.

It was back in the 1872 Göttingen, Germany, at a meeting of the scientific society. Alfred Clebsch and Felix Klein each presented a model of a cubic surface. Our modern versions of these historical - nowadays quite famous - sculptures are the main figures in our photo.

Oliver Labs
2017-02-16T13:23:24+00:00
Alfred Clebsch, all, Clebsch Diagonal Surface, discriminant surfaces, Felix Klein, math sculptures in context, strong and flexible|

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.

Load More Posts

27 lines
45 cubics
algebraic curve
algebraic surface
brass
classics
classification
Clebsch
color
colored lines
cubic surface
curvature
cusp
diagonal surface
double six
gold
gold plated
Henrici
in a cube
jewelry
knot
metal
modern classics
Moebius
Moebius strip
Möbius
one-sided
one edge
parabola
pendant
projection
school
sculpture
silver
singular
singularities
singularity
smoothed
space curve
straight lines
surface of revolution
symmetry
topology
torus knot
world record surface