The Shape of the M in the MO-Labs-Logo

The shape of the M in the MO-Labs-Logo is quite special and closely related to the subject of this blog. It belongs to a surface with a so-called cusp singularity, sometimes also called A4-singularity.

Singularities of surfaces are very special points. In most parts of a surface, the shape looks quite smooth, but in some it might not; such points are likely to be singularities.

The particular shape of the surface depicted in our logo is determined by the equation \(x^2-y^2=z^5\). Actually, the logo only shows its silhouette which is essentially the intersection of the surface with the plane \(y=0\), namely the plane curve \(x^2=z^5\):

 

The related Math Objects in our sculpture shop are:

• 27.54 €: An A4-Singularity, height: 81mm (3.2in).
• 30.24 €: Deformation of an A4-Singularity, height: 81mm (3.2in).

Attention: These prices include German VAT (19%). Depending on your country, there might be lower or higher costs. Just click on the links above to see the exact prices in your case on our Sculpture-Shop-Site.

Some related links to external websites:

• A Deformation of an A4-Singularity, Day 8 in the Advent Calendar of Geometrical Animations 2006. By Duco an Straten and Oliver Labs.