Vis à Vis means opposite – and, here, two essential phenomena of algebraic geometry stand opposite each other. The singular tip on the left looks at a curved but smooth hill on the right. This singularity is more exciting, because various changes to the equation can result in unpredictable changes to the figure, which does not happen at smooth points. The equation x^2-x^3+y^2+y^4+z^3-z^4=0 was suggested to use for the IMAGINARY exhibition by Herwig Hauser.
The 3d-data was produced by Oliver Labs (www.MO-Labs.com) and can be downloaded at the IMAGINARY website.
Find the Vis à Vis and other cool surfaces in the IMAGINARY gallery.
Please note: IMAGINARY is an open source and non-commercial project. All 3d files are available under an open license, such that you can re-print the sculptures for own exhibitions (following the license specifications). To reimburse our "3D data expert", who takes care to polish and prepare the 3d data and to put the sculptures on the Shapeways shop, we added to this sculpture a 10% fee to the Shapeways price. This amount will be used only for work related to offering more 3d data and sculptures openly and freely to everyone. You can also print this sculpture from your own account.