A classic from the Imaginary Exhibition. The singular locus is a crossing of straight lines. The sections of Helix with the planes x=c or z=c are lemniscates (if c is not 0), whereas the sections y=c are hyperbola pairs. The equation 2x^4+y^2z^2-6x^2=0 was suggested to use for the
IMAGINARY exhibition by Herwig Hauser.
The 3d data was produced by Oliver Labs (
www.MO-Labs.com) based on data originally prepared by the
FORWISS Institute, University Passau . It can be downloaded at the
IMAGINARY website.
Find the Helix and other cool surfaces in the
IMAGINARY gallery.
IMAGINARY is a project by the
Mathematisches Forschungsinstitut Oberwolfach and supported by the
Klaus Tschira Foundation.
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.