Kreisel hollow, Exhibit Size

To illustrate the shape of a spinning top as a solution set of a simple algebraic equation needs some inventive mathematics! It is, indeed, not clear mathematically, at first sight, what this equation must look like because different equations can provide similar looking forms. The image shows the equation 60(x^2+y^2)z^4 = (60-x^2-y^2-z^2)^3, which 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 Kreisel 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.