UFOs -- Unidentified Figurative Objects. A Geometric Challenge
| dc.creator | Bruschek, C. | |
| dc.creator | Gann, S. | |
| dc.creator | Hauser, H. | |
| dc.creator | Wagner, D. | |
| dc.creator | Zeillinger, D. | |
| dc.date | 2005-12-07 | |
| dc.date.accessioned | 2026-07-07T06:54:58Z | |
| dc.date.available | 2026-07-07T06:54:58Z | |
| dc.description | Choose a polynomial in three variables with not more than three or four monomials of moderate degree. Take simple coefficients as 1 and -1. Then draw a picture of the solution variety in real three space using a ray-tracing program like POV-Ray, Surf or Spicy. Go to your colleague in the next room, show her/him the picture and ask for a suitable equation. This is the theme of the article: The problem of recognizing the algebraic definition of a geometric object, in this case a real algebraic surface. We do not offer any answers or results. 24 surfaces are presented, each in two different views, but without equations. The reader may try to find them -- or consult the calendar at http://www.hh.hauser.cc, where the equations are displayed one per day together with a short animation of the surface. | |
| dc.description | 14 pages, 49 figures | |
| dc.identifier | https://arxiv.org/abs/math/0512160 | |
| dc.identifier | http://arxiv.org/abs/math/0512160 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106131 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | History and Overview | |
| dc.title | UFOs -- Unidentified Figurative Objects. A Geometric Challenge | |
| dc.type | text |