SURFACES IN THE STYLE OF J. STEINER ET AL.

Wilhelm M. Pieper (Germany)

Received December 24, 2007

References:

[1] Gerd Fischer, Editor, Mathematische Modelle, Friedr. Vieweg and Sohn, Braunschweig, Wiesbaden, 1986. [2] Gerd Fischer, Editor, Mathematische Modelle: Kommentarband, Friedr. Vieweg and Sohn, Braunschweig, Wiesbaden, 1986. [3] E. Goursat, Etude des surfaces qui admettent tous les plans de symetrie d‘un polyedre regulier, Ann. Sci. Ec. Norm. (3) 4 (1887), 159-200. [4] R. W. H. T. Hudson, Kummer’s Quartic Surface, Cambridge University Press, 1990 (First published in 1905). [5] E. Kummer, Über Strahlensysteme, deren Brennflächen Flächen vierten Grades mit sechzehn singulären Punkten sind, Collected Papers II, pp. 448-452. [6] J. Neider, T. Davis and M. Woo, OpenGL Programming Guide, Addison Wesley, Reading, MA, 1993. [7] V. Nikulin, On Kummer surfaces, Math. USSR Izvestija 9 (1975), 261-275. [8] W. M. Pieper, Multifocal surfaces and algorithms for displaying them, J. for Geometry Graphics 10(1) (2006), 37-62.

Keywords and phrases: implicit surfaces, surface of Steiner, surface of Kummer, surface of Goursat, Platonic bodies, central planes, polynomials of higher order, radial projection.