TFBCON2003 (Art/Other)

Steiner's Roman Surface The real projective plane can be embedded in six-space in a highly symmetric form; this, in turn, can be projected into four-space, again as an embedding. This is known as the Veronese surface. Projections of the Veronese surface into three-space necessarily have local self-intersection known as pinch points. One such projection is the cross-cap, and another is Steiner's Roman surface shown here. This projection has six pinch points connected by three segments of self-intersection which cross at a triple point at the center. The symmetry group for the Steiner surface is a subgroup of the octahedral group. This image appears on the poster Computer Graphics in Mathematical Research for the ICMS meetings in Beijing. Information on this surface from the ICMS poster

TFBCON2003 Web Pages Created: 13 Oct 2003 Last modified: Oct 15, 2003 11:08:01 AM Comments to: dpvc@union.edu

Dimension Cornucopia Tom Banchoff's Mathematical Artwork Colored Klein Bottle