Steiner's Roman SurfaceThe real projective plane can be embedded in sixspace in a highly symmetric form; this, in turn, can be projected into fourspace, again as an embedding. This is known as the Veronese surface. Projections of the Veronese surface into threespace necessarily have local selfintersection known as pinch points. One such projection is the crosscap, and another is Steiner's Roman surface shown here. This projection has six pinch points connected by three segments of selfintersection 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.


