The Steiner surface is an image of the projective plane. It is given as a quadratic map from
the sphere, mapping antipodal points to the same point in R^3.
The animation starts from a
polar cap and shows larger and larger pieces of the surface.
The Steiner surface is covered by a family of ellipses. The ellipses are images of the
meridians of the domain sphere. The band between neigboring ellipses is a moebius strip.
The animation moves these Moebius strips over the surface.
This animation shows latitude bands on the surface, starting from a polar disk
and ending at the equatorial Moebius strip. The equator Moebius strip has self
intersections and therefore does not look like usual Moebius strips.
Steiner surface (anaglyph). Initial parts of the coordinate axes lie on the surface.
These segments end in 6 pinch point singularities.
Steiner surface (anaglyph wireframe)
Steiner Surface Parametric Equations
x = (aa * aa / 2) * (sin(2 * u) * cos(v) * cos(v))
y = (aa * aa / 2) * (sin(u) * sin(2 * v))
z = (aa * aa / 2) * (cos(u) * sin(2 * v))
