The movie shows the projection into three-space of deformations of the cone over the rational normal curve of degree four, which is embedded in five-space. This singularity can be deformed in two essentially distinct ways, as was discovered by H. Pinkham. The projection and the properties of the two projected deformations were discovered by R. Pellikaan and T. de Jong.
This film was made by Duco van Straten and Oliver Labs using surfex.
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