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The Sarti surface

The symmetry group of the icosahedron A5 is a subgroup of SO(2). The bipolyhedral group I is the image of A5xA5 in SO(4). It has exactly two invariants of degree 12:

formula

Note that

formula

Now let X12={243 S12-22 Q12=0}.

[image of X12 (120x120 pixel)] 58K

This surface is invariant under the bipolyhedral group I and has exactly 600 nodes. It was discovered by A. Sarti (Erlangen) in 1999.


Stephan Endraß
Last update: Thursday, 06-Feb-2003 08:53:00 MET

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