The dodecic surface defined by
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(1)
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where
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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(8)
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(9)
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(10)
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(11)
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(12)
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(13)
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(14)
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(15)
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(16)
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and 
are both invariants of order 12. It was discovered by
A. Sarti in 1999.
The version with arbitrary 
and has exactly 600 ordinary
points (Endraß), and taking 
gives the surface with 560 real ordinary
points illustrated above.
The Sarti surface is invariant under the bipolyhedral group.
