In algebraic geometry, a Barth surface is one of the complex surfaces in 3 dimensions with large numbers of double points found by Barth (1996). Two examples are the Barth sextic of degree 6 with 65 double points, and the Barth decic of degree 10 with 345 double points.
Some admit icosahedral symmetry.
For degree 6 surfaces in P3, it was shown that 65 is the maximum number of double points possible (Jaffe-Ruberman).
Read more about Barth Surface: See Also
Famous quotes containing the words barth and/or surface:
“Marriage is our last, best chance to grow up.”
—Joseph Barth (20th century)
“If the man who paints only the tree, or flower, or other surface he sees before him were an artist, the king of artists would be the photographer. It is for the artist to do something beyond this: in portrait painting to put on canvas something more than the face the model wears for that one day; to paint the man, in short, as well as his features.”
—James Mcneill Whistler (1834–1903)