Singular Cubic Surfaces
An example of a singular cubic is Cayley's nodal cubic surface
with 4 nodal singular points at and its permutations. Singular cubic surfaces also contain rational lines, and the number and arrangement of the lines is related to the type of the singularity.
The singular cubic surfaces were classified by Schlafli (1863), and his classification was described by Cayley (1869) and Bruce & Wall (1979)
Read more about this topic: Cubic Surface
Famous quotes containing the words singular, cubic and/or surfaces:
“I have found it a singular luxury to talk across the pond to a companion on the opposite side.”
—Henry David Thoreau (1817–1862)
“Mining today is an affair of mathematics, of finance, of the latest in engineering skill. Cautious men behind polished desks in San Francisco figure out in advance the amount of metal to a cubic yard, the number of yards washed a day, the cost of each operation. They have no need of grubstakes.”
—Merle Colby, U.S. public relief program (1935-1943)
“Footnotes are the finer-suckered surfaces that allow tentacular paragraphs to hold fast to the wider reality of the library.”
—Nicholson Baker (b. 1957)