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:
“Not from this anger, anticlimax after
Refusal struck her loin and the lame flower
Bent like a beast to lap the singular floods....”
—Dylan Thomas (1914–1953)
“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)
“But ice-crunching and loud gum-chewing, together with drumming on tables, and whistling the same tune seventy times in succession, because they indicate an indifference on the part of the perpetrator to the rest of the world in general, are not only registered on the delicate surfaces of the brain but eat little holes in it until it finally collapses or blows up.”
—Robert Benchley (1889–1945)