In The Real Plane
In a Cartesian coordinate system with coordinates (x, y) the unit square is defined as the square consisting of the points where both x and y lie in a closed unit interval from 0 to 1 on their respective axes.
That is, the unit square is the Cartesian product I × I, where I denotes the closed unit interval.
It is not known whether any point in the plane is a rational distance from all four vertices of the unit square. However, no such point is on an edge of the square.
Read more about this topic: Unit Square
Famous quotes containing the words real and/or plane:
“I’m real ambivalent about [working mothers]. Those of use who have been in the women’s movement for a long time know that we’ve talked a good game of “go out and fulfill your dreams” and “be everything you were meant to be.” But by the same token, we want daughters-in-law who are going to stay home and raise our grandchildren.”
—Erma Bombeck (20th century)
“with the plane nowhere and her body taking by the throat
The undying cry of the void falling living beginning to be something
That no one has ever been and lived through screaming without enough air”
—James Dickey (b. 1923)