In elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all other dots surrounding the center dot in successive square layers. That is, each centered square number equals the number of dots within a given city block distance of the center dot on a regular square lattice. While centered square numbers, like figurate numbers in general, have few if any direct practical applications, they are sometimes studied in recreational mathematics for their elegant geometric and arithmetic properties.
The figures for the first four centered square numbers are shown below:
Read more about Centered Square Number: Relationships With Other Figurate Numbers, Properties
Famous quotes containing the words centered, square and/or number:
“The difference between style and taste is never easy to define, but style tends to be centered on the social, and taste upon the individual. Style then works along axes of similarity to identify group membership, to relate to the social order; taste works within style to differentiate and construct the individual. Style speaks about social factors such as class, age, and other more flexible, less definable social formations; taste talks of the individual inflection of the social.”
—John Fiske (b. 1939)
“The square dance fiddler’s first concern is to carry a tune, but he must carry it loud enough to be heard over the noise of stamping feet, the cries of the “caller,” and the shouts of the dancers. When he fiddles, he “fiddles all over”; feet, hands, knees, head, and eyes are all busy.”
—State of Oklahoma, U.S. public relief program (1935-1943)
“In a number of other cultures, fathers are not relegated to babysitter status, nor is their ability to be primary nurturers so readily dismissed.... We have evidence that in our own society men can rear and nurture their children competently and that men’s methods, although different from those of women, are imaginative and constructive.”
—Kyle D. Pruett (20th century)