Centered square number, the Glossary
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.[1]
Table of Contents
30 relations: Centered polygonal number, Centered triangular number, Duodecimal, Figurate number, Floyd's triangle, Hypotenuse, Number theory, Octahedral number, Octal, Pythagorean triple, Recreational mathematics, Senary, Square, Square lattice, Square number, Taxicab geometry, Triangular number, 1, 113 (number), 13 (number), 145 (number), 181 (number), 221 (number), 25 (number), 313 (number), 365 (number), 41 (number), 5, 61 (number), 85 (number).
- Quadrilaterals
Centered polygonal number
The centered polygonal numbers are a class of series of figurate numbers, each formed by a central dot, surrounded by polygonal layers of dots with a constant number of sides. Centered square number and centered polygonal number are figurate numbers.
See Centered square number and Centered polygonal number
Centered triangular number
A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other dots surrounding the center in successive equilateral triangular layers. Centered square number and centered triangular number are figurate numbers.
See Centered square number and Centered triangular number
Duodecimal
The duodecimal system, also known as base twelve or dozenal, is a positional numeral system using twelve as its base.
See Centered square number and Duodecimal
Figurate number
The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers). Centered square number and figurate number are figurate numbers.
See Centered square number and Figurate number
Floyd's triangle
Floyd's triangle is a triangular array of natural numbers used in computer science education.
See Centered square number and Floyd's triangle
Hypotenuse
In geometry, a hypotenuse is the side of a right triangle opposite the right angle.
See Centered square number and Hypotenuse
Number theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.
See Centered square number and Number theory
Octahedral number
In number theory, an octahedral number is a figurate number that represents the number of spheres in an octahedron formed from close-packed spheres. Centered square number and octahedral number are figurate numbers.
See Centered square number and Octahedral number
Octal
Octal (base 8) is a numeral system with eight as the base.
See Centered square number and Octal
Pythagorean triple
A Pythagorean triple consists of three positive integers,, and, such that.
See Centered square number and Pythagorean triple
Recreational mathematics
Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research- and application-based professional activity or as a part of a student's formal education.
See Centered square number and Recreational mathematics
Senary
A senary numeral system (also known as base-6, heximal, or seximal) has six as its base.
See Centered square number and Senary
Square
In Euclidean geometry, a square is a regular quadrilateral, which means that it has four sides of equal length and four equal angles (90-degree angles, π/2 radian angles, or right angles).
See Centered square number and Square
Square lattice
In mathematics, the square lattice is a type of lattice in a two-dimensional Euclidean space.
See Centered square number and Square lattice
Square number
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. Centered square number and square number are figurate numbers and quadrilaterals.
See Centered square number and Square number
Taxicab geometry
Taxicab geometry or Manhattan geometry is geometry where the familiar Euclidean distance is ignored, and the distance between two points is instead defined to be the sum of the absolute differences of their respective Cartesian coordinates, a distance function (or metric) called the taxicab distance, Manhattan distance, or city block distance.
See Centered square number and Taxicab geometry
Triangular number
A triangular number or triangle number counts objects arranged in an equilateral triangle. Centered square number and triangular number are figurate numbers.
See Centered square number and Triangular number
1
1 (one, unit, unity) is a number representing a single or the only entity.
See Centered square number and 1
113 (number)
113 (one hundred thirteen) is the natural number following 112 and preceding 114.
See Centered square number and 113 (number)
13 (number)
13 (thirteen) is the natural number following 12 and preceding 14.
See Centered square number and 13 (number)
145 (number)
145 (one hundred forty-five) is the natural number following 144 and preceding 146.
See Centered square number and 145 (number)
181 (number)
181 (one hundred eighty-one) is the natural number following 180 and preceding 182.
See Centered square number and 181 (number)
221 (number)
221 (two hundred twenty-one) is the natural number following 220 and preceding 222.
See Centered square number and 221 (number)
25 (number)
25 (twenty-five) is the natural number following 24 and preceding 26.
See Centered square number and 25 (number)
313 (number)
313 (three hundred thirteen) is the natural number following 312 and preceding 314.
See Centered square number and 313 (number)
365 (number)
365 (three hundred sixty-five) is the natural number following 364 and preceding 366.
See Centered square number and 365 (number)
41 (number)
41 (forty-one) is the natural number following 40 and preceding 42.
See Centered square number and 41 (number)
5
5 (five) is a number, numeral and digit.
See Centered square number and 5
61 (number)
61 (sixty-one) is the natural number following 60 and preceding 62.
See Centered square number and 61 (number)
85 (number)
85 (eighty-five) is the natural number following 84 and preceding 86.
See Centered square number and 85 (number)
See also
Quadrilaterals
- Centered square number
- Happy ending problem
- Newton line
- Newton–Gauss line
- Orthocentric system
- Perpendicular bisector construction of a quadrilateral
- Polite number
- Quadrilateral
- Square number
References
[1] https://en.wikipedia.org/wiki/Centered_square_number
Also known as Centred square number.