mathematics, the centered polygonal numbers are a class of series of figurate numbers, each formed by a central dot, surrounded by polygonal layers of dots...

In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon: 2-3 . These are one type of 2-dimensional figurate...

Retrieved January 25, 2025. Pentagonal number Polygonal number Centered polygonal number Weisstein, Eric W. "Centered pentagonal number". MathWorld. v t e...

In additive number theory, the centered polygonal number theorem states that every positive integer is a sum of at most n+2 centered n-gonal numbers. In...

In additive number theory, the Fermat polygonal number theorem states that every positive integer is a sum of at most n n-gonal numbers. That is, every...

Knowing the triangular numbers, one can reckon any centered polygonal number; the nth centered k-gonal number is obtained by the formula C k n = k T n − 1 +...

centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center...

Decagonal number Centered polygonal number Centered square number Centered pentagonal number Centered hexagonal number Tetrahedral number Pyramidal number Triangular...

a polygon (/ˈpɒlɪɡɒn/) is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain...

centered polygonal number, 181 is: a centered square number, a centered pentagonal number, a centered dodecagonal number, a centered 18-gonal number,...

the nth centered square number is half of the nth odd square number plus 1, as illustrated below: Like all centered polygonal numbers, centered square...

polygonal numbers, either just the usual kind or both those and the centered polygonal numbers. The mathematical study of figurate numbers is said to have...

equal. More generally regular skew polygons can be defined in n-space. Examples include the Petrie polygons, polygonal paths of edges that divide a regular...

article from 2002 was comprehensive at the time. Centered polygonal number theorem Fermat polygonal number theorem, that every positive integer is a sum...

the symmetry group of the polygon, and the number of sides, h, is the Coxeter number of the Coxeter group. These polygons and projected graphs are useful...

circular arc centered on the opposing vertex, and Reuleaux polygons can be formed by a similar construction from any regular polygon with an odd number of sides...

nonagonal numbers. This conjecture was confirmed as true in 2023. Centered polygonal number theorem Dickson, L. E. (June 7, 2005). History of the Theory of...

graphics, polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes. Polygonal modeling...

1051 = centered pentagonal number, centered decagonal number 1052 = sum of 9 positive 6th powers 1053 = triangular matchstick number 1054 = centered triangular...

polygonal chain to be merged into a single longer side. Two vertices are neighbors if they are the two endpoints of one of the sides of the polygon....

practical number, an admirable number, and a Catalan number. The 42-sided tetracontadigon is the largest such regular polygon that can only tile a vertex...

A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers,...

42-sided polygon (3.7.42). Otherwise, for any regular n-sided polygon, the maximum number of intersecting diagonals (other than through its center) is at...

quadratae secundae". The number of cubes in an octahedron formed by stacking centered squares is a centered octahedral number, the sum of two consecutive...

natural number following 50 and preceding 52. Fifty-one is a pentagonal number as well as a centered pentagonal number and an 18-gonal number the 6th...

Places on Mars that display polygonal ground may indicate where future colonists can find water ice. Low center polygons have been proposed as a marker...

406 = 2 × 7 × 29, sphenic number, 28th triangular number, centered nonagonal number, even nontotient, Narayana's cow number HTTP status code for "Not...

[and] forty-seven) is the natural number following 146 and preceding 148. 147 is the fourth centered icosahedral number. These are a class of figurate numbers...

regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that...

it a central polygonal number The age Ming had before dying. 508 = 22 × 127, sum of four consecutive primes (113 + 127 + 131 + 137), number of graphical...