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Encyclopedia: Polygonal number Source:Wikipedia
In
mathematics
, a
polygonal number
is a
number
that can be arranged as a regular
polygon
. Ancient
mathematicians
discovered that numbers could be arranged in certain ways when they were represented by pebbles or seeds; such numbers, which can be made from figures, are generally
...
More »
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In mathematics, a polygonal number is a number that can be arranged as a regular polygon. Ancient mathematicians discovered that numbers could be arranged in certain ways when they were represented by pebbles or seeds; such numbers, which can be made from figures, are generally called figurate numbers...
en.wikipedia.org/wiki/Polygonal_number
en.wikipedia.org/wiki/Polygonal_number
In mathematics, the Fermat polygonal number theorem states: every positive integer is a sum of at most n n-polygonal numbers. An example of triangular number case would be 17 = 10 + 6 + 1. A well-known special case of this is Lagrange's four-square theorem, which states that every positive number can...
en.wikipedia.org/wiki/Fermat_polygonal_number_theorem
en.wikipedia.org/wiki/Fermat_polygonal_number_theorem
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Polygonal numbers |
For instance, Melvyn B. Nathanson: "Additive Number Theory -- The Classical Bases", Springer Verlag, New York, 1996, see Chapter 1.1: "Polygonal Numbers", ... in "polygonal - number pyramids"
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Polygonal Numbers |
Triangular Numbers mathworld.wolfram.com/TriangularNumber... The first few triangle numbers are 1, ... Square Numbers mathworld.wolfram.com/SquareNumber... The first few Square Numbers are 1, ...
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PlanetMath: polygonal number |
A polygonal number, or figurate number, ... for integers and . A “generalized polygonal number” is any value of for some integer and any . For fixed , is called a -gonal or -polygonal number.
planetmath.org/encyclopedia/PolygonalNumber.html
planetmath.org/encyclopedia/PolygonalNumber.html
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Figurate and Polygonal Numbers ... Figurate numbers are number sequences that are found by creating consecutive geometrical figures.
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Math Forum: Ask Dr. Math FAQ: Glossary of Numbers |
(A polygonal number is a special type of figurate number.) Sequences of polygonal numbers are based on nested polygons. ... Polygonal Number, from Eric Weisstein's World of Mathematics
mathforum.org/dr.math/faq/faq.number.glossary.html
mathforum.org/dr.math/faq/faq.number.glossary.html
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Polygonal Numbers |
A polygonal number is defined as "A type of figurate number which is a generalization of triangular, ... We again turn to Mathworld for some vital information: Fermat's Polygonal Number Theorem...
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Math Magic - Manipulating Polygonal Numbers |
A. In working with polygonal numbers there are certain patterns that develop when using successive polygonal numbers: ... b. Using the largest number 7, we get 6(7) - 5 or 37.
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Centered Polygonal Number: Information and Much More from ... |
Some good "Centered Polygonal Number" pages on the web:
www.answers.com/topic/centered-polygonal-number
www.answers.com/topic/centered-polygonal-number
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