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Everything about Nonagonal number
Type of figurate number
A nonagonal number, or an enneagonal number, is a figurate number that extends the concept of triangular and square numbers to the nonagon. However, unlike the triangular and square numbers, the patterns involved in the construction of nonagonal numbers are not rotationally symmetrical. Specifically, the nth nonagonal number counts the dots in a pattern of n nested nonagons, all sharing a common corner, where the ith nonagon in the pattern has sides made of i dots spaced one unit apart from each other. The nonagonal number for n is given by the formula:. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Nonagonal numberA 5-minute orientation
- Skim a recent paper: Solving fuzzy assignment problem using nonagonal fuzzy numbers in root mean square methodInfluential work since 2022
- Pick up a classic book: Nonagon NumbersThe most-reprinted book on the subject
- Read the landmark paper: A Proof of Pollock’s Conjecture on Centered Nonagonal NumbersCited 2 times
- Go sideways: Centered nonagonal numberA closely related topic
- Go sideways: Hexagonal numberA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A Proof of Pollock’s Conjecture on Centered Nonagonal Numbers
110.04 A nonagonal number theorem
Nonagonal Neutrosophic Number and its Application in Optimization Technique
Fuzzy Assignment Problem with Ranking of Generalized Nonagonal Fuzzy Number Using Centroid of Centroid
Generalizations of Pollock’s centered nonagonal numbers conjecture
Proof Without Words: Centered Nonagonal Numbers are Triangular
Pythagorean triangles and addition of nonagonal, triangular numbers
Proof Without Words: A Relationship of Heptagonal and Nonagonal Numbers
🆕 Influential since 2022
Solving fuzzy assignment problem using nonagonal fuzzy numbers in root mean square method
Proof Without Words: Hex and Nonagonal Numbers Relationship via the Floret Pentagonal Tiling
Expanding the Horizons of Nonagonal Neutrosophic Numbers as a Versatile Framework for Decision-Making and Scientific Applications in COVID-19
đź“š Books worth reading
- 📕Nonagon NumbersGregory Zorzos · 2010
- 📕Nonagon SumGregory Zorzos · 2010
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Centered nonagonal number A centered nonagonal number, (or centered enneagonal number), is a centered figurate number that represents a nonagon with a dot in the center and all…
- Hexagonal number A hexagonal number is a figurate number. The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of…
- Centered square number 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…
- Pentagonal number A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the construction…
- Centered polygonal number In mathematics, the centered polygonal numbers are a class of series of figurate numbers, each formed by a central dot, surrounded by polygonal layers…
- Octagonal number In mathematics, an octagonal number is a figurate number. The nth octagonal number on is the number of dots in a pattern of dots consisting of the outlines…
- Triangular number The triangular numbers or triangle numbers are the sequence of positive integers that can be represented as a lattice of points arranged in an equilateral…
- 204 (number) 204 (two hundred [and] four) is the natural number following 203 and preceding 205. 204 is a refactorable number. 204 is a square pyramidal number: 204…