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Everything about Decagonal number

Figurate number representing a decagon

In mathematics, a decagonal number is a figurate number that extends the concept of triangular and square numbers to the decagon. However, unlike the triangular and square numbers, the patterns involved in the construction of decagonal numbers are not rotationally symmetrical. Specifically, the n-th decagonal numbers counts the dots in a pattern of n nested decagons, all sharing a common corner, where the ith decagon in the pattern has sides made of i dots spaced one unit apart from each other. The n-th decagonal number is given by the following formula. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Decagonal numberA 5-minute orientation
  2. Skim a recent paper: Applying a Fuzzy Ordering Approach in Transportation Problems with Decagonal Intuitionistic Fuzzy NumbersInfluential work since 2022
  3. Pick up a classic book: Aperiodic CrystalsThe most-reprinted book on the subject
  4. Read the landmark paper: A New Reverse Order Pentadecagonal, Nanogonal and Decagonal Fuzzy Number with Arithmetic OperationsCited 3 times
  5. Go sideways: Particular values of the Riemann zeta functionA closely related topic
  6. Go sideways: Heptagonal numberA closely related topic

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