Decagonal numbers are graphics derived using the concepts of triangular numbers and square numbers. Extensions of this number pattern are created using non-rotationally symmetric numbers. This number for nested decagons is given by the number of points in the number of nested decagons created.
For example, for the 3rd decagon number, 3 decagon numbers are nested in iX times the number of sides of the decagon. As shown in the picture-
The side of the first external figure = 30
The side of the second external figure = 20
Inner picture Edges in = 10
All shared edges = 6 2
Total = 30 20 10-(6 2) = 52
This result is generalized using the formula 4n2 - 3n .
This gives the decagonal number of n
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