quattuortrigintagonal
A quattuortrigintagonal number is a figurate number that extends the concept of polygonal numbers to a 43-sided polygon (a tetracontatrigon). These numbers represent a central dot surrounded by layers of dots forming a regular 43-gon. The study of figurate numbers, including quattuortrigintagonal numbers, dates back to ancient Greek mathematics, where they were explored as a way to visualize numerical relationships.
The nth quattuortrigintagonal number can be calculated using the formula:
Here, *n* represents the number of dots on a side of the polygon. For example, the first
Quattuortrigintagonal numbers are part of a broader family of polygonal numbers, which include triangular, square, pentagonal,
These numbers are rarely encountered in practical applications but remain a fascinating topic in recreational mathematics