Consider a convex polygon such that:
- Each of its sides correspond to the square root of a positive integer.
- The polygon can be inscribed in an unit circle.
Determine the total number of polygons that simultaneously satisfy the 2 properties mentioned above.
Note: Polygons that are rotations and reflections of each other are considered the same.
Like an engineering structure, the text begins with the calculations of the frame and loads on the supports, the establishment of correspondences and proportions, and only then it is covered with a design shell, that is, language. When the scaffolding is removed, the design is revealed, but if there is a void in the middle, the text structure will collapse. It is not the process that determines the product, but on the contrary, the product determines the process.
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