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Square Root Of The Rectangle!
- The article explores the concept of folding a rectangle into a square and determining the number of folds based on the rectangle's dimensions.
- Initially perceived as a silly thought, the idea persisted in the author's mind, leading to a deeper investigation.
- After struggling manually, the author turned to a Python code, which surprisingly simplified the calculations in about ten lines of code.
- The process involves dividing one side of the rectangle in half until it matches the length of the other side.
- The article discusses patterns where one side must be a power of two and the other side a multiple of the first.
- Following a general formula, the author tested various numbers and successfully reached a square after 2148 folds.
- However, the limitation of floating-point numbers in computers caused discrepancies in the results as the numbers approached equality.
- The author's friend explained that due to machine precision, the code might return seemingly accurate results that are actually too close to differentiate.
- This limitation led to the realization that only a specific equation (*) could solve the concept, with other numbers infinitely approaching 0 but never reaching a 0x0 square.
- The article concludes by highlighting the application of mathematical concepts in everyday life and the importance of curiosity and learning in exploring complex problems.
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