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## Let me provide the math and measurements of one angle as it consists of one parameter only.

$$\alpha =$$arc$$\sin (\frac{\sqrt{\sqrt{3}}}{2}) \approx 41.150335^\circ$$﻿

## Now the beauty of something outside of Human Imagination comes into the question:

Can you decompose the circle into a finite number of pieces and reassemble them to get square?[equidecomposability, it means it may not be cut be scissors but yes it can be done somehow]

## Hilbert’s 3rd Problem exactly deals with this problem:

Given any two polyhedra of equal volume, is it always possible to cut the first into finitely many polyhedral pieces which can be reassembled to yield the second?