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He bases his metrical geometry on “quadrance” (squared distance) and “spread” (squared sine) rather than distance and angle measure.



Then, how does he deal with the the pentagon? because that needs sqrt(5+sqrt(5)) or something similar with two nested square roots.


To deal with pentagons you need to extend the field of rationals by an additional element. Wildberger is kind of ambivalent about finite field extensions.




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