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29 votes
2 answers
1k views

Can a fixed finite-length straightedge and finite-size compass still construct all construct...

I am hoping that the brilliant MathOverflow geometers can help me out. Question 1. Suppose that I have a fixed finite-length straightedge and fixed finite-size compass. Can I still construct all const …
Joel David Hamkins's user avatar
32 votes
3 answers
2k views

Is the hierarchy of relative geometric constructibility by straightedge and compass a dense ...

Consider the hierarchy of relative geometric constructibility by straightedge and compass. Namely, given a geometric figure $B$, a set of points in the plane, we define that geometric figure $A$ is co …
Joel David Hamkins's user avatar