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Results tagged with circle-packing
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user 104330
12
votes
Accepted
Is the maximal packing density of identical circles in a circle always an algebraic number?
Yes indeed, they are all algebraic. The idea is that we can describe the critical $r$ as a first-order formula in the language of fields, something like
$$\forall r_1\quad ((0 < r_1 \wedge r_1 \le r)\ …
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