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For questions about sequences of integers. References are often made to the online resource oeis.org.
4
votes
What is the smallest size of a shape in which all fixed $n$-polyominos can fit?
Proof outline for $\Omega(n^{2-\varepsilon})$
Choose a positive integer $k$ which will determine that $\varepsilon=\frac{1}{k}$.
Now consider the problem of embedding the 1 dimensional $k$-block shape …