MathDB

Find the largest natural number

n

such that any set of

n

tetraminoes, each of which is one of the four shapes in the picture, can be placed without overlapping in a

20 \times 20

table (no tetramino extends beyond the borders of the table), such that each tetramino covers exactly 4 cells of the 20x20 table. An individual tetramino is allowed to turn and flip at will. https://cdn.artofproblemsolving.com/attachments/b/9/0dddb25c2aa07536b711ded8363679e47972d6.png

Problem Statement