A polyomino (no e!) is a shape made of n squares fit together. They must connect with edges. One example is the Tetris pieces. They are all tetrominos, which have 4 sqaures. pentominos havbe five, dominoes have 2, triminos have 3, ect.
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There are 1,192 distinct tetracontdecominoes, which are polyominoes made up of 40 squares. However, if you meant tetracubes (3D analogs), there are 16 distinct tetracubes. Please clarify if you meant a different specific polyomino or polycube type.
A pentomino is a polyomino composed of five congruent squares, connected along their edges. They look a bit like nets, but with only 5 squares. Or some of the 5 square blocks in tetras.