Otetromino

Otetromino is a geometric shape composed of eight connected squares in a 3x3 grid, similar to a tetromino but with one additional square. It is a type of polyomino, a shape made by joining one or more squares edge to edge. The otetromino was first introduced in the game Tetris, where it appears as a rare and challenging piece to place. In Tetris, the otetromino is often referred to as the "Octomino" or "Big O," but in the context of polyominoes, it is properly called an otetromino.

The otetromino has several unique properties. It is the smallest polyomino that cannot be divided into smaller polyominoes without breaking one or more squares. This makes it a fundamental shape in the study of polyominoes. Additionally, the otetromino is one of the few polyominoes that can tile a plane without gaps or overlaps, a property it shares with the tetromino and the pentomino.

In the game of Tetris, the otetromino is a powerful piece that can clear multiple lines at once, making it a valuable tool for advanced players. However, its rarity and the challenge of placing it make it a sought-after piece for Tetris enthusiasts. The otetromino's unique shape and properties make it an interesting subject of study in both mathematics and game design.