From Hard Drop - Tetris Wiki
A tetromino is a polyomino or block made of four square blocks. The seven one-sided tetrominoes are I, O, T, S, Z, J, and L. The spelling "tetromino" is standard among mathematicians. The Tetris Company had preferred tetramino around 1999 and has used Tetrimino since 2001.
 The basic tetrominoes
Each tetromino has a letter name and several alternative names. In most games other than Tetris for NES, Tetris & Dr. Mario, or black-and-white systems, each tetrimino has a different color. However, before about 2001, these colors varied from product to product, making it difficult for people who play different games to discuss "the blue piece". Since then, the color schemes associated with SRS and TGM Rotation have dominated new games, and "the blue piece" is always J.
Note that this tetrimino is not found in Tetris Best 2
Other names include square, block and sun.
This piece is used for T-Spins.
Other names include inverse skew and right snake.
Other names include skew, reverse S and left snake.
Other names include gamma, inverse L, reverse L, or left gun.
Other names include right gun.
In The Next Tetris, Sticky mode of Tetris Worlds and Tetris Mania, and Jewelry Master, some tetrominoes are multiminoes, that is, the Tetromino itself is divided into visible components. Though the Tetromino is moved and rotated as a unit, once it locks, the components separate by colors and fall.