Make:

Every once in awhile you see these Tetris things and almost every one of them has pieces that don't exist in Tetris. How lazy can you be to take such shortcuts?

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Every one of these pieces is a regular Tetris shape.

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the two 1x1 squares...

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Different Tetris clones have different shapes. I'v seen and played plenty with the single block squares. Even officially licensed Nintendo versions. Just because they might not drop down as a single block square, doesn't mean one of the other pieces will become a single square when you complete a line.

In some games, they are a dropping piece.
In some games, a completed line leaves a single block above the completed line.
In some games, completing a line that leaves blocks (including single blocks) above it won't require them to drop down.
In some games, you can start with a handicap of a couple of random blocks.

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the fact that they are falling implies to me that the artist thought they were pieces that can fall in the game.

There might be variants that have pieces like this as well as ways to have these pieces end up in the original, but wouldn't it be more elegant to have only the basic original ones?

It would be different if there were a larger numbers of different ones, but having only those two single blocks really stands out to me and makes it look like a mistake.

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this is in fact, very difficult, if not impossible to do with the tools mentioned above. From my attempt at it, it is evident that glass cut with those scoring tools only breaks in straight lines.

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