From Hard Drop Tetris Wiki
When you do a perfect-clear loop that takes 8 lines to complete, such as First-Second perfect clear, SingleYou or Mountainous Stacking, you will be left with an empty board and an extra piece. A DPC setup will use the extra piece and 2 bags to create a T-Spin and a perfect clear, bringing you back to the beginning with no extra pieces, to continute the loop.
O piece
O -> L (100%)
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Solutions:
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This is a redundant setup that can sometimes get you another Tetris.
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L -> O (100%)
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Solutions:
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These are 2 setups that can get you extra T-Spins.
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S/Z piece
O -> S/Z (100%)
Notably, this shape is the same as the extra O dpc when you have O before L, so it has the same solutions.
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This is a redundant setup that can sometimes get you another Tetris.
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O -> S alt build (100%) This creates the same shape as O dpc when you have L before O
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Solutions:
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These are 2 setups that can get you extra T-Spins.
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S/Z -> O (100%)
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I piece
O -> I
This setup will have to be mirrored depending on whether J or L comes first.
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JL -> O (100%)
This setup will have to be mirrored depending on whether S or Z comes first.
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Solutions:
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These are 2 setups that can get you extra T-Spins.
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I -> O -> L (100%)
This pattern, when mirrored, will cover the bags not covered by the previous 2 setups.
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Solutions:
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J/L piece
Note: These setups are not 100% consistent without 180 spins.
S -> Z If you have the L piece, the piece requirement is flipped.
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Solutions:
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Z -> S
Different builds depending on whether the O or the S comes first. Occasionally, you will only get a T-spin Mini, but the setup makes up for it with it's T-spin chances.
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T piece
There is only 1 pattern needed, however it will need to be mirrored denpding on whether L or J comes first.
(100%)
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Solutions:
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Further research
metallicLuker's Dpc minimals, orientated towards beginners.
smolfeesh's video on the more advanced DPC setups.