Square Tetris

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The New Tetris, Square mode of Tetris Worlds, and Lockjaw: The Overdose reward the player for creating 4x4 block squares out of four tetrominoes. Building wide platforms (flat top sides) into the top of a square in progress allows more than one such square to be built at once, keeping options open for handling any tetromino.

Monosquares

It is best to use rotational symmetry (also called the "spiral" method or the "swastika" method) to make monosquares with platforms 3 blocks wide.

Spiral L monosquare, on both sides:

LL
LL
LLLL
LLLL
LLLL
LLLL
LLLL
LLLLLLL
LLLLL
LLLLL
LLLLLLL
LLLLLLLL
LLLLLLLL
LLLLLLLL
LLLLLLLL

Spiral J monosquare, on both sides:

JJ
JJ
JJJJ
JJJJ
JJJJ
JJJJ
JJJJ
JJJJJJJ
JJJJJ
JJJJJ
JJJJJJJ
JJJJJJJJ
JJJJJJJJ
JJJJJJJJ
JJJJJJJJ

Spiral T monosquare, on both sides:

TT
TTTT
TT
TTTTTT
TTTT
TTTT
TT
TTTTTT
TTTT
TTTTTT
TTTTTTTT
TTTTTTTT
TTTTTTTT
TTTTTTTT
TTTTTTTT

L on the left and J on the right require a double slide (see below).

Multisquares

SJSJ | ZLZL:

SSZZ
SSZZ
JJLL
JL
JSSZZL
SSZZ
JJSSZZLL
JSSZZL
JSSZZL
SSZZ
JJSSZZLL
JSSJLZZL
JSSJLZZL
SSJJLLZZ

JSSJ | LZZL:

JL
JJJLLL
SZ
SSZZ
JSZL
JJJLLL
SZ
SSSZZZ
JSSSZZZL
JJJSZLLL
SJJJLLLZ
SSSJLZZZ
JSSSZZZL
JJJSZLLL

ZLTT | SJTT:

ZS
ZZSS
ZS
LLLJJJ
LZSJ
ZZSS
ZS
LLLJJJ
LZSJ
ZZTTSS
ZTTTTTTS
LLLTTJJJ
LZTTTTSJ
ZZTTTTSS
ZTTTTTTS

ZLLZ | SJJS (This is possible in The New Tetris but relies on uncommon wall kicks. The trick is to have the Z or S in the right rotation and take it down so that the bottom square is resting on the top square of the outer L or J, then rotate away and then towards the construction in quick succession.):

ZS
ZZSS
ZS
LLLJJJ
LZSJ
ZZSS
ZS
LLLJJJ
LZSJ
ZZLJSS
ZLLLJJJS
LLLZSJJJ
LZZZSSSJ
ZZZLJSSS
ZLLLJJJS

STTJ | ZTTL:

SSZZ
SSZZ
TT
TTTT
TSSZZT
SSZZ
TTTTTTTT
TTTTTT
TSSZZT
SSZZ
TTTTTTTT
TTTJLTTT
TSSJLZZT
SSJJLLZZ

TZTJ | TSTL:

TT
TTTT
TT
ZZSS
TZZSST
TTTT
TT
ZZSS
TZZSST
TTTTTT
TTTTTTTT
ZZJJLLSS
TZZJLSST
TTTJLTTT
TTTTTTTT

LTZT | JTST:

LJ
LJ
LLJJ
TTTTTT
LTTJ
LJ
LLJJ
TTTTTT
LTTJ
LZZSSJ
LLZZSSJJ
TTTTTTTT
LTTTTTTJ
LZZTTSSJ
LLZZSSJJ

LTTI | JTTI:

LJ
LJ
LLJJ
TTTTTT
LTTJ
LJ
LLJJ
TTTTTT
LTTTTJ
LTTTTJ
LLTTJJ
TTTIITTT
LTTIITTJ
LTTIITTJ
LLTIITJJ

LSIL | JZIJ (requires double slide):

LJ
LJ
LLJJ
LSZJ
LSSZZJ
LLSZJJ
IIIIIIII
LSZJ
LSSZZJ
LLSZJJ
IIIIIIII
LSLLJJZJ
LSSLJZZJ
LLSLJZJJ

Double slide

The New Tetris uses smooth falling animation for tetrominoes. The way this implementation mixes the falling animation with collision detection means that a tetromino can normally slide only one block under an overhang unless there is something on the floor to support it.

There are, however, ways of getting a new piece further under the overhang in The New Tetris by rotating the piece in the right direction at the right time.

External links