Pentomino

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A pentomino is a polyomino of five squares. The ancient pentomino puzzle uses free pentominoes.

The shapes

There are 12 free pentominoes. Six of them are chiral, making a total of 18 one-sided pentominoes.

Symmetric

..........
..IIIII...
..........

I

...TTT....
....T.....
....T.....

T

...G.G....
...GGG....
..........

U

...L......
...L......
...LLL....

V

...Z......
...ZZ.....
....ZZ....

W

....T.....
...TTT....
....T.....

X

Chiral

These come in mirrored pairs:

.J......L.
.JJJ..LLL.
..J....L..

F

..SS..ZZ..
..S....Z..
.SS....ZZ.

Z

J........L
JJJJ..LLLL
..........

L

.I......I.
IIII..IIII
..........

Y

..SS..ZZ..
SSS....ZZZ
..........

N

.OO....OO.
.OOO..OOO.
..........

P

Naming conventions

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There is no universally agreed upon convention for naming one-sided pentominoes.

Pentomino names in various games/conventions
Game / Convention
.....
IIIII
.....
...J.
...J.
.JJJ.
..T..
..T..
.TTT.
.Z.Z.
.ZZZ.
.....
...L.
..LL.
.LL..
..O..
.OOO.
..O..
S....
SSSS.
.....
...I.
IIII.
.....
..JJ.
JJJ..
.....
TT...
.TTT.
.....
..Z..
ZZZZ.
.....
.L...
LLLL.
.....
.OO..
.OOO.
.....
..SS.
.SSS.
.....
..I..
..II.
.II..
..J..
.JJ..
..JJ.
.TT..
..T..
..TT.
..ZZ.
..Z..
.ZZ..
Wikipedia[1] I V T U W X J L N' N Y Y' P Q F F' Z S
Jstris[2] I5 V5 T5 U5 W5 X5 J5 L5 S5 Z5 TL TJ OZ OS TS TZ LL JJ
Techmino[3] I5 V T5 U W X J5 L5 H N Y R P Q F E Z5 S5
Spirit Drop I5 V5 T5 U5 W5 X5 J5 L5 h5 h'5 y5 r5 P5 Q5 f'5 f5 Z5 S5
Shiromino I5 V T5 U W X J5 L5 G N Ya Yb P Q Fa Fb Z5 S5

Official games that use pentominoes

Incomplete.

Non-official games that use pentominoes

Very incomplete.

References