Difference between revisions of "Pentomino"

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*>Tepples
(→‎Chiral: on second thought it looks more like an H to me)
*>NightmareciBot
m (Robot: Converting to new playfield syntax...)
Line 11: Line 11:
{|
{|
|- valign="top"
|- valign="top"
|{{pfstart}}
|<playfield>
{{pfrow| | | | | | | | | | }}
..........
{{pfrow| | |I|I|I|I|I| | | }}
..IIIII...
{{pfrow| | | | | | | | | | }}
..........
{{pfend}}
</playfield>
I
I
|{{pfstart}}
|<playfield>
{{pfrow| | | |T|T|T| | | | }}
...TTT....
{{pfrow| | | | |T| | | | | }}
....T.....
{{pfrow| | | | |T| | | | | }}
....T.....
{{pfend}}
</playfield>
T
T
|{{pfstart}}
|<playfield>
{{pfrow| | | |G| |G| | | | }}
...G.G....
{{pfrow| | | |G|G|G| | | | }}
...GGG....
{{pfrow| | | | | | | | | | }}
..........
{{pfend}}
</playfield>
U
U
|-
|-
|{{pfstart}}
|<playfield>
{{pfrow| | | |L| | | | | | }}
...L......
{{pfrow| | | |L| | | | | | }}
...L......
{{pfrow| | | |L|L|L| | | | }}
...LLL....
{{pfend}}
</playfield>
V
V
|{{pfstart}}
|<playfield>
{{pfrow| | | |Z| | | | | | }}
...Z......
{{pfrow| | | |Z|Z| | | | | }}
...ZZ.....
{{pfrow| | | | |Z|Z| | | | }}
....ZZ....
{{pfend}}
</playfield>
W
W
|{{pfstart}}
|<playfield>
{{pfrow| | | | |T| | | | | }}
....T.....
{{pfrow| | | |T|T|T| | | | }}
...TTT....
{{pfrow| | | | |T| | | | | }}
....T.....
{{pfend}}
</playfield>
X
X
|}
|}
Line 53: Line 53:
These come in mirrored pairs:
These come in mirrored pairs:
{|
{|
|{{pfstart}}
|<playfield>
{{pfrow| |J| | | | | | |L| }}
.J......L.
{{pfrow| |J|J|J| | |L|L|L| }}
.JJJ..LLL.
{{pfrow| | |J| | | | |L| | }}
..J....L..
{{pfend}}
</playfield>
R and F
R and F
|{{pfstart}}
|<playfield>
{{pfrow| | |S|S| | |Z|Z| | }}
..SS..ZZ..
{{pfrow| | |S| | | | |Z| | }}
..S....Z..
{{pfrow| |S|S| | | | |Z|Z| }}
.SS....ZZ.
{{pfend}}
</playfield>
S and Z
S and Z
|{{pfstart}}
|<playfield>
{{pfrow|J| | | | | | | | |L}}
J........L
{{pfrow|J|J|J|J| | |L|L|L|L}}
JJJJ..LLLL
{{pfrow| | | | | | | | | | }}
..........
{{pfend}}
</playfield>
J and L
J and L
|-
|-
|{{pfstart}}
|<playfield>
{{pfrow| |I| | | | | | |I| }}
.I......I.
{{pfrow|I|I|I|I| | |I|I|I|I}}
IIII..IIII
{{pfrow| | | | | | | | | | }}
..........
{{pfend}}
</playfield>
Y' and Y
Y' and Y
|{{pfstart}}
|<playfield>
{{pfrow| | |S|S| | |Z|Z| | }}
..SS..ZZ..
{{pfrow|S|S|S| | | | |Z|Z|Z}}
SSS....ZZZ
{{pfrow| | | | | | | | | | }}
..........
{{pfend}}
</playfield>
H and N
H and N
|{{pfstart}}
|<playfield>
{{pfrow| |O|O| | | | |O|O| }}
.OO....OO.
{{pfrow| |O|O|O| | |O|O|O| }}
.OOO..OOO.
{{pfrow| | | | | | | | | | }}
..........
{{pfend}}
</playfield>
P and Q
P and Q
|}
|}

Revision as of 03:39, 5 August 2009

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..

R and F

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

S and Z

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

J and L

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

Y' and Y

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

H and N

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

P and Q

External links