Pentomino: Difference between revisions
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The ancient [[pentomino puzzle]] uses free pentominoes. | 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 === | |||
{| | |||
|- valign="top" | |||
|{{pfstart}} | |||
{{pfrow| | | | | | | | | | }} | |||
{{pfrow| | |I|I|I|I|I| | | }} | |||
{{pfrow| | | | | | | | | | }} | |||
{{pfend}} | |||
I | |||
|{{pfstart}} | |||
{{pfrow| | | |T|T|T| | | | }} | |||
{{pfrow| | | | |T| | | | | }} | |||
{{pfrow| | | | |T| | | | | }} | |||
{{pfend}} | |||
T | |||
|{{pfstart}} | |||
{{pfrow| | | |G| |G| | | | }} | |||
{{pfrow| | | |G|G|G| | | | }} | |||
{{pfrow| | | | | | | | | | }} | |||
{{pfend}} | |||
U | |||
|- | |||
|{{pfstart}} | |||
{{pfrow| | | |L| | | | | | }} | |||
{{pfrow| | | |L| | | | | | }} | |||
{{pfrow| | | |L|L|L| | | | }} | |||
{{pfend}} | |||
V | |||
|{{pfstart}} | |||
{{pfrow| | | |Z| | | | | | }} | |||
{{pfrow| | | |Z|Z| | | | | }} | |||
{{pfrow| | | | |Z|Z| | | | }} | |||
{{pfend}} | |||
W | |||
|{{pfstart}} | |||
{{pfrow| | | | |T| | | | | }} | |||
{{pfrow| | | |T|T|T| | | | }} | |||
{{pfrow| | | | |T| | | | | }} | |||
{{pfend}} | |||
X | |||
|} | |||
=== Chiral === | |||
These come in mirrored pairs: | |||
{| | |||
|{{pfstart}} | |||
{{pfrow| |J| | | | | | |L| }} | |||
{{pfrow| |J|J|J| | |L|L|L| }} | |||
{{pfrow| | |J| | | | |L| | }} | |||
{{pfend}} | |||
R and F | |||
|{{pfstart}} | |||
{{pfrow| | |S|S| | |Z|Z| | }} | |||
{{pfrow| | |S| | | | |Z| | }} | |||
{{pfrow| |S|S| | | | |Z|Z| }} | |||
{{pfend}} | |||
S and Z | |||
|{{pfstart}} | |||
{{pfrow|J| | | | | | | | |L}} | |||
{{pfrow|J|J|J|J| | |L|L|L|L}} | |||
{{pfrow| | | | | | | | | | }} | |||
{{pfend}} | |||
J and L | |||
|- | |||
|{{pfstart}} | |||
{{pfrow| |I| | | | | | |I| }} | |||
{{pfrow|I|I|I|I| | |I|I|I|I}} | |||
{{pfrow| | | | | | | | | | }} | |||
{{pfend}} | |||
Y' and Y | |||
|{{pfstart}} | |||
{{pfrow| | |S|S| | |Z|Z| | }} | |||
{{pfrow|S|S|S| | | | |Z|Z|Z}} | |||
{{pfrow| | | | | | | | | | }} | |||
{{pfend}} | |||
G and N | |||
|{{pfstart}} | |||
{{pfrow| |O|O| | | | |O|O| }} | |||
{{pfrow| |O|O|O| | |O|O|O| }} | |||
{{pfrow| | | | | | | | | | }} | |||
{{pfend}} | |||
P and Q | |||
|} | |||
== External links == | == External links == | ||
*[http://en.wikipedia.org/wiki/Pentomino Pentomino on Wikipedia] | *[http://en.wikipedia.org/wiki/Pentomino Pentomino on Wikipedia] | ||
Revision as of 03:36, 8 February 2008
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
I |
T |
U | |||
V |
W |
X |
Chiral
These come in mirrored pairs:
R and F |
S and Z |
J and L | |||
Y' and Y |
G and N |
P and Q |
