Select polyominoes for a set (currently 1 or 2), for which tilings should be shown.
Then click "Show" button.
You may also see list of all polyomino sets for which data is available here.
Is rectangular: yes.
Is convex: yes.
Square order: 5.
Odd order: 1.
Prime rectangles: ≥ 1.
Smallest rectangle and smallest odd rectangle (1x5):
Smallest square (5x5):
Blue number - strongly prime rectangle (which cannot be divided into two or more number of rectangles tileable by this set).
Green number - weakly prime rectangle (which cannot be divided into two rectangles tileable by this set, but which can be divided into three or more rectangles).
Purple number - prime rectangle (unknown if weakly or strongly prime).
Red number - composite rectangle (which can be divided into two rectangles tileable by this set).
Gray number - it is unknown whether rectangle is prime or composite.
Question mark (?) - solution count is unknown.
Click on underlined numbers to view picture with one solution.
Smallest prime reptile (5Ix2):
Smallest torus and smallest odd torus (1x5):
Smallest square torus (5x5):
Smallest Baiocchi figure (area 20):
Smallest Baiocchi figure without holes (area 25):