The Labyrinth of Polyominoes

Rectangle $\textrm{Dir}_{4}^{4}$

ruld

1

2

3

4

5

6

7

8

Wedge $\textrm{Dir}_{4}^{3}$

ru(ru)*ld

ru²ld

3

4

5

6

7

8

ru³ld

6

7

8

Staircase $\textrm{Dir}_{4}^{2\textrm{t}}$

ru(ru)*ld(ld)*

ru²ld²

4

5

6

7

8

ru³ld²

5

6

7

8

ru³ld³

6

7

8

ru⁴ld³

7

8

ru⁴ld²

8

ru⁴ld⁴

8

Stack $\textrm{Dir}_{4}^{2\textrm{c}}$

ru(ru)*(lu)*ld

ru²luld

4

5

6

7

8

ru³luld

7

8

Fork $\textrm{Dir}_{4}^{1}$

ru(ru)*(lu)*ld(ld)*

ru²luld²

5

6

7

8

ru³luld²

6

7

8

ru³luld³

7

8

ru²lu²ld²

8

ru⁴luld³

8

Bar chart $\textrm{Dir}_{3}^{2\textrm{c}}$

ru(ru|lu)*ld

ru²luruld

6

7

8

ruluruld

5

6

7

8

ru²lurululd

7

8

ruluruluruld

8

ruluru²ld

8

Diamond $\textrm{Dir}_{4}^{0}$

ru(ru)*(lu)*ld(ld)*(rd)*

ru²luld²rd

5

6

7

8

ru³luld²rd

7

8

ru³luld³rd

8

Wing $\textrm{Dir}_{3}^{1}$

ru(ru|lu)*ld(ld)*

ruluruld²

6

7

8

ru²luruld²

7

8

rulurululd²

7

8

ruluruld³

7

8

ruluru²ld²

7

8

ru²lurululd²

8

ru²luruld³

8

ruluru²ld³

8

ru³luruld²

8

rulurululd³

8

ru²luru²ld²

8

ruluru²luld²

8

Crescent $\textrm{Dir}_{3}^{0}$

ru(ru|lu)*ld(ld)*(rd)*

ruluruld²rd

6

7

8

ru²luruld²rd

7

8

ruluruld²rd²

7

8

ru²lurululd²rd

8

ru²luruld³rd

8

ruluru²ld²rd

8

ru²luruld²rd²

8

ruluruld³rd²

8

ruluru²ld³rd

8

Antler $\textrm{Dir}_{2\textrm{c}}^{1}$

ru(ru|lu|ld(ld)*lu)*ld(ld)*

ruldluruld

7

8

ru²ldluruld

8

rululdluruld

8

ruluruldluld

8

Range chart $\textrm{Dir}_{2\textrm{t}}^{0}$

ru(ru|lu)*ld(ld|rd)*

ruluruldrdld

7

8

ru²luruldrdld

8

ru²luruld²rdld

8

ru²luruldrdldrd

8

Bent tree $\textrm{Dir}_{2\textrm{c}}^{0}$

ru(ru|lu|ld(ld)*lu)ld(ld)*(rd)*

ruldluruldrd

8

ru²ldluruldrd

8

ruluruldluldrd

8

Tree $\textrm{Dir}_{1}^{0}$

ru(ru|lu|ld(ld|rd)*lu)*ld(ld|rd)*

ruluruldrdluld

9

ruluruldluldrdld

9

Other $\textrm{Dir}_{0}^{0}$

ruldluruldrurdld

11

rurdruluruldluldrdld

11

rurdruluruldrdluldrd

11

rurdru²luruldrdluld

11

rurdruluruldrdluld

11

rurdru²ldluruldrdld

11

Rectangle Dir44\textrm{Dir}_{4}^{4}Dir44​

Wedge Dir43\textrm{Dir}_{4}^{3}Dir43​

Staircase Dir42t\textrm{Dir}_{4}^{2\textrm{t}}Dir42t​

Stack Dir42c\textrm{Dir}_{4}^{2\textrm{c}}Dir42c​

Fork Dir41\textrm{Dir}_{4}^{1}Dir41​

Bar chart Dir32c\textrm{Dir}_{3}^{2\textrm{c}}Dir32c​

Diamond Dir40\textrm{Dir}_{4}^{0}Dir40​

Wing Dir31\textrm{Dir}_{3}^{1}Dir31​

Crescent Dir30\textrm{Dir}_{3}^{0}Dir30​

Antler Dir2c1\textrm{Dir}_{2\textrm{c}}^{1}Dir2c1​

Range chart Dir2t0\textrm{Dir}_{2\textrm{t}}^{0}Dir2t0​

Bent tree Dir2c0\textrm{Dir}_{2\textrm{c}}^{0}Dir2c0​

Tree Dir10\textrm{Dir}_{1}^{0}Dir10​

Other Dir00\textrm{Dir}_{0}^{0}Dir00​