The labyrinth ofpolyominoes
  • intro
  • catalog
  • symmetry
  • classes
  • packing
  • tiling
  • genealogy
  • glossary
  • links
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​
Full Table
Classes Fork

Fork polyomino

A fork is a diamond that is diagonally directed. The name comes from the fact that these polyominoes (for small sizes) look like a forked snake tongue or a fork in the road.

A fork without punctures is also called directed convex.

Symbol

Dir41\textrm{Dir}_{4}^{1}Dir41​

Regex

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

State Diagram

rululd

Polyomino list

ru2luld2
5
6
7
8
ru3luld2
6
7
8
ru3luld3
7
8
ru2lu2ld2
8
ru4luld3
8