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
ClassesCrescent

Crescent polyomino

Crescent polyominoes are polyominoes that are orthogonally directed in three directions. This creates concavities only on one side, thus creating a "crescent" shape. By definition, they are both bent trees and range charts.

Symbol

Dir30\textrm{Dir}_{3}^{0}Dir30​

Regex

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

Polyomino list

ruluruld2rd
6
7
8
ru2luruld2rd
7
8
ruluruld2rd2
7
8
ru2lurululd2rd
8
ru2luruld3rd
8
ruluru2ld2rd
8
ru2luruld2rd2
8
ruluruld3rd2
8
ruluru2ld3rd
8