Polyominoes by Directedness
This table categorizes the polyominoes up to octominoes by their directedness class. For classes that have no members with size 8 or less, representatives of the smallest possible size are presented.
Sections stacked on top of each other have a hierarchial relationship: for example, all stack polyominoes are bar charts. Additionally, polyominoes with equivalent boundary words are grouped together.
Rectangle
ruld
Wedge
ru(ru)*ld
Staircase
ru(ru)*ld(ld)*
Stack
ru(ru)*(lu)*ld
Fork
ru(ru)*(lu)*ld(ld)*
Bar chart
ru(ru|lu)*ld
Diamond
ru(ru)*(lu)*ld(ld)*(rd)*
Wing
ru(ru|lu)*ld(ld)*
Crescent
ru(ru|lu)*ld(ld)*(rd)*
Antler
ru(ru|lu|ld(ld)*lu)*ld(ld)*
Range chart
ru(ru|lu)*ld(ld|rd)*
Bent tree
ru(ru|lu|ld(ld)*lu)ld(ld)*(rd)*
Tree
ru(ru|lu|ld(ld|rd)*lu)*ld(ld|rd)*