Hexomino Oddities

A polyomino oddity is a symmetrical figure formed by an odd number of copies of a polyomino. Here are the minimal known oddities for the 35 hexominoes, as found mostly by Mike Reid. Click on the yellow figures to enlarge them.

Holeless variants are at the end of the page. Figures with an orange background have holeless variants with the same number of tiles.

For pentominoes, see Pentomino Oddities. For heptominoes, see Heptomino Oddities.

  Lateral
on Cell
Lateral
on Edge
Diagonal Rotary Double
Lateral
on Cell
Double
Lateral
on Edge
Double
Diagonal
on Vertex
1
1
None 1
None 1
None
3

Mike Reid
7
None 5

George Sicherman
None 9

Mike Reid
None
None None None None None None None
5
5

Mike Reid
None 5

Mike Reid
None 9

Mike Reid
None
3
3
None 5

Mike Reid
None 7

George Sicherman
None
1
None None ? None ? None
5
5
None 5

Mike Reid
None 7

Mike Reid
None
? ? None 1
None ? None
3

Mike Reid
9

George Sicherman
None 5

Mike Reid
None 11

George Sicherman
None
7

Mike Reid
7

George Sicherman
None 5

Mike Reid
None 17

George Sicherman
None
None None None None None None None
7

George Sicherman
3

Mike Reid
None 7

Mike Reid
None 13

George Sicherman
None
7

George Sicherman
None None 11

George Sicherman
27

George Sicherman
(after Mike Reid)
None None
9

George Sicherman
1
None 11

Mike Reid
None 11

Mike Reid
None
None None 15

George Sicherman
1
None None 15

George Sicherman
None None 1
None None None None
11

George Sicherman
17

George Sicherman
None 7

George Sicherman
None ? None
7

George Sicherman
11

George Sicherman
None 7

Mike Reid
None 21

George Sicherman
None
None None 7

George Sicherman
7

George Sicherman
None None 19

George Sicherman
3
3
None 1
None 3
None
7

George Sicherman
9

George Sicherman
None 9

Mike Reid
None 27

George Sicherman
None
None None None None None None None
7

George Sicherman
5

George Sicherman
None 5

Mike Reid
None 13

George Sicherman
None
5

George Sicherman
5

George Sicherman
None 5

Mike Reid
None 13

Mike Reid
None
1
None None ? ? None None
9

George Sicherman
23

George Sicherman
None 7

George Sicherman
None ? None
13

George Sicherman
None None None None None None
49

George Sicherman
49

George Sicherman
None 1
None 49

George Sicherman
None
3
5

Mike Reid
None 5

Mike Reid
None 7

Mike Reid
None
? 1
None ? None ? None
1
1
None 1
None 1
None
None None 1
5
None None 5
1
11

Mike Reid
None 11

Mike Reid
None 11

Mike Reid
None
17

George Sicherman
33

George Sicherman
None 1
None 33

George Sicherman
None
1
None None 23

George Sicherman
? None None

Holeless Variants

Lateral on Cell

Lateral on Edge

Diagonal

Rotary on Edge

Rotary on Vertex

Double Lateral on Edge

Last revised 2016-06-09.


Back to
Polyform Oddities < Polyform Curiosities
Col. George Sicherman [ HOME | MAIL ]