1

Square using Congruent Pentominoes


Analysis and Copyright : ISHINO Keiichiro (2005).

  1. Tetrominoes
  2. Pentominoes
  3. Hexominoes
  4. Heptominoes
  5. Octominoes
  6. Nonominoes
  7. Decominoes
  8. Undecominoes
  9. Dodecominoes

Pentominoes

Piece#Shape 8×8 7×7 6×6 Remark
×Sols ×Sols ×Sols
1
OOOOO
12 1 9 62 7 2
2
OOOO
O...
12 5,934 9 892 7 2
3
OOOO
.O..
12 29 8 13,421 6 154
4
OOO
OO.
12 954,280 9 43,759 7 18
5
OOO
O.O
11 504 8 1,344 6 72
6
OOO
O..
O..
12 1 8 78 6 10
7
OOO
.O.
.O.
10 168 8 3 5 12
8
OOO.
..OO
12 1 8 2,758 6 21
9
OO.
.OO
.O.
11 1 8 82 5 118 11 F-Pentominoes
10
OO.
.OO
..O
12 1 8 113 6 13
11
OO.
.O.
.OO
10 149 7 210 5 27
12
.O.
OOO
.O.
8 7 6 1
possible 8×8 using 9 pieces
(size of square is 7.6026×7.6026 = 17/sqrt(5))
9X

Jul 13, 2005 by k16@chiba.email.ne.jp