# Polyomino Rectification with Holes

A *polyomino* is a figure made by joining equal squares
edge to edge.
Some polyominoes can tile rectangles.
Most cannot.
Here I show minimal tilings of rectangles,
allowing single-cell holes in the interior of the rectangle.
The holes may not touch, even at corners.

I omit polyominoes with fewer than 5 cells.
When minimal rectangles for such polyominoes exist, they have no holes.

Thanks to Jenard Cabilao for suggesting allowing holes when tiling
rectangles.

For rectification without holes, see Mike Reid's
Rectifiable
Polyomino Page.

### 1 Tile

### 2 Tiles

### 8 Tiles

### 10 Tiles

### 1 Tile

### 2 Tiles

### 4 Tiles

### 10 Tiles

### 16 Tiles

### 49 Tiles

### 1 Tile

### 2 Tiles

### 6 Tiles

### 8 Tiles

### 10 Tiles

### 12 Tiles

### 16 Tiles

### 20 Tiles

### 22 Tiles

### 24 Tiles

### 26 Tiles

### 36 Tiles

### 1 Tile

### 2 Tiles

### 4 Tiles

### 6 Tiles

### 10 Tiles

### 11 Tiles

### 12 Tiles

### 23 Tiles

### 24 Tiles

### 26 Tiles

### 30 Tiles

### 1 Tile

### 2 Tiles

### 4 Tiles

### 8 Tiles

### 12 Tiles

### 20 Tiles

### 24 Tiles

### 25 Tiles

### 28 Tiles

Last revised 2023-09-17.

Back to Polyomino and Polyking Tiling
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Polyform Tiling
<
Polyform Curiosities

Col. George Sicherman
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