Pentomino Tiles

Here is the full collection of Pentomino Tiles.  

Pentominos are the geometric shapes composed of FIVE squares connected orthogonally in a 2D plane.  They are one square bigger than the pieces used in Tetris, which as known as Tetroninoes.

One-Sided Pentominoes allow for rotation [in the plane] and translation, but not reflection.

More specifically these are the 12 'Free' Pentominoes. If you consider reflections as distinct tiles, then there are 18 one-sided Pentominoes.

I've included all 'Free' Pentominoes here.  To obtain the full set, print two copies or duplicate and flip the P, Q, R, S, Y & Z shapes.

Each of the twelve pentominoes satisfies the Conway criterion; hence, every pentomino is capable of tiling an infinite plane.

What to print:

One of each shape:

1 x Pentomino - O Tilestl

1 x Pentomino - P Tile.stl

1 x Pentomino - Q Tile.stl

1 x Pentomino - R Tile.stl

1 x Pentomino - S Tile.stl

1 x Pentomino - T Tile.stl

1 x Pentomino - U Tile.stl

1 x Pentomino - V Tile.stl

1 x Pentomino - W Tile.stl

1 x Pentomino - X Tile.stl

1 x Pentomino - Y Tile.stl

1 x Pentomino - Z Tile.stl

The models do not need supports and can be printed with standard settings. Advanced printers may want to iron the top surface to create a smoother look to the puzzle pieces.

These models are TILEs, not cubes, they are about a third of the height of the cubic models I've uploaded, but the same length and width - so they'd fit onto the game boards if printed at 100% scale.  If you scale any model, please remember the scaling factor and apply it to all models if you'd like them to be compatible.

How To Play:

Rotate and flip the tiles so they tile into a rectangle. The following rectangles can be made:

6 x 10

5 x 12

4 x 15

3 x 20

Have fun and see if you can make the rectangle and how many different ways you can find to arrange them!

Further Information:

Wikipedia - https://en.wikipedia.org/wiki/Pentomino

Tiling puzzles -https://web.ma.utexas.edu/users/smmg/archive/1997/radin.html#:~:text=Pentominoes%20are%20shapes%20that%20use,L%2C%20P%2C%20and%20N.