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A Little Game Called Pentominos

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Project by GaryK posted 01-16-2008 08:20 PM 4629 views 79 times favorited 35 comments Add to Favorites Watch
A Little Game Called Pentominos
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Pentominos

Here is a little “game” that is composed entirely of squares or cubes. Squares for a 2D game and cubes for a 3D game.

You start with 60 cubes (I’ll use cubes from here on). You can make them whatever size you want. From the cubes you create the following 12 pieces. (be careful with the u shaped one that you don’t make the gap too small. Upper left one in the picture.) These are all the possible combinations with 5 pieces each.
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To get all long grain to long grain glue up you need to face the end grain up when gluing. I used a small radius on the edges to make the cubes show up better. You could make these from solid pieces of wood but this is simpler.

2D Game
The object of the game is to try to arrange the 12 pieces into rectangles as follows:
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10×6 (2339 solutions)
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12×5 (1010 solutions)
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15×4 (368 solutions)
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20×3 (2 solutions)
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Then there is the 3D Game

The object of the game is to try to arrange the 12 pieces into rectanglular cubes as follows:

5×4 x 3 (3940 solutions)
.

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5×6 x 2 (264 Solutions)
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10×3 x 2 (12 Solutions)
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There are countless shapes possible.
Here are a couple.
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-- Gary - Never pass up the opportunity to make a mistake look like you planned it that way - Tyler, TX





35 comments so far

View PhilipR's profile

PhilipR

17 posts in 2539 days


#1 posted 01-16-2008 08:26 PM

That’s a really cool idea! I don’t think I’ve ever seen anything like it; nice work!

View toyguy's profile

toyguy

1373 posts in 2590 days


#2 posted 01-16-2008 09:23 PM

Looks like a fun game. Makes you think… I like that kind of thing.

-- Brian, Ontario Canada,

View rpmurphy509's profile

rpmurphy509

288 posts in 2608 days


#3 posted 01-16-2008 09:23 PM

All those shapes are made using just the 12 pieces shown at the top?

Very nice, never heard of it either. Looks like another great project!

-- Still learning everything

View Russel's profile

Russel

2199 posts in 2692 days


#4 posted 01-16-2008 09:30 PM

Reminds me of Tetris. Very cool.

-- Working at Woodworking http://www.VillageLaneFurniture.com

View CharlieM1958's profile

CharlieM1958

15817 posts in 2972 days


#5 posted 01-16-2008 09:34 PM

Yeah, I immediately thought of Tetris. Neat project, but I have enough problems making ONE cube at a time!

-- Charlie M. "Woodworking - patience = firewood"

View GaryK's profile

GaryK

10262 posts in 2741 days


#6 posted 01-16-2008 09:37 PM

Where do you think the guy who did tetris got his shapes from?

-- Gary - Never pass up the opportunity to make a mistake look like you planned it that way - Tyler, TX

View Russel's profile

Russel

2199 posts in 2692 days


#7 posted 01-16-2008 09:44 PM

Ah Ha!

-- Working at Woodworking http://www.VillageLaneFurniture.com

View Chris 's profile

Chris

1867 posts in 2744 days


#8 posted 01-16-2008 09:47 PM

Thanks Gary!

-- "Everything that is great and inspiring is created by the individual who labors in freedom" -- Albert Einstein

View cheller's profile

cheller

254 posts in 2862 days


#9 posted 01-16-2008 09:50 PM

Very nice. Thanks for providing the instructions.

-- Chelle http://artsgranddaughter.blogspot.com

View jockmike2's profile

jockmike2

10635 posts in 3000 days


#10 posted 01-16-2008 10:00 PM

Are you saying you invented Tetris? Wow! mike can I have your autograph

-- (You just have to please the man in the Mirror) Mike from Michigan -

View rikkor's profile

rikkor

11295 posts in 2628 days


#11 posted 01-16-2008 10:29 PM

Ok, another project hits my to-do list.

View GaryK's profile

GaryK

10262 posts in 2741 days


#12 posted 01-16-2008 10:51 PM

Mike – Tetris was created by a Russian named Alexey Pajitnov.

-- Gary - Never pass up the opportunity to make a mistake look like you planned it that way - Tyler, TX

View Grumpy's profile

Grumpy

19714 posts in 2604 days


#13 posted 01-16-2008 11:00 PM

Great one Gary. Excellent idea to get the mind working. I wonder if Alexey Pajitnov is now a millionaire?.

-- Grumpy - "Always look on the bright side of life"- Monty Python

View tommyboy's profile

tommyboy

24 posts in 2542 days


#14 posted 01-16-2008 11:49 PM

Outstanding

peace

-- -tommy NJ

View Dadoo's profile

Dadoo

1777 posts in 2744 days


#15 posted 01-16-2008 11:49 PM

This is a great “time killer” for those times when you need to kill some time.

-- Bob Vila would be so proud of you!

showing 1 through 15 of 35 comments

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