| Project by GaryK | posted 268 days ago | 605 views | 22 times favorited | 27 comments | ![]() |
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.
.
.
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:
.
10×6 (2339 solutions)
.
.
12×5 (1010 solutions)
.
.
15×4 (368 solutions)
.
.
20×3 (2 solutions)
.
.
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)
.
.
5×6 x 2 (264 Solutions)
.
.
10×3 x 2 (12 Solutions)
.
.
There are countless shapes possible.
Here are a couple.
.
.
-- Gary, East TX -- The longest journey begins with a single step.
Your Online Shop - Your Support Is Greatly Appreciated - Your Woodworking Showcase - 3 Ways To Help, Financially - Your Woodworking Community























27 comments so far
PhilipR
home | projects | blog
17 posts in 270 days
posted 268 days ago
That’s a really cool idea! I don’t think I’ve ever seen anything like it; nice work!
toyguy
home | projects | blog
451 posts in 322 days
posted 268 days ago
Looks like a fun game. Makes you think… I like that kind of thing.
-- Brian's Table Top Toys http://home.mountaincable.net/~bgraham/
rpmurphy509
home | projects | blog
292 posts in 339 days
posted 268 days ago
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
Russel
home | projects | blog
1229 posts in 423 days
posted 268 days ago
Reminds me of Tetris. Very cool.
-- When you give someone a chance it may well be their last.
CharlieM1958
home | projects | blog
4191 posts in 703 days
posted 268 days ago
Yeah, I immediately thought of Tetris. Neat project, but I have enough problems making ONE cube at a time!
-- Charlie M. "Woodworking - patience = firewood"
GaryK
home | projects | blog
8483 posts in 473 days
posted 268 days ago
Where do you think the guy who did tetris got his shapes from?
-- Gary, East TX -- The longest journey begins with a single step.
Russel
home | projects | blog
1229 posts in 423 days
posted 268 days ago
Ah Ha!
-- When you give someone a chance it may well be their last.
Chris
home | projects | blog
1229 posts in 475 days
posted 268 days ago
Thanks Gary!
-- Chris
cheller
home | projects | blog
228 posts in 593 days
posted 267 days ago
Very nice. Thanks for providing the instructions.
-- Chelle http://artsgranddaughter.blogspot.com
jockmike2
home | projects | blog
4136 posts in 731 days
posted 267 days ago
Are you saying you invented Tetris? Wow! mike can I have your autograph
-- Mike. Profisher50@yahoo.com
rikkor
home | projects | blog
7632 posts in 359 days
posted 267 days ago
Ok, another project hits my to-do list.
-- Maplewood, MN
GaryK
home | projects | blog
8483 posts in 473 days
posted 267 days ago
Mike – Tetris was created by a Russian named Alexey Pajitnov.
-- Gary, East TX -- The longest journey begins with a single step.
Grumpy
home | projects | blog
5628 posts in 335 days
posted 267 days ago
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
tommyboy
home | projects | blog
7 posts in 273 days
posted 267 days ago
Outstanding
peace
-- peace
Dadoo
home | projects | blog
1536 posts in 475 days
posted 267 days ago
This is a great “time killer” for those times when you need to kill some time.
-- Bob Vila would be so proud of you!
GaryK
home | projects | blog
8483 posts in 473 days
posted 267 days ago
Grumpy – For the first tens year he didn’t make a dime due to the Russian/USSR government, but has since made something off of it. Not sure how much.
-- Gary, East TX -- The longest journey begins with a single step.
Marge
home | projects | blog
129 posts in 438 days
posted 267 days ago
cool
-- Marge, Colorado
YorkshireStewart
home | projects | blog
637 posts in 385 days
posted 267 days ago
Oh yes, I must do a set of these. Thanks Gary.
-- Res severa verum gaudium - True pleasure is a serious business.
RobS
home | projects | blog
1107 posts in 791 days
posted 267 days ago
I like puzzles. These are cool. I don’t know if I could get that percise with my tools. Nice work!
-- Rob (A) Waxahachie,TX
brunob
home | projects | blog
1389 posts in 654 days
posted 267 days ago
I think I’ll try one of these. Looks like a great way to use up some scrap wood.
-- Bruce from Central New York
GaryK
home | projects | blog
8483 posts in 473 days
posted 267 days ago
Rob – They don’t have to be all that precise.
-- Gary, East TX -- The longest journey begins with a single step.
DAN
home | projects | blog
3212 posts in 467 days
posted 266 days ago
really cool posting. when I first looked at it yesterday, I googled Pentominos and spent several minutes surfing sites about them. there are many variations. these wood ones are cool.
will probably make some for christmas next year. good gift idea for teenagers and adults too.
-- ..... art for lifes sake
Dick, & Barb Cain
home | projects | blog
5066 posts in 784 days
posted 266 days ago
Cool project Gary,
I think my 13 year old Grandson would enjoy this one.
I think I’ll make one with multiple colored woods.
-- -** You are never to old to set another goal or to dream a new dream ****************** Dick, & Barb Cain, Hibbing, MN. http://www.woodcarvingillustrated.com/gallery/member.php?uid=3627&protype=1
baredog
home | projects | blog
5 posts in 277 days
posted 262 days ago
i made me a set of these..it took a little time i first used my table saw to cut some oak stock to 3/4 and then used my hand miter box to cut down to 3/4 cube…if any one else has otter idea’s like this plz. post
GaryK
home | projects | blog
8483 posts in 473 days
posted 261 days ago
I just used a table saw for all the cutting, and the router table for the edges.
How about a picture of yours?
-- Gary, East TX -- The longest journey begins with a single step.
mot
home | projects | blog
4837 posts in 521 days
posted 257 days ago
Really neat, Gary! Really neat!
-- You can discover more about a person in an hour of play than in a year of conversation. (Plato)
MorningWood70
home | projects | blog
30 posts in 269 days
posted 250 days ago
I need to make one of those!
-- Eric, www.themorningwoodshow.com