already been created many puzzles!
those are the ones still remaining:
(1 to 7)

1x1x1 1x1x2 1x1x3 1x1x4 1x1x5
1x2x1 1x2x2 1x2x3 1x2x4 1x2x5
1x3x1 1x3x2 1x3x3 1x3x4 1x3x5
1x4x1 1x4x2 1x4x3 1x4x4 1x4x5
1x5x1 1x5x2 1x5x3 1x5x4 1x5x5

2x1x1 2x1x2 2x1x3 2x1x4 2x1x5
2x2x1 2x2x2 2x2x3 2x2x4 2x2x5
2x3x1 2x3x2 2x3x3 2x3x4 2x3x5
2x4x1 2x4x2 2x4x3 2x4x4 2x4x5
2x5x1 2x5x2 2x5x3 2x5x4 2x5x5

3x1x1 3x1x2 3x1x3 3x1x4 3x1x5
3x2x1 3x2x2 3x2x3 3x2x4 3x2x5
3x3x1 3x3x2 3x3x3 3x3x4 3x3x5
3x4x1 3x4x2 3x4x3 3x4x4 3x4x5
3x5x1 3x5x2 3x5x3 3x5x4 3x5x5

4x1x1 4x1x2 4x1x3 4x1x4 4x1x5
4x2x1 4x2x2 4x2x3 4x2x4 4x2x5
4x3x1 4x3x2 4x3x3 4x3x4 4x3x5
4x4x1 4x4x2 4x4x3 4x4x4 4x4x5
4x5x1 4x5x2 4x5x3 4x5x4 4x5x5

5x1x1 5x1x2 5x1x3 5x1x4 5x1x5
5x2x1 5x2x2 5x2x3 5x2x4 5x2x5
5x3x1 5x3x2 5x3x3 5x3x4 5x3x5
5x4x1 5x4x2 5x4x3 5x4x4 5x4x5
5x5x1 5x5x2 5x5x3 5x5x4 5x5x5

6x1x1 6x1x2 6x1x3 6x1x4 6x1x5
6x2x1 6x2x2 6x2x3 6x2x4 6x2x5
6x3x1 6x3x2 6x3x3 6x3x4 6x3x5
6x4x1 6x4x2 6x4x3 6x4x4 6x4x5
6x5x1 6x5x2 6x5x3 6x5x4 6x5x5

7x1x1 7x1x2 7x1x3 7x1x4 7x1x5
7x2x1 7x2x2 7x2x3 7x2x4 7x2x5
7x3x1 7x3x2 7x3x3 7x3x4 7x3x5
7x4x1 7x4x2 7x4x3 7x4x4 7x4x5
7x5x1 7x5x2 7x5x3 7x5x4 7x5x5

summary:
1x1x4
1x1x5
1x1x7
1x2x6
1x3x6
1x3x7
1x4x7
1x5x7
1x4x5
1x4x6
1x5x5
1x5x6
1x6x6
2x3x6
2x4x5
2x4x6
2x4x7
2x5x6
2x5x7
3x4x7
3x5x6
3x5x7
4x4x7
4x5x6
4x5x7

This is a nice way to map what's out there and what still remains unexplored, except that 83% of the combinations are redundant/repeated. Perhaps it would be better to show only the following combinations:

a x b x c, where a >= b >= c

I love how 3x3 is right in the middle.

Hasn't someone made a 1x2x4? viewtopic.php?f=15&t=14787&p=177884&hilit=1x2x4#p177884

Nice work!

You might change the title of the topic to "Cuboids Left". When I saw "combinations", I thought of things like Skewb+Helicopter.

-π (Eitan)

fixed

I was just thinking about the 1x1xN's. I guess you can make the 1x1x4 & 1x1x5 like the 1x1x2 & 1x1x3...no? I used [for the 1x1x3] lego's. For my 1x1x2 I used 2 mini eastsheen keychains. (same with my 1x2x2)

This really inspires me, I always was trying to think of all the cuboids I could make without being told it had already been made

I've always wanted to see 2x4x6 and 3x5x7 = super shapeshifters!

who made a 1x3x5??

I've never seen one

lol, I love that name.


1x3x5 Barrel

I've seen that one.

But honsetly,
does that look like a 1x3x5 cuboid to you??

It looks like you don't really like my 1x3x5 :p

Greg

That's not what I'm saying..

I like it as a barrel.

But the meaning of the word "Cuboid" is that the puzzle has same sized cubies.
Same thing as the C4Y 3x3x5, it may work as a 3x3x5 but it is not a cubiod.

By that definition, nearly all of your cuboids aren't real cuboids either. For instance on your 1x3x4, I don't see how all the pieces are the same size and they're definitely not cubes either.

I wasn't meaning to prvoke some sort of argument on that :p

Let's say pillowed is still ok... and let's say my barrel is a superpillowed cube on 2 dimensions

Greg

How to make a 1x1x4 Rubik's Cube
http://www.youtube.com/watch?v=uDuVEgylh-c
(ok, no stickers, but it is a 1x1x4)

How about this rule about cuboids:

As long as the puzzle is built as closely as possible to the intended rectangular prism shape, it is considered a cuboid. Therefore, a barrel 1x3x5 is not a cuboid since it is possible to make it more "rectangularprismy" , and Olz's pillowed 1x3x4 IS a cuboid since it is impossible to make it not pillowed (unless you do the thing that Olz did on his 4x4x2, 5x5x3, or 7x7x5 [also known as the "Olzing" method] or some other form of equal variation, like a floppy mech). This also means the c4y 3x3x5, 3x3x7, etc are not considered cuboids as well since it is possible to make them fully proportional.

Hope this helps clarify the situation,

I don't see why huge prejudice against the barrel. Personally, I'm more interested on the mechanism and how the pieces move around each other. The shape/how it looks on the outside doesn't affect this. This is partially why I'm not particularly interested in shape mods of 3x3x3.

Well if you think about it the puzzle pieces for cuboid mechanisms are really all basically the same thing (sort of)

I just find a 1x1x6 here :
http://animaux.lemultiblog.com/1x1x6-Ru ... 4usKw.html
(French site, but there is a video)

updated =P

I have a design for a 1x5x5 with correctly sized cubes. It sure isn't normal but the mech works and allows super shape changing. Maybe it will be my next puzzle to make

I want to see that, PuzzleMaster6262!

ANYWAYS, Door made a cuboid 1x3x5, so arugment's over!

On to the next ones!

Greg

As suggested by Kelvin, I think it's less redundant to list the cuboids in order k<=m<=n.
If you're interested, I've got a fairly up-to-date table with links to forum threads, shapeways shops, etc. at my website - you might find it convenient:

http://robspuzzlepage.com/rearrangement.htm#cuboids-table

At Rob, yes, my 1x2x7 is there! I feel so special

Hmm this gives me ideas!

-Mark-

P.S: The 6x4x3 is still in blue

Can you update it?

It will be nice if you put links on every puzzle made. It's a lot of job but always it's nice have a database.

Good that this was brought up again. Consider the 1x1x4 and the 1x1x5 as existent:

Edited Summary:

Puzzles that are pointless to make (too trivial)
Puzzles The have been made since then
Puzzles that will probably not be made, unless we're out of ideas

1x1x4
1x1x5
1x1x7
1x2x6
1x3x6
1x3x7
1x4x7
1x5x7
1x4x5
1x4x6
1x5x5
1x5x6
1x6x6
2x3x6
2x4x5
2x4x6
2x4x7
2x5x6
2x5x7
3x4x7
3x5x6
3x5x7
4x4x7
4x5x6
4x5x7 [/b][/color][/quote][/quote]

The 2x4x5 has been made by Muffet: http://twistypuzzles.com/forum/viewtopic.php?f=15&p=267711

and the 3x5x7 has been designed, if not made, by Nkrasn11: http://twistypuzzles.com/forum/viewtopic.php?f=9&t=16533

My table is pretty up-to-date (please let me know if I am missing something).

http://robspuzzlepage.com/rearrangement.htm#cuboids-table

Though the scatter plot graphic is a bit out of date at this point.

Rob here is the 3x5x7.

http://twistypuzzles.com/forum/viewtopic.php?f=15&t=20911&start=0&hilit=3x5x7

Thanks, Claus! I had seen that thread but forgot to link to it.
I have updated my table accordingly.
Did you print and build this or should I credit someone else?

I should have looked into my own work:
http://twistypuzzles.com/cgi-bin/puzzle.cgi?pkey=2333

BTW: The 3x5x7 is not entered yet because I do not know the designers name.