# From one, to another, to another, to another and to another

The answer to this puzzle is a word. No knowledge other than trivial is needed.

• Made an edit guys. Since it's been unsolved for quite some time now I edited the puzzle to what I initially planned it to look like. Commented Jul 24 at 10:32
• That wasn’t difficult to work out its just what’s come below it that’s difficult and trying to find a word out of all of it…
– PDT
Commented Jul 24 at 11:27
• @PDT Yeah, but I also think it looks more complete now Commented Jul 24 at 11:31
• Interesting use of 'quite some time'...! Only 13 hours - you've clearly got used to some fast solves of late! :)
– Stiv
Commented Jul 24 at 11:39
• @Stiv Yup, definitely so. I often expect my puzzles to be solved within a short period of time because they often do (depending on the type of puzzle ofc). This one requires different type of thinking though, so I'm not very surprised it hasn't been solved yet. Commented Jul 24 at 11:56

The word is ...

... VIEWPOINT.

It is clear ...

... that we are looking at the same tower of cubes from different viewpoints. The views are numbered: The front, top, left side, right side and rear views have the numbers 1, 2, 3, 4 and 5 respectively.

The missing view is the top view.

What do we know about the cubes?

Let's look at the top cube first. We know the letters from views 1, 3, 4 nd 5. We don't know the letters on the top and bottom sides.

We can know only two letters from the orange cubes and at most two letters from the yellow cubes.

In particular, we know this about the cubes whose top faces are visible:

U.WXY. red
V.X... O..R.. ...KL. orange
H.J... M..... S..V.. ...Q.. ...GH. yellow

The letters are numbered according to the given enumeration. The gaps in the red cube are easily filled with a V and a Z to form a stretch of consecutive letters, but the other cubes can be filled in in this manner, too:

UVWXYZ red
VWXYZA OPQRST HIJKLM orange
HIJKLM MNOPQR STUVWX NOPQRS DEFGHI yellow

(Unfortunately, only the cubes that are relevant for the solution have this property, which I find unfortunate. For example, there' a cube with two F's at the edge between the left and read sides.)

• Thanks. I'm not so sure I described it well, but the picture helps, I guess. I saw what was going on only after I wrote a little program to raw the tower, which used global enumeraions and defined the letters by the given strings ("H.J..."), but because the pattern only applies to the relevant cubes (a mistake, in my opinion), it took me a while. (Also, after having looked at yesterday's stolen paper puzzle, I briefly thought "Oh, so it's hijabi again, is it?") :) Commented Jul 25 at 12:06