I know how the tome works, but what do the inscriptions on the counting cube, writing cube, and skull mean or represent? Are their inscriptions used as a code for something? Is it just an Easter egg, or is it apophenia? Again, I'm only interested in the meaning of these patterns, not their symbolic translation.
I don't know if there's any meaning to the skull cube.
For the number and writing cubes, I cannot definitively prove that there is no additional meaning behind them, but there does not seem to be any evidence implying otherwise. Taken at face value, they're clearly tools for Fez denizens to stamp out numbers and letters. This is implied by:
Each face is unique.
Each known number glyph corresponds to one of the number cube's faces in some orientation.
Each known letter glyph corresponds to one of the writing cube's faces in some orientation.
The raised portions of each face correspond to where ink appears when you normally see Fez-world writing.
The writing cube and the counting cube [¡¡¡¡¡SPOILERS!!!!!] are used in the heart room, after collecting all 3 red cubes, if look at the writing cube and enter the code: LTRTRTLTRTLTLTLT and then look at the counting cube and enter the code: RTRTRTLTRTRTLTLT the red cube will disintegrate. Be careful, in the XBLA version this code may corrupt your savefile.
It seems like nothing happens next, but I think there is still things to be discovered
so the writing cube and counting cubes are for writing kinda like pens for us, but they imprint. you can twist and turn the figures on the blocks to match their alphabet or numbers (translations shown in this article)1
The Artifact for the Numbers, and Alphabet is to show what they use to write. When going inside the room where the skull Artifact was, Dots said "I can feel the Universe in here." after getting the skull Artifact Dots Said something like. "They Really were Here!". My Theory states that the Artifact Explained more about story and the Skull is just proof that the "Visitors" were really in that world.
The counting cube has the zuish numbers on it. the line on the top means 1. Rotate 1 clockwise ⟳ once and it's 2. Rotate 1 clockwise ⟳ twice and it's 3.
Rotate 1 clockwise ⟳ thrice and it's 4.
A blank square is 0.
Now, for numbers that look different, like 5, think 1+4=5.
put the images for 1 and 4 together to make 5.
The numbers even have different images
5 could be
don't use the same number to make a number
don't use 0 to make a number
The writing cube has the zuish numbers
and 6 images rotating the images will let you see every zuish letter.letters
Tome/Book and skull
The tome can be used with the skull and hexahedron's pattern in the boiling room to make a code I think? I found out that skull's eyes on page of the tome "E6" says 👁1 E 👁2 E 👁3 R.
Tome & Skull artifacts