Solutions for Act V Scene 4 - Diced

The use of traditional Rubik's cube colours as well as traditional dice-face symbols on the squares in the image suggest we are interested in cubes. The title Diced, itself meaning "cut into cubes", further supports this fact, as well as emphasising the dice property over the Rubik's cube one.

Counting up the squares reveals there are 24 of each of the six colours, as well as 24 tiles with screws in them. This along with the shapes of the tiles' edges suggests we want to fold them up into 24 cubes, with the likely restriction that each cube has a different colour on each face. A further restriction is brought about by the fact that 24 tiles are screwed to the surface... these pieces won't fold up, so each screwed-in tile must be the base of one of the 24 unfolded cubes.

Using these two restrictions then gives a unique partitioning of the grid into 24 cube nets, given below:

Now we can fold these dice up, which will give a set of 24 dice whose top-facing colours can be determined from the nets, remembering the screwed-in faces are the dice's bases. This will have used all information except for the number represented by screws on the base of each die. Indeed just as we can extrapolate the top colour from each net, we can extrapolate the top number from each base number, since opposite sides of a die traditionally add to seven. Furthermore when rolling dice, the number we count is the top one, hence our interest in viewing the top of each die.

Putting the correct number on the top of each folded up die then gives us:

From here there are only a few ways to extract letters for our final answer, and it turns out the extraction method we want is to take the nth letter of each colour name, where n is the number on the top of each die (so the first letter in our message is the fifth letter of YELLOW, i.e. O). Reading from left to right, top to bottom, gives the message ORWELLIAN NAG TURNED TO GLUE. This is referencing the George Orwell novella Animal Farm, in which one of the horse characters is diced up and turned into glue. His name is Boxer, a name that fittingly describes anyone who's managed to solve this box-building puzzle.

The answer is: boxer