Homework Problem

[toxic hinge]

Dice can also be (regular) dodecahedrons, which consist of twelve equilateral pentagons. Their sides are then labeled with the numbers from 1 to 12, whose opposite sides add up to 13.
How many such dodecahedral cubes are possible under these conditions?
Thats a Question my 12 grade teacher gave me for homework but i cant seem to find an answer

[opal ledge]

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[toxic hinge]

hello

[stuck vale]

"Such dodecahedral cubes"? What does that mean?

Unless you're talking about, like, cubed numbers somehow relating to a dodecahedron, "dodecahedral cube" makes as much sense as "square circle".

[waxen fox]

Probably typed cubes instead of dice. How do we proceed tho

[lime frigate]

huh, depends if we count reflections or rotations

probably rotations, probably not reflections

so
you can put side 1 on the top
then, there are 5 other symmetrical opposite-side pairs surrounding
fill those with the rest of the number pairs, each has 2 options (which number is on the top row) and ensure to divide by 5 so that you don't quintuple-count the patterns

[lime frigate]

also, what was the point of saying this
use reading comprehension

[stuck vale]

And when the linguistic imprecision so fostered results in them saying something that means something other than what they actually mean?

[lime frigate]

then we determine that at a later point

[stuck vale]

Or we could just promote precision to begin with. Also, like I said, I didn't know if "dodecahedral cube" referred to something to do with cube numbers.

[lime frigate]

i guess

[stuck vale]

In general, it's very poor practice to assume someone meant something other than what they said in math, and very poor practice to get into the habit of not saying precisely what you mean.