"Infinity-sided dice".
In our world, it's called a sphere :3
8
deleted
· 9 years ago
Is a sphere technically a die though?
10Reply
deleted
· 9 years ago
This is the first time i've actually felt bad for Stan. I feel like he went into the kitchen where Mabel was eating cereal and just put his head down on the table and stayed there for a while
3
deleted
· 9 years ago
"So where is Dip-Grunkle Stan?"
"Mable, I'm not okay. Just....not okay."
Answer to the question I think you have:
Let's define a die as a regular polyhedron of finite and constant surface area. Now take the limit as the number of sides approaches infinity. The area of each side (facet) approaches zero, and the edges become curves. Thus, at the limit, the die is a sphere. (Or an equivalent topological manifold in the case where we do not restrict the polyhedral die model to be regular.)
2
deleted
· 9 years ago
That makes sense, but what if I rolled it? How would you judge what came up, especially if it just kept rolling until it stopped?
They scarred him for life XD
In our world, it's called a sphere :3
"Mable, I'm not okay. Just....not okay."
Let's define a die as a regular polyhedron of finite and constant surface area. Now take the limit as the number of sides approaches infinity. The area of each side (facet) approaches zero, and the edges become curves. Thus, at the limit, the die is a sphere. (Or an equivalent topological manifold in the case where we do not restrict the polyhedral die model to be regular.)