Not really, it’s a triangle. It asymptotically approaches the bell curve (aka the Gaussian distribution, which is infinitely long) at higher die counts but good luck nesting that many.
Let da and db be the results in both d6 dice, the result for the d36 would be 6(da - 1) + db. This gives an equal chance of getting any number between 1 and 36, both included, eg da = 5; db = 5; gives d36 = 29 (which is prime).
It’s just using the result of the dice roll as digits to compose a number in a base 6 positional numeral system.
Maybe it’s not obvious because the formula above is already reduced. Digits in base six can only be 0-5, that’s why there’s a -1 in 6(da -1). Two digits would give us a result between 0-35, that’s why there’s no -1 subtracted from db, I already added 1 to make the range 1-36.
You could use two different dice as well, like a d8 and a d6 to make a d48. Or three or more dice with the same number of faces, eg 3 d6 to make a d216 (they have to be distinguishable, in color, size, style…). For more than two different dice the math would get too messy to be practical, I reckon.
But it is not a d12, it can only roll 2-12, not 1-12.
Also the distribution is a bell curve not flat.
Not really, it’s a triangle. It asymptotically approaches the bell curve (aka the Gaussian distribution, which is infinitely long) at higher die counts but good luck nesting that many.
“what?! ANOTHER seven!” smh… 😂
It’s a 2d6, but could also be read as a d36.
Distinguished, these dice have been.
Yeah, except too bad prime numbers exist
Let da and db be the results in both d6 dice, the result for the d36 would be 6(da - 1) + db. This gives an equal chance of getting any number between 1 and 36, both included, eg da = 5; db = 5; gives d36 = 29 (which is prime).
Very cool, TIL! Is there a name for this mathematical strategy? Both search and AI are failing me
It’s just using the result of the dice roll as digits to compose a number in a base 6 positional numeral system.
Maybe it’s not obvious because the formula above is already reduced. Digits in base six can only be 0-5, that’s why there’s a
-1in6(da -1). Two digits would give us a result between 0-35, that’s why there’s no-1subtracted from db, I already added 1 to make the range 1-36.You could use two different dice as well, like a d8 and a d6 to make a d48. Or three or more dice with the same number of faces, eg 3 d6 to make a d216 (they have to be distinguishable, in color, size, style…). For more than two different dice the math would get too messy to be practical, I reckon.
The mythical D11???
Easy - if you roll a 2, flip a coin to decide if it’s 1 or 2.
A 1 in 72 chance of getting a 1 sounds good to me
😉