This was actually partially discussed here #229 (comment)

Thinking about it, it could be useful to allow the StandardDice min value to be modified through notation, and for it to offset the sides / max value.

I think it should be fairly simple to implement, but I'd have to run some tests.

I'm not sure what the notation would be for something like that though. Any thoughts?

A couple of idea off the top of my head:

// using "db" for Dice with Base number
db0,3  // roll a 3 sides die, with a min value of `0` (0, 1, 2)
db4,2  // roll a 2 sided die, with a min value of `4` (4, 5)

// square brackets to define a range (Same rolls as above)
d[0, 2]  // roll a dice that has all values between 0, and 2 inclusive (0, 1, 2)
d[4, 5]  // roll a dice that has all values between 4, 5 inclusive (4, 5)

But with no conclusion.

I think what you're suggesting seems like a further enhancement of that suggestion.

When implemented properly it could also be used to create multichoice rolls. For example to roll a random item from multiple tables (such as loot in D&D) you could do d{d8,d20,d100}, of course in that case you would also need to render which side the dice landed on somehow...

Basing this off the examples on AnyDice, and how MathJS handles ranges, I think a reasonable syntax would be:

// roll a die with values between n1 and n2 inclusive
d{n1...n2}

// Same as above
d{n1:n2}}

// Same as above, but with specifying an optional step value
d{n1:s:n2}}

// roll a die with the specific values
d{n1, n2, n3}

For example:

// Roll a dice with a minimum value of 1 and a maximum of 6 (Same as `d6`)
d{1..6}

// Same as above
d{1:6}

// Roll a dice with a minimum of -1 and a maximum of 1 (A Fudge die)
d{-1..1}

// Same as above
d{-1:1}

// Roll a dice with a minimum of -0.5 and a maximum of 10.5, with a step of .25
d{-0.5:0.25:10.5}}

// Roll a die with specific values
d{2, 3, 3, 4}

We can't currently support die notation as a value (e.g. d{d8,d20,d100} as the parser can't handle this at the moment (See #206)

Also, supporting none numbers sides, something like : 2d[blue, red, green] might return blue, green or red, red

In those case, I only see {cp} = working. For example 2d[blue, red, green]=green, or maybe something 2d[blue, red, green]double will give 1 is twice the same value appear.