Use a 6-sided dice as either a 2, 3, 4, 5, 6, 8 or 12-sided dice

Turn a 6-sided dice into an 8-sided dice
Yesterday I gave a way to roll a 6-sided dice one time and generate a random number from 1 to 8.

Today I will tell you how to roll a 6-sided dice and generate other numbers (where the odds of rolling any of the possible numbers is along an equal distribution).

Turn a 6-sided dice into a 12-sided dice
With a 6-sided dice, you can generate a number from 1 to 12. There are two methods. The first is easier than the method for making your 6-sided dice act like an 8-sided dice (and it is shorter to explain).

Method 1:
Roll the dice and notice that you see three faces — the one on top, and two side faces. If the face to the left is odd, then add 6 the value you rolled (the top face). If it is even, then the value you rolled is the value. This means you get values from 1 to 12! Note: If you only see one side face (because the dice is squarely facing you), then turn the dice slightly to the left and now you see another side face.

Method 2:
There are 12 edges to a cube. That means there is a more complicated way to get these same results as given in Method 1. Using a system not unlike the one I gave for an 8-sided dice, you can uniquely identify each of the 12 edges by multiplying the two numbers that touch each edge. I’ll let you generate the values on your own. The look-up table to map those results back to the numbers 1-12 is unwieldy, so I suggest using Method 1.

Turn a 6-sided dice into a 5-sided dice
I wrote about this after I wrote this post. Read about it here. This is real easy: roll the 6-sided dice, and when you roll a six, just roll again till you get a value between 1 and 5.

Turn a 6-sided dice into a 4-sided dice
I figured this one out after I wrote this original post. Read about it here.

Turn a 6-sided dice into a 2-sided dice
This may be easiest of all. If the number is odd, you rolled a 1, it if is even, you rolled a 2.

Turn a 6-sided dice into a 3-sided dice
Only slightly more complicated then the last one: 1, 2 and 3 stay the same. But if you roll a 4, 5, or 6 then map those back to 1, 2 and 3.

Why?
Someone might be interested to do this if they play Dungeons and Dragons or some other role playing game that requires different kinds of dice. They might also invent a game, and they want to use a random number generator besides the standard 6-sided dice which is widely available. Almost every home has a 6-sided dice in it somewhere, so having these other options can be handy.

Steve

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