In my previous posts on this subject, I have show how to use a 6-sided dice to create a 2-sided, a 3-sided, an 8-sided or even create a 12-sided dice. Today I will show how to use a 6-sided dice to create a 4-sided or 5-sided dice.
Turn a 6-sided dice as a 5-sided dice:
Roll the 6-sided dice, and if you roll a 6, roll again. Do this till you roll a value between 1 and 5. Pretty simple.
Turn a 6-sided dice as a 4-sided dice:
Method 1:
Roll the 6-sided dice, and if you roll a 5 or 6, roll again. Do this till you roll a value between 1 and 4. Pretty simple.
Method 2:
Roll a 6-sided dice. The top of the dice will be ignored — we care about the four sides, not the top. On the four sides there are four values. The lowest value maps to 1, the second lowest value maps to 2, the next highest value is 3 and finally, the highest of the four values is 4. Whichever is facing you is the roll (just map it to the range 1..4). Rank the side facing you among the four sides, and you have created a four sided dice from a six-sided one. Note: If a side is not facing you squarely, turn the dice to the left so that the that side is facing you squarely.
For example, let’s say you roll a 6-sided dice, and the top face showing is the 5. That means that the four sides are { 1, 3, 4, 6 } — and the value of 2 is on the bottom. Of the four sides, one is most facing you. If it is the 6 most facing you, then your answer is 4 because 6 is the 4th of the four numbers on the four sides; it is the largest of the four side values, which are: {1, 3, 4, 6}.
One roll of a six-sided die can be used to generate any number from 1 to 6 (with an equal chance for each of the six). Likewise, I found a way to randomly generate any number from 1 to 8 with one roll of a six sided die (with an equal chance for each of the eight). When you roll a six sided dice, you will be able to see three faces and three faces only — the top and two sides. 
