i am starting to think that the hex dices may actually not be completely random as it has a top and bottom so it may depend a lot on the way you throw the dice. you may favor one side more than the other!
maybe using a regular dice is better, they are easier to come by too.
or maybe using a Teetotum with 16 sides (although i have never seen one with 16 sides). here is a picture of one with 12:
![](https://ip.bitcointalk.org/?u=https%3A%2F%2Fupload.wikimedia.org%2Fwikipedia%2Fcommons%2F0%2F01%2FTeetotum_1881.png&t=663&c=HqMbd_s-7KWrnA)