This is for game design notes on the idea of "training" dice to be more powerful.
What do I mean by that?
First, the basic groundrule: The only dice being referred to here is a standard D6 - and though the concept about to be described could extrapolate to other shaped dice (perhaps not as cleanly), it would likely get too complicated too quickly).
A D6 traditionally is seen as having 6 scoring faces.
However, it could also be seen to have 12 scoring edges and 8 scoring corners. The value of an edge is the sum of both adjoining faces, and that of a corner is the sum of the three adjoining faces.
- The 6 face values are: 1,2,3,4,5,6
- The 12 edge values are: 3,4,5,5,6,6,8,8,9,9,10,11 (range of 3-11 but 7 impossible)
- The 8 corner values are: 6,7,9,10,11,12,14,15 (range of 6-15 but 8 and 13 impossible)
- There are unique face values: 1,2
- There is overlap between face and edge values: 3,4,5,6
- There are unique edge values: 8 (achievable two ways: 2+6 or 3+5)
- There is overlap between edge and corner values: 6,9,10,11
- There are unique corner values: 7,12,14,15
- There is a single value that overlaps face/edge/corner: 6
That every metric has both unique values and shared values is the key to the training regime:
Dice begin their training as face and roll.
If they roll a value shared with another scoring style, then they attempt to train at the style they have overlapped to (with 6 being triple-way meaning the new training is as edge, regardless if the previous was face/edge/corner.
A dice may roll many times, levelling up into edge and corner training, and down into edge and face training.
When they roll a value that is unique to that scoring method, their training ceases and they are assigned that scoring style from there.
Thus, given a pool of dice, after training a player will have some dice which are scored by faces, some by edge, and some by corners.
From there, some kind of dice battle game?
- Dice vs dice?
- in-game re-training?
If training begins on faces, then the results is that the ratio of F:E:C dice is 2:1:1 (split by quarters)
If training begins on edges, then the results is a FEC ratio of 2:3:3 (split by eights)
If training begins on corners, then the results is a 2:3:11 ratio (split by 16ths)