Just something I cooked up for the 2020 One Page Dungeon Contest:
Rubik’s Cube Random Dungeon:
A better quality .PDF version can be downloaded from here: Link
Probability analysis that nobody (other than me) is probably interested in:
I did a crude probability analysis by generating 50 random cubes, and summed up the squares according to the ‘rules’ just to see how often certain combinations came up and got this:
So, Options 2 + 3 together = 17.6% chance of coming up. Options 8+9 has 4.3% chance of coming up etc. The above sort of looks like a bell curve, although it would be better if 8+9 was swapped for 10+. To allow for this, in my table, I made the results from 8+9 the most improbable outcome.
If not grouped in sets of two, the ‘curve’ is not very uniform:
Options 3 and 5 being very low. Hence why I grouped my outcomes in sets of two as shown in the first graph i.e. to smooth out the bumps.
In case anyone is interested, this is the above data sorted high to low:
Currently, my method generates about 50K options per cube (i.e. 6 to the power 6 options). But, if you increased the options from 6 per aspect to 12 per aspect, you get nearly 3 million options per cube (i.e. 12 to the power 6 options). The above chart might be useful in generating 10 or 12 options per aspect. However, the resultant table will look a bit chaotic i.e. 4 has the highest odds (31.3%) and this is boarded by the two lowest results (both less than 0.5%). This is the equivalent of a random monster table where goblins are boarded by ‘goblins’ are directly boarded by ‘Demogorgon’ and ‘Odin’.
That’s more analysis than anyone needs.
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More of my stuff on DriveThruRPG: https://www.drivethrurpg.com/browse/pub/9524/Goblin039s-Henchman