The case with 6 dice is also interesting. It is the first case which has 21 different possible results and where it’s also possible to achieve the result zero. Let us leave all details for the reader. Perhaps some student of mathematics would like to delve further into this.

Links:

Playing with 1 inverted die [1]

Playing with 2 inverted dice [1] [2]

Playing with 3 inverted dice [1] [2] [3]

Playing with 4 inverted dice [1] [2] [3] [4]

Playing with 5 inverted dice [1] [2] [3] [4] [5]

Playing with many  inverted dice