It turns out that you can have Sicherman d8s. Skip to the end to see three possible Sicherman d8s.
Now I have to ask for blank d8s for Christmas. 🙂
Die #1 - 1 2 2 3 3 4 4 5
Die #2 - 1 3 5 5 7 7 9 11
http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1018&context=mathmidexppap
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I am curious about what the benefit of using these as opposed to normal 2d8 would be.
Very slightly different output curves.
anydice.com – AnyDice