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For those with any interest here's a refresher on this object.
The Genie of the D20: An exquisite 20 sided die made of an unknown metal. When rolled by a person a Genie emerges informing the roller that the number they rolled is the number of wishes the Genie will grant. But what the roller doesn't know the die hold 20 different Genie each with different powers, rules, and personalities. So for each wish they will have to deal with a different Genie.
A dodecahedron would a 12 sided die, the word you should have used is icosahedron. /nitpick