Picture of 18 smooth reflexive polytopes of dimension 3

The article that was linked by David G. Stork actually contains information about how one can get these pictures. Namely, the SageMath computer algebra system contain a database of all reflexive polytopes and the figure from the article includes their position in this database (off by one). You can do much more with these objects in Sage than just getting their polar dual. Thus I can give you easily more than just a picture, I can give you a 3D model that you can rotate and zoom in your browser. Just paste the following code into SageMathCell and hit Evaluate.

# change the number from 1 to 18
n = 3
polytopes_list = [1, 5, 6, 7, 8, 25, 26, 27, 28, 29, 30, 31, 82, 83, 84, 85, 219, 220]

P = ReflexivePolytope(3, polytopes_list[n-1]-1)
dP = P.polar()
dP.plot3d()

Not sure if this will help...

Süß, Hendrik. "Fano Threefolds with 2-Torus Action: A Picture Book." Documenta Mathematica 19 (2014): 905-940. (PDF download.)
Abstract. ...we give a combinatorial description for smooth Fano threefolds admitting a $2$-torus action.

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