Picture of 18 smooth reflexive polytopes of dimension 3 It was proven by Batyrev in 1981
http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=im&paperid=1581&option_lang=eng
that there exist exactly 18 smooth toric Fano three-folds. I would like to know if there is some place where the pictures of the corresponding 18 simple reflexive polytopes are presented.
More precisely, I would like to see the moment polytopes, i.e. the polytopes that are dual to 18 reflexive polytopes depicted in the reference given below by David. These polytopes should be Delzant, i.e., each vertex can be send by an element of $SL(3,\mathbb Z)$ to the standard vertex given by equations $x_i\ge 0$. 
 A: 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()


A: 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.


          


A: The author of this and this might be able to send you lists of vertices, from which you can generate the pictures yourself, if you ask nicely. 
