gh-37404: add a polytope method to hypergeometric motives

    
This is adding one new method to the class of hypergeometric motives,
namely the construction of a lattice polytope.

### 📝 Checklist

- [x] The title is concise, informative, and self-explanatory.
- [x] The description explains in detail what this PR is about.
- [ ] I have linked a relevant issue or discussion.
- [x] I have created tests covering the changes.
- [x] I have updated the documentation accordingly.
    
URL: #37404
Reported by: Frédéric Chapoton
Reviewer(s): Frédéric Chapoton, Matthias Köppe

src/doc/en/reference/references/index.rst

@@ -5486,6 +5486,10 @@ REFERENCES:
             Hecke algebras of type A*. J. Algebraic Combin.
             **6** (1997), 59-87.
 
+.. [RRV2022] David P. Roberts and Fernando Rodriguez Villegas,
+     *Hypergeometric motives*, Notices Amer. Math. Soc., **69** vol. 6 (2022).
+     :doi:`10.1090/noti2491`.
+
 .. [RSS] :wikipedia:`Residual_sum_of_squares`, accessed 13th
          October 2009.
 
@@ -5535,6 +5539,9 @@ REFERENCES:
 .. [RV2007] Fernando Rodriguez Villegas. Experimental Number Theory.
             Oxford Graduate Texts in Mathematics 13, 2007.
 
+.. [RV2019] Fernando Rodriguez Villegas. *Mixed Hodge numbers and
+            factorial ratios*. :arxiv:`1907.02722`, 2019.
+
 .. [RW2008] Alexander Raichev and Mark C. Wilson. *Asymptotics of
             coefficients of multivariate generating functions:
             improvements for smooth points*, Electronic Journal of