Sorry, no online dictionaries contain the exact phrase self-dual polytope.
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Reverse dictionary results:
1. asymmetric
 2. non-self-dual
3. non-symmetric
4. cell
5. content
6. edge
7. face
8. facet
9. facey
10. stellation
 11. algebra
12. algebras
13. algorithm
14. analog
15. attractor
16. attractors
17. graph
18. kernel
19. lagrangian
20. lattice
 21. manifold
22. monotope
23. permutation
24. point
25. polygon
26. polyhedra
27. polyhedron
28. polynomial
29. simplex
30. topology
 31. tuple

You can look up the words in the phrase individually using these links:   self-dual ?   polytope ?
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