Sorry, no online dictionaries contain the exact phrase octagonal dihedron.
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Reverse dictionary results:
1. monohedron
2. polyhedron
3. simplex
4. octagon
5. red
6. stop
7. broach
8. brunelleschi
9. gazebo
10. octogonal
11. boxlike
12. octangle
13. octangular
14. shape
15. side
16. sides
17. apsidal
18. cruciform
19. decorated
20. domed
21. domical
22. gabled
23. hexagonal
24. oblong
25. oval
26. pentagonal
27. polygonal
28. proportioned
29. quadrangular
30. rectangular
31. squarish
32. storey
33. storeyed

You can look up the words in the phrase individually using these links:   octagonal ?   dihedron ?
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