Sorry, no online dictionaries contain the exact phrase non-convex polygon.
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Reverse dictionary results:
1. funicular
2. regular
3. mesh
4. area
5. concave polygon
6. convex polygon
7. decagon
8. dodecagon
9. heptagon
10. hexagon
11. nonagon
12. octagon
13. parallelogram
14. pentagon
15. pyramid
16. pyramiding
17. pyramids
18. quadrangle
19. quadrilateral
20. regular polygon
21. tessellation
22. tetragon
23. triangle
24. trigon
25. trilateral
26. undecagon
27. vertex
28. ambiance
29. angle
30. apothem
31. base
32. cata-cornered
33. catacorner
34. cater-cornered
35. catercorner
36. catty-corner
37. catty-cornered
38. center
39. circumcircle
40. circumscribe

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You can look up the words in the phrase individually using these links:   non-convex ?   polygon ?
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