Sorry, no online dictionaries contain the exact phrase space-filling polyhedra.
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Reverse dictionary results:
1. empty
 2. barren
3. hollow
4. vacant
5. void
6. polyhedron
7. platonic solid
8. antiprism
9. brush
10. circumscribe
 11. circumscribed
12. clathrin
13. collateral
14. concave polyhedron
15. convex polyhedron
16. corner
17. cornering
18. cube
19. cubes
20. cuboctahedron
 21. cuboid
22. decahedron
23. diagonal
24. die
25. dir
26. dodecahedron
27. dual
28. face
29. face angle
30. hexahedron
 31. icosahedron
32. icosidodecahedron
33. inscribe
34. inscribed
35. net
36. octahedron
37. pentahedron
38. polyacron
39. polyedron
40. polyedrous

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You can look up the words in the phrase individually using these links:   space-filling ?   polyhedra ?
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