33 + 43 + 53 = 63 = 216

8 pieces are required to construct a puzzle that can be assembled as a 6×6×6 cube and reassembled into the three smaller cubes. The 6 "slices" of the puzzle would appear as follows, with letters a through h representing the eight puzzle pieces:
```  f f f f f h    f f f f f h    f f b b b b
f f f f f e    f f f f f e    f f b b b b
f f f f f e    f f f f f e    f f f b b b
g g g e e e    g g g e e e    g g g b b b
g g g e e e    g g g e e e    g g g e e e
g g g e e e    g g g e e e    g g g e e e
slice-1        slice-2        slice-3

f f b b b b    a a b b b b    a a b b b b
f f b b b b    a a b b b b    a a b b b b
c c b b b b    c c b b b b    c c b b b b
c c b b b b    c c b b b b    c c b b b b
c c c e e e    c c c e e e    c c c d d d
c c c e e e    c c c e e e    c c c d d d
slice-4        slice-5        slice-6
```

216 was given spiritual significance in ancient times because it is the product of the first two cubes (they did not count 13 as a "cube"): 23 × 33 = 216

Numerologists relate 216 to 666 because 6×6×6 = 216

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