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Numbers in (red) are total solutions possible for that shape.
1 x 5 x 5 White Corners(2) |
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1 x 5 x 5 Black Corners(2) |
Now things get tough! The previous levels were quite simple but they do offer clues for forming many higher levels. For those who beam at finally getting the 1x5x5 solved I usually ask them to try solving it with an opposite color for the corners than the one they solved. Yes, it can be done in all white or all black corners.

1 x 5 x 6 (4)

1 x 5 x 7 White Corners (54)
Now with the 1x5x7, many get the white cornered solution but few have tackled the black cornered solution. It is fully interlocking and there are no sub shapes to rely on like the white cornered shape which uses the 1x3x5 and the 1x4x5 (with the 1x3x3 within)

1 x 5 x 7 Black Corners (2)
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