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A packing exercise (Posted on 2018-09-14) Difficulty: 3 of 5
How can you assemble six 1 × 2 × 2 blocks and three 1 × 1 × 1 blocks into a 3 × 3 × 3 cube?

Source: Two Dutch architects: Jan Slothouber and William Graatsma.

No Solution Yet Submitted by Ady TZIDON    
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solution from hint | Comment 2 of 5 |
The hint was very helpful since, with c in the center, the two other singletons (a and b) c-touching corners could only be in one of three configurations: 1) defining an edge on c, 2) defining a face diagonal on c or 3) defining a volume diagonal on c. I started with the third possibility and it worked!

Here are the layers:

a22  422  466
113  4c3  466
113  553  55b

Edited on September 14, 2018, 10:12 am
  Posted by Steven Lord on 2018-09-14 10:09:56

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