Place 6 2x3 Lego bricks next to each other so they form a 6x6 square. Place squares next to each other alternating orientations in a checkerboard pattern. The next layer of squares goes on top, with the center of each square going above the corners of the layer below.
The third layer faces a decision: whether the orientation of the 2x3 bricks in a square should be the same as, or perpendicular to, the orientation of the square two layers below.
I think this decision is isomorphic to the face centered cubic versus hexagonal close packing of spheres.
Practically this decision causes the difficulty of consistently creating this tessellation when a layer must be consistent with a now-covered layer two layers below. There also exist some deep seams and weakly connected sections.
I don't think there's a decision to be made about the second layer; either decision results in the same tessellation, perhaps rotated.
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