There is only one gap‑free solution to this puzzle
(up to rotation of the box).
That solution forms the elegant shape shown here, possessing a clear
three‑fold rotational symmetry.
A key reason this packing works is that the
T‑pieces can be arranged so that
every vertex lies on one of the three coordinate axes.
See the slides below for a detailed explanation.
The puzzle is also connected to the fact that the two solids
H and T can together
tile three‑dimensional space.
For details, please refer to the slides below.
Puzzle Explanation
There is only one gap‑free solution to this puzzle (up to rotation of the box). That solution forms the elegant shape shown here, possessing a clear three‑fold rotational symmetry.
A key reason this packing works is that the T‑pieces can be arranged so that every vertex lies on one of the three coordinate axes. See the slides below for a detailed explanation.
The puzzle is also connected to the fact that the two solids H and T can together tile three‑dimensional space. For details, please refer to the slides below.