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Klarner's pentacube puzzle

David Klarner gave us as mathematics students a christmas puzzle when he was visiting professor at Utrecht University.
25 guilders were awarded to the student who wrote a computer program that could in a reasonable time (25 hours on an X-6 ??) solve the problem to pack 25 Y-pentacubes in a 5 × 5 × 5 box.

puzzle_files/puzzle-heap.jpg puzzle_files/puzzle-cube.jpg
This puzzle looks easier than it is. I copied the first solution.
puzzle_files/puzzle-fig12.jpg
Remarkebly there are 236 diffrerent packings.

The objects

The objects are made of unglazed baked chamotte clay.
The modulus is 6 mm. So the cube is 3 × 3 × 3 cm.

References

C.J. Bouwkamp and D.A. Klarner, Packing a Box with Y-Pentacubes,
Journal of Receational Methematics Vol.3, 3, 1970.
http://www.plambeck.org/oldhtml/mathematics/klarner/bib/index.htm
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