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# Portfolio

## 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.

This puzzle looks easier than it is. I copied the first solution.

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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