A polycube composed of 5 cubes. There are 29 distinct three-dimensional pentacubes (Bouwkamp 1981). Of these, the 12 planar pentacubes (corresponding to solid pentominoes), are well known. Among the nonplanar pentacubes, there are five that have at least one plane of symmetry; each of them is its own mirror image. The remaining 12 pentacubes come in mirror image pairs.

# Pentacube

## See also

Polycube
*This entry contributed by Ronald
M. Aarts*

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## References

Bouwkamp, C. J. "Packing Handed Pentacubes." In*The Mathematical Gardner*(Ed. D. Klarner). Boston, MA: Prindle, Weber, 1981.

## Referenced on Wolfram|Alpha

Pentacube## Cite this as:

Aarts, Ronald M. "Pentacube." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/Pentacube.html