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
PolycubeThis entry contributed by Ronald M. Aarts
Explore with Wolfram|Alpha
References
Bouwkamp, C. J. "Packing Handed Pentacubes." In The Mathematical Gardner (Ed. D. Klarner). Boston, MA: Prindle, Weber, 1981.Referenced on Wolfram|Alpha
PentacubeCite this as:
Aarts, Ronald M. "Pentacube." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Pentacube.html