Tiling a Hollow Box with a Pentacube
Introduction
A pentacube is a solid made of five cubes joined
face to face.
There are 23 pentacubes, not distinguishing mirror images:
Here I show the smallest hollow box, if any, that each pentacube can tile.
The walls of the box have thickness 1.
A box's dimensions must be 3 or greater.
If you find a smaller hollow box for a pentacube or solve
an unsolved case, please write.
See also Pentacubes in a Box.
Achiral Pentacubes
Chiral Pentacubes
Pentacube J can tile
a hollow box if we let it be reflected.
Last revised 2026-10-07.
Back to Polycube and Polykedge Tiling
<
Polyform Tiling
<
Polyform Curiosities
Col. George Sicherman
[ HOME
| MAIL
]