Here I show all unitary polycubes with at most 25 cells. I do not distinguish mirror images. Cross-sections are shown from the bottom up. Unitary polycubes that are known to be able to fill space are marked with an asterisk (*).
If you find an omission, please write.
Bryce Herdt identified many space-filling unitary polycubes, and supplied a simple method of proving that a polycube fills space by translation.
Last revised 2021-10-31.