Abstract
We consider three dimensional L-tetrominoes. We show that there exists at least one way to tile every three dimensional rectangle whose side lengths are at least $3$ and area is congruent to $1 \pmod 4$ such that one square goes untiled. In addition, we show that every three dimensional rectangle is tileable provided one side has length at least $2$ and the other is a multiple of $4$.
Faculty Sponsor
Cynthia Lester
Recommended Citation
Bridges, Ian N.
(2025)
"Tilings in the 3 dimensional lattice with L-tetrominoes,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 26:
Iss.
1, Article 1.
Available at:
https://scholar.rose-hulman.edu/rhumj/vol26/iss1/1