@article{, AUTHOR = {Magnant, Colton and Martin, Daniel M.}, TITLE = {Coloring rectangular blocks in 3space}, JOURNAL = {Discuss. Math. Graph Theory}, FJOURNAL = {Discussiones Mathematicae Graph Theory}, VOLUME = {31}, YEAR = {2011}, NUMBER = {1}, PAGES = {161170}, ISSN = {12343099}, ABSTRACT = {If rooms in an office building are allowed to be any rectangular solid, how many colors does it take to paint any configuration of rooms so that no two rooms sharing a wall or ceiling/floor get the same color? In this work, we provide a new construction which shows this number can be arbitrarily large.}, }
