It broke out of the limitations of the twelvefold system of astrology. He is credited with helping to grow the school's endowment twelvefold during his term. The twelvefold way provides a unified framework for counting permutations, combinations and partitions. The various problems in the twelvefold way may be considered from different points of view. When he died in 1948, he had increased the sales volume twelvefold. Over the last century the population has grown nearly twelvefold. Eventually, this branched list developed into the standard twelvefold chain as a linear list. Ishimasa "et al." reported twelvefold symmetry in Ni-Cr particles. The number of incarcerated drug offenders has increased twelvefold since 1980. It is based heavily on combinatorics, particularly the twelvefold way and combinations without replacement.