Corpus ID: 119691220

Extending Sicherman Dice to 100-cell Calculation Tables

@inproceedings{Nishiyama2016ExtendingSD,
  title={Extending Sicherman Dice to 100-cell Calculation Tables},
  author={Y. Nishiyama and Nozomi Miyanaga},
  year={2016}
}
  • Y. Nishiyama, Nozomi Miyanaga
  • Published 2016
  • Mathematics
  • This paper discusses a 100-cell calculation table for addition, C(i,j)=Ai+Bj,(1<=i,j<=10), addressing the special case where the 100 cells C(i,j) comprise continuous numbers 0 through 99. We consider what sequences {Ai,Bj,(1<=i,j<=10)} are needed to fulfill these conditions, and the number of possible combinations. We first find seven solutions through factorization of the generating function used for Sicherman dice. We next find seven solutions through geometric means. We demonstrate a… CONTINUE READING

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