4 papers · 1 filter
Josephus Nim
Shoei Takahashi, Hikaru Manabe, Aoi Murakami +1
Here, we present a variant of Nim with two piles. In the first pile, we have stones with a weight of 1, and in the second pile, we have stones with a weight of -2. Two Players take…
Games of Nim with Dynamic Restrictions
Keita Mizugaki, Shoei Takahashi, Hikaru Manabe +2
The authors present formulas for the previous player's winning positions of two variants of restricted Nim. In both of these two games, there is one pile of stones, and in the firs…
Impartial and Partizan Restricted Chocolate Bar Games
Ryohei Miyadera, Shoei Takahashi, Aoi Murakami +2
In this paper, we consider impartial and partizan restricted chocolate bar games. In impartial restricted chocolate bar games, players cut a chocolate bar into two pieces along any…
Curious Properties of Iterative Sequences
Shoei Takahashi, Unchone Lee, Hikaru Manabe +4
In this study, several interesting iterative sequences were investigated. First, we define the iterative sequences. We fix function f(n). An iterative sequence starts with a natura…