7 papers
Variants of Wythoff's Games with Different Terminal Sets
Kahori Komaki, Ryohei Miyadera, Aoi Murakami
We study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from one or both piles…
A Variant of Wythoff's Game Defined by Hofstadter's G-Sequence
Kahori Komaki, Ryohei Miyadera, Aoi Murakami
In this paper, we study a variant of the classical Wythoff's game. The classical form is played with two piles of stones, from which two players take turns to remove stones from on…
A Problem of Knot
Ryohei Miyadera, Hikaru Manabe, Aoi Murakami +1
In this article, the authors give the correct answer to the following problem, which is presented in the well-known problem book "CHALLENGING MATHEMATICAL PROBLEMS WITH ELEMENTARY…
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…