3 papers
math.CO2026
Forbidden-Total-Size Nim
Hiromi Oginuma, Masato Shinoda
We consider a variant of Nim in which, for a fixed set of nonnegative integers, a move is forbidden if the total number of remaining stones belongs to . This game coincides…
math.CO2026
Scoring Nim
Hiromi Oginuma, Masato Shinoda
Nim is a well-known combinatorial game in which two players alternately remove stones from distinct piles. A player who removes the last stone wins under the normal play rule, whil…
math.CO2024
Shrinking Circular Nim
Hiromi Oginuma, Masato Shinoda
The game of Nim, which has been well known for many years, has numerous variations. One such variation is Circular Nim, where piles of stones are arranged on a circumference, and p…