Geodesic
In this article the authors are going to present several combinatorial games that are variants of the game of Nim. These games have very interesting mathematical structures. They are very different from the traditional game of Nim, since the coordinates of positions of the game satisfy inequalities. The authors are sure that this article is the first one to treat variants of the game of Nim conditioned by inequalities. Some of these games produce beautiful 3D graphs, and you can discover the Sierpinski gasket when you look at them from certain view point. The authors have used computer algebra system Mathematica a lot in their research of combinatorial games.
Classification : 00A66 
@article{VM_2009_11_3_a1,
     author = {Masakazu Naito and Toshiyuki Yamauchi and Hiroshi Matsui and Taishi Inoue and Yuuki Tomari and Koichiro Nishimura and Takuma Nakaoka and Daisuke Minematsu and Ryohei Miyadera},
     title = {Combinatorial {Games} and {Beautiful} {Graphs} {Produced} by {Them}},
     journal = {Visual Mathematics},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VM_2009_11_3_a1/}
}
TY  - JOUR
AU  - Masakazu Naito
AU  - Toshiyuki Yamauchi
AU  - Hiroshi Matsui
AU  - Taishi Inoue
AU  - Yuuki Tomari
AU  - Koichiro Nishimura
AU  - Takuma Nakaoka
AU  - Daisuke Minematsu
AU  - Ryohei Miyadera
TI  - Combinatorial Games and Beautiful Graphs Produced by Them
JO  - Visual Mathematics
PY  - 2009
VL  - 11
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VM_2009_11_3_a1/
LA  - en
ID  - VM_2009_11_3_a1
ER  - 
%0 Journal Article
%A Masakazu Naito
%A Toshiyuki Yamauchi
%A Hiroshi Matsui
%A Taishi Inoue
%A Yuuki Tomari
%A Koichiro Nishimura
%A Takuma Nakaoka
%A Daisuke Minematsu
%A Ryohei Miyadera
%T Combinatorial Games and Beautiful Graphs Produced by Them
%J Visual Mathematics
%D 2009
%V 11
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VM_2009_11_3_a1/
%G en
%F VM_2009_11_3_a1
Masakazu Naito; Toshiyuki Yamauchi; Hiroshi Matsui; Taishi Inoue; Yuuki Tomari; Koichiro Nishimura; Takuma Nakaoka; Daisuke Minematsu; Ryohei Miyadera. Combinatorial Games and Beautiful Graphs Produced by Them. Visual Mathematics, Tome 11 (2009) no. 3. http://geodesic.mathdoc.fr/item/VM_2009_11_3_a1/