SELF-SIMILARITY OF 𠒫-POSITIONS OF (2n + 1)-DIMENSIONAL WYTHOFF’S GAME

Yanxi Li () and Wen Wu
Additional contact information
Yanxi Li: School of Mathematics, South China University of Technology, Guangzhou 510640, P. R. China
Wen Wu: School of Mathematics, South China University of Technology, Guangzhou 510640, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 03, 1-8

Abstract: Wythoff’s game as a classic combinatorial game has been well studied. In this paper, we focus on (2n + 1)-dimensional Wythoff’s game; that is the Wythoff’s game with (2n + 1) heaps. We characterize their 𠒫-positions explicitly and show that they have self-similar structures. In particular, the set of all 𠒫-positions of 3-dimensional Wythoff’s game generates the well-known fractal set — the Sierpinski sponge.

Keywords: Wythoff’s Game; Sierpinski Sponge (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X21500614
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:29:y:2021:i:03:n:s0218348x21500614

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X21500614

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().