FIGURE 4 - uploaded by Henry Fleischmann
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Frequency Graph of the Number of Moves in 10,000 simulations of the Bergman Game with random moves when n = 1000 with the best fit Gaussian overlaid in red.
Source publication
Every positive integer may be written uniquely as any base-$\beta$ decomposition--that is a legal sum of powers of $\beta$--where $\beta$ is the dominating root of a non-increasing positive linear recurrence sequence. Guided by earlier work on a two-player game which produces the Zeckendorf Decomposition of an integer (see [Bai+15]), we define a br...
Contexts in source publication
Context 1
... conjecture is supported by Figure 4, Figure 5, and Figure 6. The conjecture is also supported by the moments of the statistical sample from random games. ...
