World

Game

Of

Sprouts

Association

*Of Nim and Sprouts*, by Curtis F. Hatfield, is a 25 page typewritten manuscript owned by Minnesota State University,
Mankato. Since it is obviously an unpublished, one-of-a-kind item, I am a bit surprised that I was able to borrow it through interlibrary loan, but
I am glad to have had the opportunity to satisfy the curiosity I felt when a reference to it popped up on a search of amazon.com.

The paper is an academic exercise, a report presented in Mathematics 6882, a graduate-level seminar at Mankato State College, in the spring of 1974. The sprouts
content is brief, an attempted exhaustive analysis of n = 2 in two pages of hand drawn diagrams. This analysis actually has a serious flaw, claiming a win for Left,
a circumstance which we might say goes to show the
pitfalls even an advanced student of mathematics can succumb to in sprouts when not armed with the survivor concept or a system of sprouts notation.
The main goal of this part of the paper seems to be to illustrate the game theoretic concept of *saddle point*.

The greater part of the paper, page nine onwards, is a detailed exposition of the nim algorithm. Despite the title of the paper, this algorithm is not related
back to sprouts.

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