The Mathematics of Scratch Seven

19 Pages Posted: 11 Sep 2023

See all articles by Aaron Brown

Aaron Brown

New York University (NYU) - Courant Institute of Mathematical Sciences; AQR Capital Management, LLC

Date Written: August 21, 2023

Abstract

The well-received 2020 science fiction novel To Sleep in a Sea of Stars by Christopher Paolini introduced a novel card game, Scratch Seven, said to be played by Spacers in the 23rd century. The game appears to be based on a mathematical object called a Fano plane, which in turn seems to underlie important structural elements of the novel. This paper will only touch on literary criticism, the main foci are theoretic optimal play in Scratch Seven and useful playing advice in practice.

Keywords: Game theory, combinatorics, modular arithmetic, Paolini, Scratch Seven, To Sleep in a Sea of Stars, Science Fiction, Poker, Gambling, Card Games

JEL Classification: C72, A10

Suggested Citation

Brown, Aaron, The Mathematics of Scratch Seven (August 21, 2023). Available at SSRN: https://ssrn.com/abstract=4547376 or http://dx.doi.org/10.2139/ssrn.4547376

Aaron Brown (Contact Author)

New York University (NYU) - Courant Institute of Mathematical Sciences ( email )

New York University
New York, NY 10012
United States
10024 (Fax)

AQR Capital Management, LLC ( email )

Greenwich, CT
United States

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