Surreal Birthdays and Their Arithmetic
Date
2023
Authors
Roughan, M.
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Journal article
Citation
Mathematics Magazine, 2023; 96(3):329-343
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Matthew Roughan
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Abstract
Summary. This paper is about the structure underlying surreal numbers, namely, the birthdays of surreal number
forms. The results are intriguing because (i) addition of surreal forms results in simple addition of their
birthdays, but (ii) multiplication results in a much more complicated structure of birthdays, given by a kind of
two-dimensional Fibonacci sequence. The paper also provides many examples and illustrations designed to help
a student become familiar with this interesting set of numbers.
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Published online: 30 May 2023.
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© Mathematical Association of America