Archimedes and Pythagoras Vavasor

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Archimedes and Pythagoras Vavasor are generally reckoned to have been the most eminent set of twins in the history of mathematics. However, as far as the general public is concerned, they are more well-known for the manner of their deaths. Pythagoras (known to everyone as Pye) was found stabbed through the heart with a metal set square, while Archimedes (known as Archie) was found hanged in a wood several days later in an apparent suicide. Despite much speculation, no credible motive for the murder has ever been established.

Early Life

Archie and Pye's parents were Arthur and Elsie Vavasor. Arthur was an actuary, although it turned out much later that he was completely hopeless with figures. This led to him leading a curious double life, whereby he would spend the day sitting at his desk in the offices of Penge Life, pretending to work but actually writing very bad poetry. At the end of the day, he would smuggle the papers home in his briefcase, handing them over to Elsie, who would spend the evening doing his work for him. When it later emerged that she had been one of the leading lights at Bletchley Park during the second world war, no-one in the family was the least bit surprised.

They had another son, Isaac, although Arthur left not long after he was born, intending to seek his fortune as a travelling bard. Nothing was ever heard from him again. Meanwhile, Elsie, having failed to convince Penge Life that she had been doing Arthur's work for him and that they should take her on in his stead, set up her own insurance operation and very soon put them out of business.

Archie and Pye both took after their mother and demonstrated an early aptitude for mathematics, and it wasn't long before they were helping her to keep up with her increasing workload. By this time, they had also left conventional education far behind, partly through sheer ability but also because they increasingly communicated with each other via their own secret language, which the teachers at their school just found annoying. Elsie took them out of school altogether at this point and they took their A levels early, following which they both gained scholarships to Clare College, Cambridge University at the age of 15.

University

The Vavasors quickly established themselves as the leaders of their peer group at Cambridge, despite their age. They completed their set work with ease, before moving on to finding novel solutions to a series of hitherto unsolved problems, such as:

  • The Fenwick-Kawasaki paradox
  • Diquad's theorem
  • Farrago's third postulate
  • The 'evil hamster' dilemma
  • Erdős's disrupted connection
  • 0/00
  • Maxwell's Viennese inversion
  • The full solution to the soft cheese equation

More recent analysis of their work as undergraduates has led some researchers to conclude that most of these supposed problems and their solutions are in fact completely bogus, although given that they were formulated in the twins' own increasingly hermetic language, there also remains the possibility that they are entirely genuine. This is a recurring theme in the world of Vavasorology.