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math.HO2020★ 1 cited
Fibonacci Plays Billiards
Elwyn Berlekamp, Richard K. Guy
A chain is an ordering of the integers 1 to n such that adjacent pairs have sums of a particular form, such as squares, cubes, triangular numbers, pentagonal numbers, or Fibonacci…
math.HO2019
The Triangle
Richard K. Guy
If we label the vertices of a triangle with 1, 2 and 4, and the orthocentre with 7, then any of the four numbers 1, 2, 4, 7 is the nim-sum of the other three and is their orthocent…