Concept
Continued fractions
2 essays name this object, across one field. What follows is each of them, and the objects they name alongside it.
Also named here as fibonacci — the same set of essays touches all of them, so they are one junction rather than several.
The oldest algorithm, drawn as a tiling
Euclid's method for finding a greatest common divisor is usually presented as a loop. It is also a way of tiling a rectangle with squares, and the tiling explains why it works.
The rectangle that eats itself
Cut a square off a golden rectangle and what is left is a golden rectangle. That single property is the whole of the golden ratio, and it explains both what the number really does and most of what is wrongly claimed for it.
Named alongside it
The objects these essays reach for when they reach for this one.
FibonacciTilingGreatest common divisorGolden ratioIncommensurabilityLamé's theoremLogarithmic spiralPhyllotaxisRecursionSelf similarityTermination