Concept
Quadratic polynomials
2 essays name this object, across 2 fields. What follows is each of them, and the objects they name alongside it.
The primes on a spiral, and a pattern nobody ordered
Wind the whole numbers outward in a square spiral, mark the primes, and they line up on diagonals. The observation is a hundred years old and there is still no proof it means anything.
Completing the square, by completing a square
The step everybody is taught as an algebraic trick is a literal instruction about a literal square. There is a corner missing, its size is forced, and paying for it is the whole method.
Named alongside it
The objects these essays reach for when they reach for this one.
Algebra tilesAreaCompleting the squareConjectureCramér's modelDissectionImaginary unitParityPrimesRootsSquare numbersSymmetry