Though generations of schoolchildren have cursed arithmetic, the world was a much more inconvenient place without it. Before the advent of modern arithmetic in the 13th century, basic calculations ...

As their results began to crystallize, at first they didn’t notice the striking patterns emerging. But a colleague who reviewed their work spotted the famed Fibonacci numbers—a list whose entries have ...

Look closely at a sunflower, and you'll see the distinct spiral in its center. | UrsaHoogle/iStock via Getty Images Many flowers have petals that add up to Fibonacci numbers, including buttercups, ...

The Fibonacci sequence -- in which each successive number is the sum of its two preceding numbers -- regularly crops up in nature. It describes the number of petals around daisies, how the density of ...

It has inspired yachts, cars, and countless buildings, and now the Fibonacci number sequence has served as muse to 3D-printing firm Twente Additive Manufacturing (TAM), which has created what it calls ...

The next number in the sequence is found by adding up the two numbers before it. The ratio for this sequence is 1.618. This is what some people call ‘The Divine Proportion’ or ‘The Golden Ratio’. This ...

When you count the number of petals that different flowers have, you’ll discover that the most common number of petals is five. Buttercups, geraniums, pansies, primroses, rhododendrons, tomato ...