All is ratio
φ = 1.618033988749...
Why this page?
Why not? Why indeed...
Sometimes in the midst of building practical tools and solving real problems, we stumble upon something beautiful. The golden ratio—that mysterious number that appears in sunflowers and galaxies, in ancient architecture and modern design—reminds us that elegance emerges from mathematical truth.
This page exists because a casual joke during development ("All is ratio" should be one of those timeless quotes) deserved to become real. Because sometimes the best features are the ones that make people smile and wonder.
The Mathematics
The golden ratio emerges from a simple question: What is the most harmonious way to divide a line?
(a + b) / a = a / b = φ
φ = (1 + √5) / 2
φ ≈ 1.618033988749...
This ratio has fascinated mathematicians for millennia. It's the only number whose square equals itself plus one: φ² = φ + 1
In Nature & Design
- • Nautilus shells spiral in golden proportions
- • Flower petals often follow Fibonacci sequences
- • The Parthenon's facade fits golden rectangles
- • Modern logos use φ for visual harmony
- • UI designers space elements by 1.618x
- • Even this website follows ratio principles
The Fibonacci Connection
Each number is the sum of the two before it. Divide any by its predecessor, and as the numbers grow, the ratio approaches φ. Mathematics converging on beauty.
1/1 = 1.000...
2/1 = 2.000...
3/2 = 1.500...
5/3 = 1.666...
8/5 = 1.600...
89/55 = 1.618... → approaching φ!
All is ratio
From the spiral of galaxies to the proportions of a pleasing interface, patterns repeat across scales. The same mathematical truths that guide the growth of a shell guide our sense of visual balance.
In code, in nature, in design—all is ratio.
~ Ancient wisdom, rediscovered at localhost:3000