Silver Rectangles and the Ways of Kings

🫧 Open on Bubbles Golden rectangles The defining property of golden rectangle is that if you stick a square on its longer side, you get another golden rectangle. The smaller vertical rectangle is similar to the larger horizontal rectangle. This means φ / 1 = (1 + φ) / φ which tells us φ² = 1 + φ and so the golden ratio φ equals (1 + √5)/2. Silver rectangles A silver rectangle is one that if you stick two squares on its longer side you get another rectangle with the same aspect ratio. This tells us σ / 1 = (