Facts about the Golden Ratio
- 07
Rectangles with side ratios of 1.618 appear throughout Salvador Dalí's 1954 painting Metamorphosis of Narcissus, deliberately composed using golden ratio proportions to enhance aesthetic harmony.
- 06
Phyllotaxis in plant leaves arranges them at approximately 137.5 degrees apart, known as the golden angle, derived from dividing 360 degrees by the golden ratio to optimize light exposure.
- 05
Sunflower seed spirals typically exhibit 21 and 34 consecutive Fibonacci numbers in opposite directions, creating a packing efficiency that maximizes seed density through golden ratio geometry.
- 04
Ancient Greek architects designed the Parthenon's facade around 447 BCE with a width-to-height ratio approximating 1.618, embedding the golden ratio into classical architecture.
- 03
Human faces deemed most attractive by studies exhibit proportions approximating 1.618 between facial width and length, suggesting evolutionary preference for golden ratio symmetry.
- 02
Leonardo Fibonacci introduced the sequence 1, 1, 2, 3, 5, 8, 13, 21 in his 1202 book Liber Abaci, whose ratios between consecutive numbers converge to the golden ratio.
- 01
Nautilus shells grow new chambers that follow the golden ratio of approximately 1.618, creating logarithmic spirals visible in their cross-sections.