Capture San Francisco’s magic in 4K as you cruise by its most famous sights. See the Golden Gate Bridge, Victorian houses, and lively city streets from the top of a red double-decker bus.

Conch shells A spiky shell with a golden ratio spiral. (Photo: Fontana/Shutterstock) Spiral aloe A spiral aloe plant sits in a gardening pot. (Photo: PhotoSky/Shutterstock) Spiderwebs ...

Roughly speaking, the spiral of the chambered nautilus triples in radius with each full turn whereas a golden-ratio spiral grows by a factor of about 6.85 per full turn.

Cathy Scola / Getty Images Romanesco broccoli (which, despite its name, is a hybrid between broccoli and cauliflower) grows in a golden spiral, a pattern based on the golden ratio. The spiral gets ...