�y��vlog

Proportions—think of the golden ratio and its kindred—are the bedrock of our reality, found in everything from music to the structure of the cosmos.

“I didn’t know what the ‘golden ratio’ was in mathematics but someone came in and I looked it up.

In a similar way, the golden ratio φ can be constructed geometrically, as can many other irrational values.

“It’s the square of the ‘plastic ratio,’” he said, “which is a number that has a lot of properties similar to the more famous ‘golden ratio.’”

“I love that you included the golden ratio and the shells on the beach with the holes in them,” Ms. Solomon said about the moon snail.