All numbers lead to one

Posted to Network Visualization  |  Tags: ,  |  Nathan Yau

In 1937, mathematician Lothar Collatz proposed that given the following algorithm, you will always end at the number 1:

  1. Take any natural number, n.
  2. If n is even, divide it by 2.
  3. Otherwise, n is odd. Multiply it by 3 and add 1.
  4. Repeat indefinitely.

Developer Jason Davies puts it into reverse and shows all the numbers that fall within an orbit length of 18 or less. Press play, and watch the graph grow. Mostly a fun animation for nerds like me.

[Collatz Graph]



How to Spot Visualization Lies

Many charts don’t tell the truth. This is a simple guide to spotting them.

Where People Run in Major Cities

There are many exercise apps that allow you to keep …

This is an American Workday, By Occupation

I simulated a day for employed Americans to see when and where they work.

Where Bars Outnumber Grocery Stores

A closer look at the age old question of where there are more bars than grocery stores, and vice versa.