57: You Said How Much?! (Measure Theory)

If you are there, and I am here, we can measure the distance between us. If we are standing in a room, we can calculate the area of where we're standing; and, if we want, the volume. These are all examples of measures; which, essentially, tell us how much 'stuff' we have. So what is a measure? How are distance, area, and volume related? And how big is the Sierpinski triangle? All of this and more on this episode of Breaking Math. Ways to support the show: Patreon-Become a monthly supporter at patreon.com/breakingmath The theme for this episode was written by Elliot Smith. Episode used in the ad was Buffering by Quiet Music for Tiny Robots. [Featuring: Sofía Baca; Meryl Flaherty]