Question

p-adic numbers and trees

Answer 1

I've seen some stuff with p-adic numbers and these sort of pictures with graphs connecting all the points together or like balls nested within balls. How do these pictures relate?

Answer 2

Specifically I'm talking about these pictures here: https://youtu.be/vdjYiU6skgE?t=938

Answer 3

between the balls and the trees?

Answer 4

or from
to

Answer 5

Going from the definition of the metric \(d(a,b) = |a-b|_p\) to the graphs OR balls. I am fine with turning the graph and balls back betwen each other, but what I wanna know is what number can I label at each vertex?