Infinite Resistor Ladder 

A ladder circuit that is infinitely long with infinite square with resistors on each side of the squares

Person 1: I've invented a new sport: Nerd Sniping.

Person 2: How do you play?
Person 1: Watch. HEY WhATS THE R EQ OF A INFINITE RESISTOR LADDER WITH ALL VALUES OF R-
Person 3 *stops walking across the street*: uh you can start by hmmmmmm--
VROOOOOOOOOOOOOOOOMMM SKRRR SKRAMMMMMMMM
Person 1: That was two points for me. Physicists are 2 points, mathematicians are 3 points.
Person 2: I will have no part in this.

Infinite Resistor Ladder by No Such Thing as IsaacOrz March 7, 2025

Infinite Resistor Ladder 

Infinitely long ladder shaped circuit with resistors on every line.

Resistor each have a value of R
The R eq = R (1 + sqrt3)

Person 1: There's a type of brain that's easily disabled if you show it an interesting problem.
Person 1: This has led me to invent a new sport called nerd sniping.
Person 1 to Person 3 walking across the street: HEYYYYYYYYYY HOW DO YOU FIND THE R eq of a INFINITE RESISTOR LADDER
Person 3 *stops walking*: hmmm so you can start by saying -
Person 2: VROOOOOOOOM VROOOOOOOOOOOOOM
Person 3 dies.

Infinite Resistor Ladder by No Such Thing as IsaacOrz March 7, 2025