How to Count in Base 2i

Let me show you the mysterious powers of Base 2i (and other interesting bases you've probably never heard of). Links to my episodes about negative bases and irrational bases: How to Count in Base Negative 10 -    • How to Count in Base Negative 10   How to Count in Fractional and Irrational Bases -    • How to Count in Fractional and Irrational ...   Special thanks to Evan Clark, and to my Patreon supporters: Tybie Fitzhugh, Henry Spencer, Mitch Harding, YbabFlow, Plenty W, Quinn Moyer, Julius 420, Philip Rogers, Ilmori Fajt, Brandon, August Taub, Ira Sanborn, Matthew Chudleigh, Cornelis Van Der Bent, Craig Butz, Mark S, Thorbjorn M H, Mathias Ermatinger, Edward Clarke, and Christopher Masto, Joshua S, Max, Joost Doesberg, Adam, Chris Reisenbichler, Stan Seibert, Amy, Izeck, and Max. Combo Class Links: Patreon:   / comboclass   Domotro bonus channel:    / @domotro   Reddit:   / comboclass   Discord:   / discord   This episode is about the strange mathematical and philosophical potentials of imaginary and complex positional numeral bases, and what they can achieve within the complex numbers and the "Gaussian integers". It mostly focuses on Base 2i, also known as the "quater-imaginary base" (original written about by Donald Knuth). We will also discuss the "Base i-1" (a.k.a. Base -1+i)" and "Base -i-1" (a.k.a Base -1-i) systems, and how they relate to a cool fractal shape. We'll also look at the similarities (and differences) between these ways of counting and other possible bases such as negative bases, square root bases, and more! If you're reading this, leave a comment with which base is your favorite! Disclaimer: Do not copy any physical actions you see in Combo Class episodes, including any use of fire, tools, or other science experiments.