In my last few posts, we looked at the “loops” of the Collatz problem. We saw how positive numbers get stuck in the 4-2-1 loop, and how negative numbers have their own hidden loops in a “mirror world.” In the next post, I created an app that displayed how the collatz iterates can be obtained…
In my last post, I shared how I used AI to explore the strange “mirror world” of negative integers in the Collatz Conjecture. Today, I want to talk about why I built this visualization app in the first place. The Pen and Paper Struggle Back in 1996, and later during my PhD research, my “computer”…
In the age of generative AI, where tools can write entire essays in seconds, a paradox has emerged in education: while producing text has never been easier, understanding the craft of writing is at risk of being lost. Reflecting on this, I have developed the Scientific Writing Coach—not as a tool to write for you, but as a mentor to…