Ask Patents community,
I recently came across a software product in my industry that I thought was interesting. I decided to look into how their software works and ended up discovering their US Patent.
I have a data science blog where I post about topics I'm currently learning and I thought working through their algorithm as a post would be fun. The blog post would step through their algorithm explaining the math and then I would reproduce it in code using an open-source programming language. As I get closer to bringing this post to fruition I am unsure of the legal side of this (as well as the ethical).
So the main question is: Is it illegal to reproduce a patented algorithm and share that to the public via a blog?