software design patterns - beginner or hobbyist

I'm new to this forum, but I couldn't help but jump into this discussion because it brings back memories of when I started coding as a hobbyist. Back in the day, I had just one programming course and was eager to dive into software design patterns. To be honest, it was a bit overwhelming at first, but with some patience and practice, I managed to grasp the concept of a few patterns.

cafejose, state the thing you actually want to write some software to do. Talking about a specific example is much easier than trying to consider more abstract ideas about patterns.

I had become curious most generally.  I have no current program-writing plans.  I DID have some a few years ago, and I wrote a few programs to my more specific goals at that time.  

I tried to give one idea in my first post on topic; being a menu-based program, using text information presented to a user.  But I was not asking about any specific program.  I ask for identifying design patterns.  

Simple example could be,  linear interpolation.  But I already wrote one or two of them which worked very well; two of two-dimensional data pair, and user wants to know the part of another data pair; but once the program is made,  .... I wonder, Do programmers think according to any set of formal Design Patterns?  

Observe that I asked about this in July 2022, so that was a long while ago and I have done no program-making since before that time.  (Almost none; I can't remember too well...)