Mathematical Patterns and Relationships

I'd like to first start off by saying how I really enjoy the style of writing that is used by Douglas Hofstadter in his book Fluid Concepts and Creative Analogies. It feels as though you're not reading a book, but rather sitting down and having a real talk with Hofstadter. I look forward to reading more of this book not only because of the topic, but also because of his very unique and down to earth writing style.

Hofstadter has a real love and knack for finding patterns within mathematics. His search for finding a pattern for the triangular numbers between the squares was very interesting. I never would have thought that there were such patterns that existed within the world of mathematics. I am not very keen at math, and I usually have little interest in mathematical problems. This problem however caught my attention. It's amazing how unique and mysterious math can be.

I find it incredible that such patterns could exist from different strings of integers. It only makes me wonder what other kinds of patterns there could be with other types of integers. These patterns don't necessarily have to just be confined to the mathematical world either. It makes me think about other patterns that may be occurring within other aspects of our natural world. Making it seem as though our world can all be related in some way in some form. It's a very interesting concept that Hofstadter put forth that really made me see new and interesting ideas about patterns, math, and the natural world.