Simplex Graphs and the Golden Ratio!

This video covers a curious appearance of the golden ratio in graph theory. We find that the ratio of the size of the n-th simplex graph to the order of the n-th simplex graph tends to the golden ratio as n goes to infinity. It turns out the only tool we need to prove this is the theory of linear recurrences and some basic observations about iterated simplex graphs. I hope you enjoy the video. ... https://www.youtube.com/watch?v=jKHGAEO-ij4