The very first question of our episode 1 was along the lines of, ‘ these patterns you have shown in everyday life, and in mathematics, are they really there?’ . The idea (I think) was that maybe we had imagined /invented them ourselves and then thought we had ‘discovered’ them in the world or in maths. Were they really only our own fictions?
I could not then give a good answer to that. But I think that what we looked at in episode 3 suggests that, at least sometimes, the mathematical patterns really are there. I am thinking of the frequency that we came across surprisingly simple ratios (like 1:2, or 2:1:3) arising in all triangles. Indeed concurrency itself is a kind of pattern (a symmetry) that we could hardly have ‘put there’ ourselves.