Here’s a little exercise to see if your vision is 2020.
Insert first pic
1. Make 4 dots at random.
2. Connect the dots with 4 uninterrupted lines.
Insert second pic
3. Find the middle point on each line.
4. Connect the points.
Insert third pic
5. This will always provide a parallelogram.
Does this theorem have any application? I do not know of any, but I do not work with geometry or physics any more than I have to. Nevertheless, I do not think this odd fact should be discounted quickly. I would not be surprised if Pythagoras or Paracelsus has considered this phenomenon. It’s the sort of thing that might have popped into Einstein’s head to open an avenue of thought about space, time, and gravity. Somebody COULD decide that this example of random irregularity resolving into regularity has profound significance.
So far I have only gotten far enough to feel that thinking about this is a relief from almost everything else that 2020 has brought so far.
Rev. Dr. Kenneth Dobson posts his weekly reflections on this blog.