When I let Google Maps pick the route.
Ain’t no way I would pass my driver’s license with parallel universe parking.
Driving instructor: Ok park in that parking spot.
Me: I can’t a car is already in it.
Driving instructor: judgmentally writing it down.
Any fans of 3Blue1Brown? This open problem taught me what topology is
cannabis finally helped me grok the Kline bottle, took a lot of visualizing and mental exploration but I got there
edit: I wanted to pass along the insight I had that helped me, basically to not hold the whole Kline bottle in your mind at once, but to instead look at it from a subjective and temporalized perspective, for example imagine being an ant walking along the surface of the Kline bottle (or if you are an American, driving along the surface). Parsing individual moments on the surface is what helped me inch along and traverse the whole thing, and that spatial intuition helped me finally understand the whole much better … 4-dimensional objects can be really hard to reason about.
A second plane has hit the topology




