3 ms·
They mentioned the Droste effect, but not the fact that by Brouwer fixed-point theorem[0], there is a fixed-point, a point that every image contains. Similar w
by bmacho 3y ago
They mentioned the Droste effect, but not the fact that by Brouwer fixed-point theorem[0], there is a fixed-point, a point that every image contains.
Similar with mirrors, or cameras that capture their own images (although there is a delay (there is a delay with mirrors too)), or in the cases of maps. Did you know that if there is a map of an area in the depicted area, then there is a fixed point, which is in the case of maps a 'You are Here' point, that is, it is above its location?
[0] : https://en.wikipedia.org/wiki/Brouwer_fixed-point_theorem#Illustrations https://en.wikipedia.org/wiki/Brouwer_fixed-point_theorem#Il...
- alpinisme 3y agoIt would be pretty alarming if I could hold a map of the state I’m in and not see my own location anywhere on it!
- YeGoblynQueenne 3y agoConversely, it would pretty alarming if you could see yourself in that location on the map.
- 48864w6ui 3y agoNot so alarming if the map comes equipped with a suitable adjoint (best approximation to inverse) map with which it may be composed; it's by pulling back that "taste classifies, and it classifies those who classify."
- Izkata 3y agoMaps of Chicago typically don't have a way to include lower Wacker, and plenty of people haven't even heard of lower lower Wacker. Even Google Maps struggles with this, bouncing between upper and lower on street view, and pickups with Uber and Lyft are iffy on that street (at least back when I first installed them, gave up on it after a while).