Counterintuitive Properties of High Dimensional Space - Lost in Spacetime


31 bookmarks. First posted by sfriedenberg march 2018.


Good writeup, with examples, of how working in high-dimensional spaces can lead to counterintuitive results. After a while, you can develop an intuition!
highdimensions  spaces  mathematics 
march 2018 by drmeme
Our geometric intuition developed in our three-dimensional world often fails us in higher dimensions. Many properties of even simple objects, such as higher…
from instapaper
march 2018 by kohlmannj
Our geometric intuition developed in our three-dimensional world often fails us in higher dimensions. Many properties of even simple objects, such as higher…
from instapaper
march 2018 by mnewt
Our geometric intuition developed in our three-dimensional world often fails us in higher dimensions. Many properties of even simple objects, such as higher…
from instapaper
march 2018 by hustwj
Interesting, accessible read on how high-dimensional spaces can fool our intuition
from twitter_favs
march 2018 by demon386
Some interesting properties of multi-dimensional spheres, such as: "the volume increases up to about 5 dimensions, then decreases to near 0" or "most points are "near the equator" of a high-dimensional sphere".
math  geometry  via:HackerNews 
march 2018 by mcherm
Our geometric intuition developed in our three-dimensional world often fails us in higher dimensions. Many properties of even simple objects, such as higher…
from instapaper
march 2018 by rogerhsueh
Counterintuitive Properties of High Dimensional Space
from twitter_favs
march 2018 by coty
Counterintuitive Properties of High Dimensional Space
from twitter
march 2018 by dave_sullivan
weird properties of high-dimensional spaces, spheres and vector spaces.
geometry  highdimension  space  vector 
march 2018 by tswaterman