Counterintuitive Properties of High Dimensional Space - Lost in Spacetime

29 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
11 weeks ago 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…

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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…

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march 2018 by mnewt

march 2018
by jjwon0

Our geometric intuition developed in our three-dimensional world often fails us in higher dimensions. Many properties of even simple objects, such as higher…

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march 2018 by hustwj

Interesting, accessible read on how high-dimensional spaces can fool our intuition

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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
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march 2018 by mcherm

march 2018 by rogerhsueh

march 2018
by kamal

weird properties of high-dimensional spaces, spheres and vector spaces.

geometry
highdimension
space
vector
march 2018 by tswaterman