Counterintuitive Properties of High Dimensional Space - Lost in Spacetime

25 bookmarks. First posted by sfriedenberg 17 days ago.

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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13 days ago 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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15 days ago 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…

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15 days ago by hustwj

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

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15 days ago 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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15 days ago by mcherm

15 days ago by rogerhsueh

15 days ago
by kamal

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

geometry
highdimension
space
vector
16 days ago by tswaterman