[HN Gopher] Non-Euclidean Geometry Online: A Guide to Resources ...
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Non-Euclidean Geometry Online: A Guide to Resources (2008)
Author : the-mitr
Score : 39 points
Date : 2023-08-20 13:06 UTC (9 hours ago)
(HTM) web link (pi.math.cornell.edu)
(TXT) w3m dump (pi.math.cornell.edu)
| zb3 wrote:
| Here's an interactive demonstration of 3D hyperbolic honeycombs:
|
| https://www.shadertoy.com/view/XddyR2
|
| And here's the 2D version:
|
| https://www.shadertoy.com/view/3tsSzM
| rolph wrote:
| https://www.britannica.com/science/Riemannian-geometry
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| https://yt.artemislena.eu/watch?v=wZgM3u8UkNs [VIDEO]
| sixdrum wrote:
| My son just started Euclidean (planar) geometry, also known as
| synthetic geometry, and it's quite a departure from what I
| learned in high school -- analytic geometric (cartesian
| geometry). He's suffering through it so far but he may ditch the
| course and go for non-Euclidean geometry instead. Thanks for
| posting this. It's helpful as I'm trying to determine what's best
| for his desired career path.
| eigenket wrote:
| What your son is learning (synthetic geometry) and what you
| learned (cartesian geometry) are essentially two ways of
| looking at the same stuff. One emphasises coordinates and one
| does not.
|
| What the post is about (non-Euclidian geometry) is a rather
| different thing entirely. Its about doing geometry when the
| space you live on/in is curved (like doing geometry on the
| surface of the earth).
| sixdrum wrote:
| Thanks for the clarification. I'm taking in as many resources
| as I can. I'd imagine that if he goes into engineering or CS,
| and especially into anything having to do with 3D
| environments, that cartesian geometry would be more useful.
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