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The Geometry Junkyard
- jhfdbkofdchk 4y agoOne of the pages talks about a problem he got talking to mathematician on sci.math. Where do mathematicians talk about math and collaborate on problems nowadays?
- actually_a_dog 4y agoEither in person, on Math Overflow (https://mathoverflow.net/ https://mathoverflow.net/), or specialist sites like (maybe) the n-category Cafe (https://golem.ph.utexas.edu/category/ https://golem.ph.utexas.edu/category/).
- mysterydip 4y agoI actually like the term "web pointers" on the page over the traditional [hyper]links, as it's more accurate to what happens in reality: The reference is one-way, without feedback on if what is being referenced changes or disappears entirely. Case in point, I wanted to check out the "escher in reality" 3D models and got a 404.
- behnamoh 4y agoI always liked geometry, but wasn't particularly talented in it. Still, I wonder whether geometry could explain certain algebraic concepts much more intuitively, or even lead to new discoveries that would be extremely difficult to do using math symbols.
- mathgenius 4y agoI think "higher dimensional algebra" is some kind of attempt at doing this. String diagrams (for tensor networks) is one example. John Baez has written about this stuff.
- voldacar 4y agoA lot of geometric results like trig identities come out most elegantly when stated using complex numbers. I always struggled remembering trig identites until I took complex analysis, and after that class they just seemed totally obvious.
- Frummy 4y agoMaybe you would love linear algebra?
- behnamoh 4y agoWhy? I do like linear algebra but the way it’s taught in universities is often unintuitive.
- Frummy 4y agoWell, if you stand on really strong foundations, you can picture everything that happens in your minds eye. It’s algebra with a geometric twist. Simplest example I can think of now is intersections of planes as solution spaces, thats the picture you could imagine from a bunch of equations. Sorry I had it 4 years ago but at the time I could have written better about it. I used contemporary linear algebra, howard anton. Another simpler example is span, the total space of points that you can get by adding and scaling specific vectors that you have. Imagine an infinite plane created by the configurations of two vectors.
- bitslayer 4y agoSo many dead links! Sad, I would love to poke around a resource like this.
- ansible 4y agoAnd some others that are effectively dead, such as the page with the Java applet for Euclid's geometry.
- scruss 4y agoYou might have luck on the wayback machine. But some of the links are really, really old: [Inscribing a regular pentagon in a circle – and proving it](https://web.archive.org/web/20001205213400/http://www.cut-the-knot.com/pythagoras/pentagon.html https://web.archive.org/web/20001205213400/http://www.cut-th...) fell off the web after 2000!