The Geometry Junkyard
ics.uci.edu
The Geometry Junkyard
1–10 of 15 posts
Re: The Geometry Junkyard
#2I 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.
Re: The Geometry Junkyard
#3I 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.
Re: The Geometry Junkyard
#4So many dead links! Sad, I would love to poke around a resource like this.
Re: The Geometry Junkyard
#5So many dead links! Sad, I would love to poke around a resource like this.
And some others that are effectively dead, such as the page with the Java applet for Euclid's geometry.
Re: The Geometry Junkyard
#6I 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.
Maybe you would love linear algebra?
Re: The Geometry Junkyard
#7I 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.
It would be fun (but also highly impractical to implement) if the web were garbage collected, with all open windows and bookmarked URLs as root pointers.
Re: The Geometry Junkyard
#8I 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.
Maybe you would love linear algebra?
Why? I do like linear algebra but the way it’s taught in universities is often unintuitive.
Re: The Geometry Junkyard
#9I 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.
I 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.
Re: The Geometry Junkyard
#10I 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.
A 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.