@ColinTheMathmo Owning things doesn’t require moving them or storing them. E.g. houses, star registries and NFTs.
@ColinTheMathmo There are plenty of artists who find something that sells well and pretty much do the same thing over and over. That is harder to make fly in mathematics.
@ColinTheMathmo To disagree with a couple of points in there: I don’t think finding new proofs of a theorem is like painting new landscapes. And mathematicians care about the pythagorean theorem not because it is old but because it is true. Which is not the case for Aristotle’s ideas on matter etc.
The new diamond open access computational geometry journal _Computing in Geometry and Topology_ is now open for submissions!
For more details, see the journal web site https://www.cgt-journal.org/index.php/cgt or the announcement on my blog, https://11011110.github.io/blog/2021/10/24/new-computational-geometry.html
Can a convex polyhedron have an odd number of faces, all congruent? https://mathoverflow.net/q/406120/440
If so the faces would have to all be kites, per comments at the link. Which raises the question: can a convex polyhedron with congruent kite faces avoid being either a trapezohedron (https://en.wikipedia.org/wiki/Trapezohedron) or formed from deltahedron (a polyhedron with equilateral triangle faces) by subdividing each triangle into three kites? Both automatically have evenly many faces.
@11011110 @JordiGH I just tried googling “for programming” and the top hit is the Wikipedia page “for loop”. But yes, there are surely examples where programming terms are hard to find. Of course, the same is true for math terms. (People need to stop calling things “normal”…). But in general, I would claim that math notation is currently harder to search for because of all the fancy symbols.
@JordiGH I agree that different communities use different notation, and if you’re in one of those communities already, things are more accessible if the notation matches what you’re used to.
But if you’re outside both communities, its much more likely that you have access to google than that you have access to a live expert who can tell you what the ungoogleable symbols mean.
@JordiGH The computer *should* know what the symbol means. I think it would be very hard to argue that mathematics is better off for being less accessible in this context.
The first physical models of the hyperbolic plane, made in 1868 by Beltrami: http://hyperbolic-crochet.blogspot.com/2010/07/story-about-origins-of-model-of.html, blog post by Daina Taimiņa from 2010.
Maybe you could make something like this by wrapping and stretching a disk of wet paper in a roll around a pseudosphere (https://en.wikipedia.org/wiki/Pseudosphere)? The rolled-up photo of Beltrami's model suggests that he did that.
Via http://www.open.ac.uk/blogs/is/?p=731 which shows this as a tangent to a story about triangulated polygons, frieze patterns, and the Farey tessellation.
Twelve threads: https://www.youtube.com/watch?v=-p7C5FrgAzU
Vi Hart's latest video mixes up discussions of the nature of social media, the philosophy of mathematical creativity, an exploration of symmetry, and an investigation of the spot patterns of 8-sided dice (which turn out not to all be the same) and how to visualize them.
If you go around a face of a spherical dodecahedron, the effect of holonomy rotates you by a sixth of a turn. But which way do you get rotated?
Even after designing and making this holonomy maze, it's not at all intuitive to me!
Full video: https://youtu.be/wzjUTPCAF4Y
New video: documenting the build of the Mathemalchemy project at Duke University. The installation will tour the US and internationally, starting at the National Academy of Sciences, January 2022. https://youtu.be/mPda8X2vYQQ, mathemalchemy.org
@11011110 Wow, looks like a completely separate development of the concept, I found this article: http://acceleratedmotion.org/wordpress/wp-content/uploads/2015/01/CircleWalkerNotesandContexts.pdf
I'll ask Marco Paoletti or Toni Vighetto if they were aware of Alan's work.
Mathematician working mostly in three-dimensional geometry and topology, and mathematical artist working mostly in 3D printing and virtual reality.
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