Tehora Rogue retweeted
Our video "Portals to Non-Euclidean Geometries" has passed 1M views! I know only 5-6 videos using "non-Euclidean" incorrectly with more views. This is not Minecraft!*
(link in the comment)
* 3 of these videos are about Minecraft
Tehora Rogue retweeted
Some #mathart from 2001.
Typical visualizations of surfaces I would see back then were boring, angular, and sameish (they used default Mathematica settings, polygons visible).
This uses a rendering method where triangles would be subdivided until they contained 1 pixel.
... And that means I have a lot to analyze.
There are now 151243 tessellations in the Tessellation Catalog!
zenorogue.github.io/tes-cata…
Marek has found (hopefully) all k-uniform Euclidean tessellations up to k=12 (en.wikipedia.org/wiki/List_o… currently only lists up to k=5), ...
Our animation for @cs_kaplan's #SwirledSeries art project. We start by a making the chessboard hyperbolic and then map conformally the #hyperbolicplane into a... cat!
(The first part may remind you of @TilingBot's animation -- we independently had a very similar idea!)
youtube.com/watch?v=4t9Ffhb5… favourite of my latest discoveries (Polish animation: red and black, you do not need to know Polish to enjoy it!)
I am quite sure students will meet lecturers' pets during online streams of the lectures from homes... :D I also imagine videos in youtube with "The cat at 4:45!" comments.
Tehora Rogue retweeted
Creatures living in the hyperbolic world may use the native Poincaré model to get conformal, circular, and totally useless maps of their whole world.
Tehora Rogue retweeted
In each iteration, temperature of every cell is the average of temperatures of itself and neighbors in the previous iteration. Even though circles (=shapes reachable in N steps) are polygonal here, heat spreads in perfect Euclidean circles (on a sufficiently symmetric tiling).
Tehora Rogue retweeted
HyperRogue 11.2: Thurston geometries (free update!)
zenorogue.blogspot.com/2019/…
Tehora Rogue retweeted
A rubbery object in non-isotropic geometry (e.g.Nil) should have its preferred orientation which minimizes its potential energy -- intuitively, if we try to rotate it, it should get back to its preferred orientation. This does not happen in our simulation, but still cool IMO :)
Update -- written and handled in December. The finish of the PhD studies tends to be a depressive period in life, now it is much better.
I suppose you took my response too serious. My point was that depending on the area (?) there are different feelings on what is an alternative to what (;. To be honest I had learnt how to scrape data before finding out APIs.



