![]() One way to see that is to take the shape of the black loop of the figure above (which corresponds to a meridian), in the 3D space the Hévéa Torus is embedded in. In other words, through a fractal process, it’s (at least theoretically) possible to describe a simple procedure to fold the square of the Netwalk world into an origami torus-like “ zigfinihedron” which glues opposite sides. So, following Mandelbrot’s (and Vihart’s) ideas, it’s not too hard to imagine a torus whose lengths perfectly match that of the Netwalk world. This is what Vihart did in this awesome video: ![]() For instance, you can draw a “curve” that looks exactly like a circle, but actually has a length of 4. Now, the thing with fractals is that it’s very easy to make a shape of any length. This best-seller was so amazing that it quickly became iconic, not just for young mathematicians, but in popular culture as well! Because the community was not ready for his new ideas, Mandelbrot decided to write a book on his own. Referees claimed that the papers, despite displaying pretty images, did not contain actual mathematics. His first papers on this new kind of geometry were so unusual that the mathematical community rejected them. ![]() Learn more with Thomas’ article on fractals.Ĭuriously though, Mandelbrot’s ideas weren’t popular at first. ![]()
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |