Timeline for Examples of unexpected mathematical images
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 16, 2017 at 13:43 | history | edited | Martin Sleziak | CC BY-SA 3.0 | Replaced postimg link by imgur link (which should be more stable) |
| Mar 10, 2017 at 9:42 | history | edited | CommunityBot | replaced http://s16.postimg.org/ with https://s16.postimg.org/ | |
| Feb 27, 2017 at 0:16 | comment | added | jes5199 | that last picture looks a lot like artifacts that appeared on images I generated using fourier transforms of sine waves: lh3.googleusercontent.com/-0fNn0QHwwPg/T3FpdUtrs9I/AAAAAAAACtE/… | |
| Aug 23, 2016 at 11:33 | comment | added | Alexey Ustinov | Such pictures were discussed in "Kvant" magazine, see kvant.ras.ru/1987/11/pti.htm | |
| Aug 26, 2014 at 11:36 | history | edited | Martin Sleziak | CC BY-SA 3.0 | reposted images using the editor's interface - this might prevent link-rot, see http://meta.mathoverflow.net/questions/1012/inline-images-not-displaying-correctly and http://meta.math.stackexchange.com/questions/4205/permanent-picture-uploads |
| Aug 10, 2014 at 13:17 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Aug 9, 2014 at 16:39 | comment | added | Wolfgang | Imagine drawing mod n, mod 2n, mod 3n,... the picture will be essentially the same, just the period between repeating "colors" (or shadows of grey) changes. Likewise between mod n and mod (n+1) etc. So, as @Per also says, the "discretisation" doesn't reveal many more details. You might as well define a continuous (say, periodic) color spectrum. | |
| Aug 9, 2014 at 15:43 | comment | added | joro | @PerAlexandersson Actually I am asking why taking mod preserves the corresponding curves. mod is discrete, curves are not. | |
| Aug 9, 2014 at 15:18 | comment | added | Per Alexandersson | @joro: The plots should agree with the corresponding level curves, so my strong suspicion is that it is just the level curve set, but "colored" with a strange function; taking mod is sort of "strange". Thus, the pictures are explained by level curves and interplay with coloring function. | |
| Aug 9, 2014 at 14:58 | comment | added | joro | @PerAlexandersson Is there explanation of all of my plots? Larger plot of the first remotely resembles the plot in the oldest answer: s12.postimg.org/fpi9upxgt/x_2_y_2_2.png | |
| Aug 9, 2014 at 13:15 | comment | added | joro | @Wolfgang The lines appear artifacts of scaling. On a bigger plot they disappear: s12.postimg.org/fpi9upxgt/x_2_y_2_2.png | |
| Aug 9, 2014 at 13:07 | comment | added | joro | @Wolfgang I am not sure the lines are real. PNG compresses, so they might be artifacts of compression. Will try with something lossless. | |
| Aug 9, 2014 at 12:54 | comment | added | Wolfgang | Nice! In your first picture there appear horizontal and some vertical stripes at a constant distance of ~20. Please reassure me that those are not part of the picture, but due to resolution/pixel problems. | |
| Aug 9, 2014 at 11:38 | comment | added | joro | @PerAlexandersson I don't claim novelty. Saw the first as avatar on a forum loooong ago. | |
| Aug 9, 2014 at 11:35 | comment | added | Per Alexandersson | @joro: This is quite nice, I remember experimenting a lot on my graph calculator with this type of patterns when I was half my current age. | |
| Aug 9, 2014 at 11:07 | history | edited | joro | CC BY-SA 3.0 | Added the values of n |
| Aug 9, 2014 at 11:05 | comment | added | joro | @darijgrinberg for the first 3, n=503. For the last n=1961 = 37*53 (to show relation to factoring). | |
| Aug 9, 2014 at 11:02 | comment | added | user56917 | These types of images I found very rare. Thanks for uploading it. | |
| Aug 9, 2014 at 10:59 | comment | added | darij grinberg | What is your $n$ ? | |
| Aug 9, 2014 at 10:52 | history | answered | joro | CC BY-SA 3.0 |