Install
Please confirm you are human
This browser or connection looks automated. Press and continuously hold the control for 3 seconds to enable Google-hosted web results and, when separately allowed, AI-assisted answers.
A successful check enables 100 search requests. Interactive access does not authorize scraping, systematic collection, or reuse of search output.
News
The Ellipse Enigma
1+ mon, 1+ week ago (470+ words) They say you should always trust your gut. In watchmaking, as in everyday life, it is an ill-advised notion. I want to put myself out there as a cautionary tale of what prejudice can do to one's love for watches....
OpenAI Reports Internal Model Disproved an 80-Year-Old Geometry Problem
1+ mon, 1+ week ago (505+ words) According to OpenAI's report on the discrete geometry result, the internal model was not specifically trained for mathematics. OpenAI describes it as a general-purpose reasoning model and says external mathematicians validated the result. The company has not identified the model…...
The “Plan B” Insult: Why a Student is Heartbroken After Her Advisor Suggested Dentistry as a “Backup” to Medicine
4+ mon, 1+ week ago (555+ words) When taking exams at school to see what job you might be able to get, it is good to try for things you want but also to have realistic expectations. What would you do if you had a student who…...
New Study Reveals Practical Applications of Tessellations in Mathematics and Engineering
8+ mon, 5+ day ago (631+ words) At SSBCrack News, our dedicated editorial team brings you the latest and most reliable updates on Defence, Geopolitics, Military Affairs, Science, and Technology. Driven by a passion for national security and strategic awareness, the SSBCrack News Desk delivers fact-checked, timely,…...
A Universe of Triangles.
9+ mon, 3+ week ago (709+ words) So, this article is going to be the first of a 5 part series where I break down each video of the playlist, my iteration of trying to break it down simply as John Chapman did for me. Just a heads…...
Four generalizations of the Pythagorean theorem
9+ mon, 4+ week ago (58+ words) Here are four theorems that generalize the Pythagorean theorem. Follow the links for more details regarding each equation. 1. Theorem by Apollonius for general triangles. 2. Edsgar Dijkstra’s extension of the Pythagorean theorem for general triangles. 3. A generalization of the Pythagorean theorem…...
Rainbows, fractals, and crumpled paper: Hölder continuity — LessWrong
10+ mon, 1+ week ago (424+ words) One of my favorite website is allRGB. It's a collection of images which each contain every 24-bit RGB color exactly once. Most of them (though not all) are square 4096-by-4096 images. (In general, we can imagine doing this with (n…...
What Is a Manifold?
10+ mon, 1+ week ago (706+ words) Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that from our point of view, it looks flat. This new perspective allowed mathematicians…...
Lifelike Cobblestone Pattern Created Using Houdini
10+ mon, 1+ week ago (110+ words) Julian Bragagna shared a new project. Julian Bragagna, Technical Artist at Cloud Imperium Games, showcased his new project, a Houdini-made visualization of the cobbled sidewalk inspired by the German Bernburger Mosaik pattern. Such a pattern type implies that in places…...
An ancient generalization of the Pythagorean theorem
10+ mon, 1+ week ago (123+ words) Apollonius of Perga (c. 262 BC – c. 190 BC) discovered a theorem that generalizes the Pythagorean theorem but isn’t nearly as well known. Let ABC be a general triangle, and let D be the midpoint of the segment AB. Let a be the…...