If you ever wanted to take the first steps to make your own hydrogen at home, here is how you start.
A visit to California’s Casa Diablo Caves and a peek at the pictographs hidden in the back of these small Mojave Desert caves.
Welcome to the 195th Carnival and my second time hosting the event.
To see past entries in the Carnival Of Mathematics and future scheduled hosts, please visit The Aperiodical.
I am honored to again host the Carnival of Mathematics! I learn so much from hosting, things I usually wouldn’t be exposed to are jam packed into every Carnival Of Mathematics post. Be sure to dig in to the archive!.
Here are the entries. Enjoy!
This is a video by me discussing how crazy I get when I see crazy math memes on Facebook and Twitter. Most are not educational and further separate mathematics from would-be students. We as mathematicians must do everything we can do to get people to EMBRACE mathematics, not shy away from it.
By: Ed Pegg
Submitted By: Lewis Baxter
Ed Pegg noticed that 2021 = 43 x 47 which are successive primes with 20 and 21 being successive integers. He asked for similar solutions and Robert Israel quickly found the next biggest solution, a number with 36 digits. I (Lewis Baxter) found more than 1500 bigger solutions, the largest having 3011 digits. This month I certified the two primes (which are 20690 apart). Unlike other “titanic” primes they are not the value of some small arithmetic expression.
By: Patrick Honner
Mr. Honner sent this link in, bragging about what his students came up with. “This was the coolest math my students produce this year,” Mr Honner gushed!
“I’ve taught this topic for many years and never thought of this approach. I’m grateful to have learned something new from my students, who never fail to impress me with their creativity. And I’m glad I gave them time and space to solve what I thought was an impossible problem! When I teach this next time, I’ll be sure to do it again. And I’ll be sure to share this ingenious integration.”
Holmer Breaks down how they can be solved using trigonometry. Geometrically, you can visualize it as an equilateral triangle centered directly above the inflection point, where its vertices coincide with the three roots.
By: Peter Scholze
Submitted By: Robin Whitty
“Exactly half a year ago I wrote the Liquid Tensor Experiment blog post, challenging the formalization of a difficult foundational theorem from my Analytic Geometry lecture notes on joint work with Dustin Clausen. While this challenge has not been completed yet, I am excited to announce that the Experiment has verified the entire part of the argument that I was unsure about. I find it absolutely insane that interactive proof assistants are now at the level that within a very reasonable time span they can formally verify difficult original research. Congratulations to everyone involved in the formalization!!
In this Q&A-style blog post, I want to reflect on my experience watching this experiment.”
By: Terence Tao
Submitted By: Robin Whitty
Kaisa Matomäki, Maksym Radziwill, Xuancheng Shao, Joni Teräväinen, and myself have just uploaded to the arXiv our preprint “Singmaster’s conjecture in the interior of Pascal’s triangle“. This paper leverages the theory of exponential sums over primes to make progress on a well known conjecture of Singmaster which asserts that any natural number larger than 1 appears at most a bounded number of times in Pascal’s triangle.
Submitted By: Sam Hartburn
#GeometrySketchbook is a hashtag that has been used for a daily maths art
challenge throughout June. A huge variety of media and art styles have been
used; if you’re interested in mathematical art you’re sure to find
something inspiring here.
By: New York Times
“Erik and Martin Demaine, a father-and-son team of “algorithmic typographers,” have confected an entire suite of mathematically inspired typefaces.”
The verb “puzzle” — to perplex or confuse, bewilder or bemuse — is of unknown origin. “That kind of fits,” said Martin Demaine, an artist in residence at the Massachusetts Institute of Technology. “It’s a puzzle where the word ‘puzzle’ comes from.”
The bane of my existence is bad math memes. They are useless, they give people anxiety about math and they create an environment of hostility about education.
A step by step explanation of the famous Drake Equation.
While filming another video, I found some small chips of obsidian by accident. When I looked behind me, there was an extinct volcano, its sides slathered with obsidian. Rockhounding ensued!
A special presentation to the Godfather of Area 51 whistleblowers, Bob Lazar. With America being wall-to-wall with kooks, why has the United States Government singled him out to discredit? Does the government think the people screaming that the Earth is flat are too credible?
This is part 3 of a restored version of The Violent Universe (1969) featuring a very young Carl Sagan, just 9 years after he earned his PhD.
This is a comprehensive report of astronomical theories, research, and discoveries. Visits thirty astronomers at their observatories throughout the world as they discuss pulsars, infrared galaxies, red giants, white dwarfs, cosmic rays, and redshift. Includes a motion picture view of a quasar.
A little video about the day I got to putter around in a Ford Tri-Motor!
There is a disturbing trend of trashed, defaced and vandalized ancient archaeological sites. It needs to stop. This video is another sad example of a sacred archaeological site that has been used as a trash dump. This site location is being kept secret at the request of the archaeological team studying the site.