Mathematics.
The Woman, the Finger, and the Rectangle: A Math Puzzle that Will Make You Question Everything.
"Draw a triangle. What fraction of the rectangle is shaded? Do we have enough info? Take a guess."
Our diverse world.
Nice photo. Paleontologist Richard Owen in 1879 with a skeleton of the extinct Giant Moa bird, from New Zealand. tinyurl.com/3vyzs3bu
→ Physics, Motion, Mathematics of Trajectories, Rice Grains. Source (Maria Lynn Riceart): tiktok.com/@maria.lynn.ricea…
Credit: I didn’t upload this video to 𝕏. I’m pointing to a video residing in the 𝕏 stream of “InterestingsAsF” (Jun 25, 2022).
“Like works of literature, mathematical ideas help expand our circle of empathy, liberating us from the tyranny of a single, parochial point of view. Numbers, properly considered, make us better people.”
- Daniel Tammet, Thinking in Numbers, 2013
Mathematics.
A time traveler from the future returns to our time with a question for humanity.
→ What is the area of the orange-colored shaded region? (Within the square are semicircles of radius 2.) The clock is ticking: we only have 10 minutes to solve this.
Math. Physics. Escher. Reality.
→ Welcome to another dimension.
Source (pixl8studio): instagram.com/pixl8studio/
Credit: I didn’t upload this video to 𝕏. I’m pointing to a video residing within the 𝕏 stream of Dida, 𝕏 ID “Dida_ti” (Jan 2, 2022).
History in arches: From Mesopotamia and Classical Antiquity to the rise of AI. While this timeline highlights a largely Western trajectory, it raises a universal question: is AI the final chapter or a new beginning?
arXiv submission rates have steadily increased since their founding in 1991. In September, arXiv received 40,363 submissions in a single month: a new record! What happens to scientific publishing, now that AI is here?
via arXiv Blog: blog.arxiv.org/2026/10/01/up…
Mathematics.
Free book PDF. "Introduction to Probability," 2nd edition, by Charles M. Grinstead and J. Laurie Snell.
"Probability theory began in seventeenth century France when the two great French mathematicians, Blaise Pascal and Pierre de Fermat, corresponded over two problems from games of chance. Problems like those Pascal and Fermat solved continued to influence such early researchers as Huygens, Bernoulli, and DeMoivre in establishing a mathematical theory of probability. Today, probability theory is a well-established branch of mathematics that finds applications in every area of scholarly activity from music to physics, and in daily experience from weather prediction to predicting the risks of new medical treatments."
Link: open.umn.edu/opentextbooks/t…
I'm in love with the number 4900.
It holds a legendary status in mathematics because it appears to be the only multi-digit number that is both a perfect square (70²) and a Square Pyramidal Number. Image: tinyurl.com/ms7x3mxz
An era when the divine was close enough to touch.
The blue-garbed rain god on the right with a characteristic goggled eye and fang-like mouth, placing a hand on the human figure. Aztec. From the 15th-century Pre-Columbian Codex Fejérváry-Mayer.
Math.
Assume the digits of π* are the same as π, except the first "9" is removed (see figure). Could the infinite sequence of digits of π* be contained in π?