https://stemlores.com/2026-10-02 https://stemlores.com/stories/2026-10-02 https://math.stemlores.com/2026-10-02 https://math.stemlores.com/stories/2026-10-02 https://math.stemlores.com/stories/why-e-is-2-718/2026-10-02https://i.ytimg.com/vi/UJCtfkvJJr0/hq720.jpgWhy Is e = 2.718…? The Number Nature Uses to GrowWhy is e equal to 2.718…? Follow Bernoulli's compound-interest puzzle to the limit (1 + 1/n)ⁿ, then meet e as the slope that equals itself and in e^(iπ) = −1.https://www.youtube.com/embed/UJCtfkvJJr04802026-10-01 https://math.stemlores.com/stories/mutilated-chessboard-dominoes-puzzle/2026-10-02https://i.ytimg.com/vi/3bQF7MyH4os/oar2.jpg62 Squares, 31 Dominoes: Why They Won't FitCut two opposite corners off a chessboard and 31 dominoes can never cover the 62 squares left. See the two-color proof, its history and Gomory's theorem.https://www.youtube.com/embed/3bQF7MyH4os2026-10-01 https://math.stemlores.com/stories/four-letters-four-envelopes-derangements/2026-10-02https://i.ytimg.com/vi/ah3bP31ol9U/oar2.jpg4 Letters, 4 Envelopes: Can All Go Wrong?Shuffle 4 letters into 4 envelopes and 9 of the 24 ways put every letter wrong: a 37.5% chance. See the count, Montmort's 1708 puzzle and why it tends to 1/e.https://www.youtube.com/embed/ah3bP31ol9U2026-09-30 https://math.stemlores.com/stories/compound-interest-and-the-number-e/2026-10-02https://i.ytimg.com/vi/FuJwqKJpAo0/oar2.jpg2.718: The Limit Your Bank ApproachesWhat if a bank paid 100% interest split into months, days or hours? The balance climbs to 2.7146, then stalls below e ≈ 2.718: Bernoulli's 1683 puzzle.https://www.youtube.com/embed/FuJwqKJpAo02026-09-29 https://math.stemlores.com/stories/pi-is-the-unit-of-turning/2026-10-02https://i.ytimg.com/vi/1KEAFA3b-N8/hq720.jpgπ Is Not 3.14 — It's the Unit of TurningWhat is pi, really? How Archimedes trapped π between 3.1408 and 3.1429, why π radians is half a turn, and why π turns up in waves, pendulums and bell curves.https://www.youtube.com/embed/1KEAFA3b-N85812026-09-28 https://math.stemlores.com/stories/the-diagonal-that-broke-the-pythagoreans/2026-10-02https://i.ytimg.com/vi/T9oRt8SP0zM/oar2.jpgThis Diagonal Ended a ReligionWhy did the square root of 2 upset the Pythagoreans? A unit square's diagonal is not a fraction. Here is the short proof, and the legend of Hippasus at sea.https://www.youtube.com/embed/T9oRt8SP0zM2026-09-27 https://math.stemlores.com/stories/why-doubling-beats-everything/2026-10-02https://i.ytimg.com/vi/FYcW3mCgCUw/oar2.jpgWhy Doubling Beats EverythingFold paper 42 times and the stack would pass the Moon. See why exponential growth outruns adding, from the chessboard legend to the arithmetic, step by step.https://www.youtube.com/embed/FYcW3mCgCUw2026-09-26 https://math.stemlores.com/stories/why-the-square-root-of-2-is-irrational/2026-10-02https://i.ytimg.com/vi/IM0e7ekoW_U/hq720.jpgThe Number That Broke Mathematics: Why √2 Is Not a FractionWhy is the square root of 2 irrational? The even-odd proof by contradiction, step by step, a picture of shrinking squares, the Hippasus legend and Dedekind.https://www.youtube.com/embed/IM0e7ekoW_U4942026-09-24 https://physics.stemlores.com/2026-10-02 https://physics.stemlores.com/stories/2026-10-02 https://physics.stemlores.com/stories/why-137-haunts-physics/2026-10-02https://i.ytimg.com/vi/HxzqSJZbhNk/hq720.jpgWhy Does the Number 137 Haunt Physics?Why is the fine-structure constant so close to 1/137? How Sommerfeld found it in 1916, why it has no units, who tried to explain it, and what we measure now.https://www.youtube.com/embed/HxzqSJZbhNk5922026-10-02 https://physics.stemlores.com/stories/feynman-137-on-the-wall/2026-10-02https://i.ytimg.com/vi/Ev9QKuAJzZI/oar2.jpgWhy Feynman Told Physicists to Hang 137 on the WallWhy did Richard Feynman say good physicists put 1/137 on their wall? What the fine-structure constant is, why it has no units, and why nobody can explain it.https://www.youtube.com/embed/Ev9QKuAJzZI2026-10-02 https://chemistry.stemlores.com/2026-10-02 https://chemistry.stemlores.com/stories/2026-10-02