Find the Missing Area in This Puzzle!

From Math Queen. In this math video I (Susanne) explain how to find the area in an area maze. We explore the connections between the sides and areas of the rectangles and solve the puzzle. Mathematics explained. 00:00 Intro – Math Puzzle 0:25 Solution 1:53 System of Equations 5:10 Connection between rectangles 9:11 See you…

A century-old knot conjecture was wrong all along

From Standup Mathematician. Come see me on tour! https://standupmaths.com/shows/ Check out the paper: https://arxiv.org/pdf/2506.24088 Thanks so much to Mark and Susan for talking me through it. Huge thanks to my Patreon supporters. I can knot overstate my appreciation for them. https://www.patreon.com/standupmaths CORRECTIONS – None yet, let me know if you spot anything! Filming by Alex…

We have statistical evidence that people are mildly psychic

From Standup Mathematician. Learn more about the Jane Street internships at https://jane-st.co/internship25-SUM Ben’s Zener Test: https://zenertest.bensparks.co.uk/ Huge thanks to Ben Sparks (and their brother Tim) for making the site, collecting the data and sharing the story with me. You can book Ben to give a maths talk in your school, university or magic society: https://www.bensparks.co.uk/…

What was Euclid really doing? | Guest video by ⁨@bensyversen

From 3Blue1Brown. What role were ruler and compass constructions really serving? Check out Ben’s channel: @bensyversen Interview with the author of this video: https://youtu.be/VohYM99j8e0 Supporters get early views of new videos: https://3b1b.co/support Written, produced, edited, and animated by Ben Syversen Additional editing: Jack Saxon 3d Blender model: Jan-Hendrik Müller Additional Blender help: Thibaut Modrzyk (@Deepia)…

Solve This And Get a FREE Burger! 🍔

From Math Queen. In this math video I (Susanne) explain how to calculate this expression with Sigma and factorial. In 2020, a fast-food chain challenged people with a math expression, promising a free burger if you could solve it. Let’s take a look at the puzzle and work it out together! Mathematics explained. 00:00 Intro…

University Calculus: How to Differentiate x^x

From Math Queen. In this math video I (Susanne) explain how to find the derivative of x^x step by step! In this video, we show how to rewrite x^x as an exponential function and then calculate its derivative using the chain rule and product rule. Perfect for university calculus students and anyone looking to master…

Lord of the Commutative Rings – Numberphile

From Numberphile. Is there one ring to rule them all? Kevin Tucker goes deep into the world of mathematical rings, among other things. Extra footage at https://youtu.be/B1TieBIGmI8 – More links & stuff in full description below ↓↓↓ Kevin Tucker: https://mscs.uic.edu/profiles/kftucker/ Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career…

The Farmer’s Prime Number Puzzle

From Math Queen. In this math video I (Susanne) explain how to solve this puzzle with prime numbers. A farmer has cows, pigs, and horses – but their numbers are all prime! 🐄🐖🐎 Can you solve this exciting math puzzle using only prime numbers, prime factorization, and a clever equation with three unknowns? This brain…

Exploration & Epiphany | Guest video by Paul Dancstep

From 3Blue1Brown. Sol LeWitt’s "Incomplete Open Cubes" and rediscovering Burnside’s lemma in group theory An interview with the author of this video: https://youtu.be/JEeM2ABUMoo Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Thanks to the Wadsworth Atheneum…

You’ve Been Doing Square Roots Wrong (Here’s Why)

From Math Queen. In this math video I (Susanne) explain how to calculate squre roots correctly. Many people believe √4 equals ±2, but that’s a common math mistake! In this video, I explain why the square root is always positive, when negative solutions appear, and how to solve quadratic equations step by step. Mathematics explained.…

Maths has finally discovered a self-righting tetrahedron!

From Standup Mathematician. Check out the amazing Bambu Lab printers: https://www.awin1.com/cread.php?awinmid=46345&awinaffid=2412541 Print some maths! https://makerworld.com/en/search/models?keyword=math Here are the STL files (and project files you can open in Bambu Studio) for the tetrahedrons in this video: https://www.dropbox.com/scl/fo/jwva4zx6r4327lyg9zgy5/AKFZ5nUzo7QmD_mMhaD01uI?rlkey=9f41h2xsb7ybanjh1jibit8mz&dl=0 This is the Quanta Magazine article which broke the Monostable Tetrahedron news in June 2025. A New Pyramid-Like Shape…

The impossible 2025 puzzle with over a million solutions!

From Standup Mathematician. See if you have the skills to dissect this neural net: https://jane-st.co/SUM-MLpuzzle More on Jane Street machine learning careers here: https://janestreet.com/ml This is a complex video, so I’ll try to thank and link everyone in order! Original Numberphile video from 2015 by Brady Haran: https://www.youtube.com/watch?v=99stb2mzspI&ab_channel=Numberphile More on the Partridge Puzzle by Robert…

Simulating and understanding phase change | Guest video by Vilas Winstein

From 3Blue1Brown. Deriving the Boltzmann formula, defining temperature, and simulating liquid/vapor. @SpectralCollective has the second part: https://youtu.be/yEcysu5xZH0 You can play with a simulation of this model here: https://vilas.us/simulations/liquidvapor/ These lessons are funded directly by viewers: https://3b1b.co/support Home page: https://www.3blue1brown.com Notes from Vilas: 1) This open problem is to prove the ergodicity of the deterministic dynamical…

Most People Get This Wrong – What About You?

From Math Queen. In this math video I (Susanne) explain how to solve this maths problem. Most people answer this famous math problem incorrectly on their first try. In this video, we take a closer look at Daniel Kahneman’s well-known “bat and ball problem,” explore why our brains are so quick to jump to the…

Difference Of Squares – How To Factorize Into A Product

From Math Queen. In this math video I (Susanne) explain how to factorize the difference of squares step by step. We turn a subtraction into a product using a simple rule. Perfect for algebra practice, beginners, and anyone who wants to understand factoring clearly. Mathematics explained. 00:00 Intro – Difference of Squares 0:17 Example 1…

Immense Subcubic Graph Numbers – Numberphile

From Numberphile. Featuring Richard Elwes. Learn more about Jane Street internships at https://jane-st.co/internship-numberphile-25 — More links & stuff in full description below ↓↓↓ Extra footage: https://youtu.be/y1vBPDz96g0 Large numbers playlist: https://www.youtube.com/playlist?list=PLt5AfwLFPxWJ_FwchNAjB3xa8UnoKdmQI Richard Elwes at the University of Leeds: https://eps.leeds.ac.uk/maths/staff/4018/dr-richard-elwes- Or: https://richardelwes.co.uk His books: https://amzn.to/4fJIhHE Richard on Numberphile: https://youtube.com/playlist?list=PLt5AfwLFPxWI42WXh1jnv51jHrcjatrk8&si=gHHt4EVBv3zWQKMW Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street.…

The 6-Square Puzzle That Stumps Most People

From Math Queen. In this math video I (Susanne) explain how to solve this puzzle, with six connected squares. Step by step, we use the given side lengths to determine the missing square’s side and finally calculate its area. A neat geometry trick with a surprising result! Mathematics explained. 00:00 Intro – Math Puzzle 0:38…

The AI that solved IMO Geometry Problems | Guest video by @Aleph0

From 3Blue1Brown. How AlphaGeometry combines logic and intuition. Check out Aleph0’s channel: https://youtube.com/@Aleph0 Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to share the videos. Home page: https://www.3blue1brown.com Special thanks to Trieu Trinh for fact-checking the script. Blog post on an open-sourced geometry…

Finding Fractions Of A Number – Easy Math Guide

From Math Queen. In this math video I (Susanne) explain how to calculate fractions of amounts. We multiply the fraction by the whole number and simplify. Mathematics explained. 00:00 Intro – Fractions of Amounts 0:12 Example 1 2:31 Example 2 5:20 Example 3 8:02 See you later! *My German Math Channel:* ​⁠ ​⁠@MathemaTrick *Find me…

Can You Solve This Geometry Puzzle?

From Math Queen. In this math video I (Susanne) explain how to solve a fun geometry puzzle! We have three half-circles inside a rectangle. Using the radius, we set up an equation and solve it to find the rectangle’s perimeter. Perfect for math lovers! Mathematics explained. 00:00 Intro – Geometry Puzzle 1:04 How to solve…

Can you solve this in 20 SECONDS? – Fraction Challenge

From Math Queen. In this math video I (Susanne) explain how to simplify fractions step-by-step! In this video, I show you how to calculate a fraction and then use the difference of squares to reduce it. Perfect for students, teachers, and exam prep! Mathematics explained. 00:00 Intro – Calculation 0:08 Solution 3:28 See you later!…

Multiply Complex Numbers – Explained With 3 Examples

From Math Queen. In this math video I (Susanne) explain how to multiply Complex Numbers. step by step! In this video, I show you 3 easy-to-follow examples using the imaginary unit i. Perfect for high school and college students who want to master complex number multiplication. Mathematics explained. 00:00 Intro – Complex Numbers 0:11 Example…

Geometry Puzzle: What’s the Radius?

From Math Queen. In this math video I (Susanne) explain how to solve this geometry puzzle, where we have a large square containing a smaller square and a circle. The circle and the inner square touch each other at the center of the circle. Using the Pythagorean theorem and a bit of algebra, we find…

These pixels count themselves.

From Standup Mathematician. Go to https://surfshark.com/standupmaths or use code standupmaths at checkout to get 4 extra months of Surfshark VPN! Try out Christian’s self-referential pixel generator here: https://matt-parker-count-black-pixels.think.somethingorotherwhatever.com/index.html And get your birthday cards here: https://matt-parker-count-black-pixels.think.somethingorotherwhatever.com/birthday.html The original Reddit post: https://www.reddit.com/r/mathpics/comments/1g45j1r/this_image_contains_76018_black_pixels And the tiny pixel font: https://www.reddit.com/r/PixelArt/comments/ppcd19/smallest_legible_pixel_fonts/ CaryKH’s video: https://www.youtube.com/watch?v=uMogvkogvhE The XKCD comic: https://xkcd.com/688/ And the…

The Holey Monster (with 934 faces) – Numberphile

From Numberphile. Richard Elwes explores the world of polyhedra and toroids, including the legendary Holey Monster. More links & stuff in full description below ↓↓↓ Patrons can see an out-take and bonus footage here: https://www.patreon.com/posts/135312036 (or why not become a supporter today and see all our patron-only material) Stella (the software used): https://www.software3d.com/Stella.php Richard Elwes…

Treasure Trove (Zeeman Medal Lecture by Brady Haran) – Numberphile

From Numberphile. Brady Haran’s lecture at the Royal Society upon receiving the Zeeman Medal… More links & stuff in full description below ↓↓↓ Objectivity Playlist of items featured in the lecture: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLCm7kXoUUjWJ3Ku6uGRBoJ The 2024 Christopher Zeeman Medal was awarded to Brady Haran in recognition of excellence in the communication of mathematics – https://www.lms.ac.uk/news/brady-haran-2024-christopher-zeeman-medal It was…

Conway’s Base 13 Function – Numberphile

From Numberphile. John Conway’s amazing Base 13 Function, demonstrated by Asaf Karagila. More links & stuff in full description below ↓↓↓ Asaf is a UKRI Future Leaders Fellow. Asaf’s blog – https://karagila.org More videos and Numberphile podcast featuring Asaf – https://www.youtube.com/playlist?list=PLt5AfwLFPxWJyt0zdvzvDoeL_8pqO0S7p The late John Conway on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWIL8XA1npoNAHseS-j1y-7V Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane…

The Big Daddy of Infinite Integrals – Numberphile

From Numberphile. Tom Crawford explores the Gaussian Integral. More links & stuff in full description below ↓↓↓ More Tom videos on Numberphile: http://bit.ly/Crawford_Videos Tom on the Numberphile Podcast: https://youtu.be/_HwKGncsGo0 Infinity on Numberphile – https://www.youtube.com/playlist?list=PLt5AfwLFPxWKORZ3UeTKlJiJa-89BBz3t Tom Crawford teaches at both the University of Oxford and the University of Cambridge. At Oxford he is the Public Engagement…

The Stein Paradox – Numberphile

From Numberphile. Professor Chris Oates discusses one of the most puzzling paradoxes in statistics. Extra footage: https://youtu.be/Z1-OH1ji8fU — More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk (episode supporter) Chris’ Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Chris Oates at Newcastle University: https://oates.work Patreon: http://www.patreon.com/numberphile Asteroid Bradyharan: https://www.youtube.com/watch?v=VLLrHQVMx64 Numberphile is supported by…

This trumpet represents -2^x

From Standup Mathematician. Bambu Lab is running its 3rd anniversary campaign so now is a great time to check out 3D printing: https://shrsl.com/2p2du-2yn7-1cwx9 The original reddit r/mathpics post: https://www.reddit.com/r/mathpics/comments/cmuq8f/complex_values_of_the_negative_exponential_to/ You know I’m at the Edinburgh Fringe and on tour again! https://standupmaths.com/shows The NYC show is Sunday July 13 at The Bell House: https://www.ticketmaster.com/an-evening-of-unnecessary-detail-brooklyn-new-york-07-13-2025/event/300062B8E9924115 Here is…

The 9-sided Enneahedron – Numberphile

From Numberphile. Christian Lawson-Perfect on creating the Herschel Enneahedron. See the free trial from episode sponsor Brilliant – https://brilliant.org/numberphile — More links & stuff in full description below ↓↓↓ Christian at Newcastle University – https://www.staff.ncl.ac.uk/christian.perfect/ And mathstodon at https://mathstodon.xyz/@christianp Christian’s blog post about this – https://aperiodical.com/2013/10/an-enneahedron-for-herschel/ 3D printable enneahedron on thingiverse at https://www.thingiverse.com/thing:248603 More interesting…

A simple equation that behaves weirdly – Numberphile

From Numberphile. Michael Magee explores a seemingly simple equation with hidden depths… And delves into Vieta jumping (or root flipping). More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk (episode supporter) Michael’s Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Michael Magee is based at Durham University: http://www.mmagee.net Videos about the legendary question…

I’m going to calculate π on the Moon. Literally.

From Standup Mathematician. Support the mission, become a Mathstronaut and get you own bit of Lunar Pi here: https://www.kickstarter.com/projects/standupmaths/moon-pi-were-going-to-calculate-on-the-moon For more details, and the teacher sign-up, head on over to https://pi.space/ Thanks to the great people at Astrobotic Technology. Here is the latest news about the Griffin-1 mission: https://www.astrobotic.com/astrolabs-flip-rover-joins-astrobotics-griffin-1-to-the-moon/ Yes, I thought of the joke…

New maths discoveries! All announced at once!

From Standup Mathematician. Read the Google DeepMind paper about AlphaEvolve here: https://storage.googleapis.com/deepmind-media/DeepMind.com/Blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms/AlphaEvolve.pdf And this is their blog post about the findings: https://deepmind.google/discover/blog/alphaevolve-a-gemini-powered-coding-agent-for-designing-advanced-algorithms and if you really want to get into the details, this Collab should be live soon: https://colab.research.google.com/github/google-deepmind/alphaevolve_results/blob/master/mathematical_results.ipynb Erich Friedman’s Packing Center: https://erich-friedman.github.io/packing/index.html This is the Terence Tao video I mentioned: https://youtu.be/cyyR7j2ChCI?si=-aMVZ7bigZRtLlFw Huge thanks…

Summer of Math Exposition #4 | Teachers, I’d love to hear from you

From 3Blue1Brown. Make a math explainer, get feedback, and receive prizes: https://some.3b1b.co Instead of sponsored ad reads, these lessons are funded directly by viewers: https://3b1b.co/support An equally valuable form of support is to simply share the videos. —————— These animations are largely made using a custom Python library, manim. See the FAQ comments here: https://3b1b.co/faq#manim…

We can fix UK currency with a £1.75 coin

From Standup Mathematician. Check out Bambu Lab printers here: https://shrsl.com/2p2du-2yn7-1cwx9 #bambulab #bambulabA1 #makerworld #bambustudio #bambulabp1s #bambulabX1c #bambulabs #3Dprinting Here are the print files for Andreas Müller’s Dodeclace – the Dodecahedron necklace. https://makerworld.com/en/models/1300677-dodeclace-the-dodecahedron-necklace#profileId-1332937 And Adam Luter’s design for Industrious Dice. https://www.printables.com/model/1112817-rhombic-tricontahedron-industrious-15-sided-dice (More about the maths here: https://mathenchant.wordpress.com/2024/10/17/industrious-dice/ ) Huge thanks to Adam Townsend for all his…

Cardioids in Coffee Cups – Numberphile

From Numberphile. Featuring Ben Sparks… Check out the free trial from episode sponsor Brilliant – https://brilliant.org/numberphile — More links & stuff in full description below ↓↓↓ Footnote 1: https://youtu.be/8tqGQ22nnTA Footnote 2: https://youtu.be/tKA7TqhBhnQ Patreon extra: https://www.patreon.com/posts/126871802 SparksMaths accompanying video: https://youtu.be/tV4zlEpd7lM Ben Sparks: https://www.bensparks.co.uk More Ben Sparks on Numberphile: http://bit.ly/Sparks_Playlist Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane…

The Tea Lady Experiment – Numberphile

From Numberphile. Po-Ling Loh discusses hypothesis testing and a famous experiment involving cups of tea. More links & stuff in full description below ↓↓↓ More from the Leverhulme Trust at: https://www.leverhulme.ac.uk Professor Loh’s Leverhulme Prize: https://www.leverhulme.ac.uk/news/philip-leverhulme-prize-winners-2023 Our podcast with Professor Loh: https://www.youtube.com/watch?v=XCZIYtMi5s4 Professor Loh’s webpage at the University of Cambridge: https://www.dpmms.cam.ac.uk/person/pll28 Patreon: http://www.patreon.com/numberphile Numberphile is…

The World’s LONGEST Klein Bottle – Numberphile

From Numberphile. Cliff Stoll and Lucas Clarke stretch a Klein Bottle to record lengths. More links & stuff in full description below ↓↓↓ In memory of Cliff’s wife, Pat. The movie poster: https://www.patreon.com/posts/126424202 (for Patrons) More videos on our Klein Bottle playlist: http://bit.ly/KleinBottles Cliff Stoll playlist: http://bit.ly/Cliff_Videos Lucas Clarke blows glass at Simon Fraser University:…