# singingbanana

• ### New Wikipedia sized proof explained with a puzzle

• 1 week ago
• 56,149 views
A new mathematical proof was in the news this week, which partially solves the Erdos Discrepancy Problem. The proof was described as "bigger than Wikipedia". I attempt to explain the problem using ...
• ### There are always two opposite points on the Earth with the same temperature

• 1 month ago
• 43,560 views
There are always two points on opposite sides of the Earth with the exact same temperature. And we can prove that.

Temperature changes continuously. If a and b are on opposite sides of the equator...
• ### The Riemann Hypothesis

• 1 month ago
• 64,220 views
The Riemann Hypothesis is one of the Millennium Prize Problems and has something to do with primes. What's that all about? Rather than another hand-wavy explanation, I've tried to put in some detai...
• Milking this material one more time:

### The Maths of Star Trek

• 9 months ago
• 51,097 views
The science of Star Trek has, in the past, been discussed in great detail - but what about the maths of Star Trek?

Star Trek: The Original Series contains a surprising amount of mathematics, inclu...
• ### Maths Problem: Complete Noughts and Crosses (Burnside's Lemma)

• 10 months ago
• 71,412 views
How many ways are there to complete a noughts and crosses board - an excuse to show you a little bit of Group Theory. Rotations, reflections and orbits - oh my!

Burnside's Lemma http://en.wikipedi...
• ### Maths Problem: Complete Noughts and Crosses (tic-tac-toe)

• 10 months ago
• 42,688 views
How many ways are there to completely fill a Noughts and Crosses (tic-tac-toe) board, with four noughts and five crosses? Not including rotations and reflections.

Question sent to me by http://www...
• ### Grime Dice Juggling Balls - woo!

• 11 months ago
• 25,205 views
Grime Dice juggling balls made for me by Pat Ashforth from http://www.woollythoughts.com/grimedice.html

For more information, see my video and article on Grime Dice http://grime.s3-website-eu-west...
• ### More Maths Trolling

• 11 months ago
• 54,535 views
Riemann Series Theorem may be used to show ln(2) = (1/2)*ln(2)

A formula for natural log: ln(1+x) = x - x^2/2 + x^3/3 - x^4/4 + ... for |x| less than or equal to 1.

So ln(2) = 1 - 1/2 + 1/3 - 1/4...
• ### MinutePhysics Maths Trolling (Adding Past Infinity)

• 11 months ago
• 144,123 views

Unlike convergent series, divergent series do not have limits (the sum of the first n ter...
• ### See my response to 'How Predictable Are You' on the IMAmaths channel

• 1 year ago
• 35,206 views
I've made a response to Richard Wiseman's video 'How Predictable Are You' from his Quirkology Channel. The video is not here but featured on IMAmaths - the YouTube channel for the Institute of Math...
• ### The Catenary - Mathematics All Around Us.

• 1 year ago
• 59,614 views
The catenary is the natural shape of a free hanging rope or chain and can be found everywhere. From the the wires of a pylon to the thread of a spider's web. From the world of bubbles to the world ...
• ### The curious case of the WWII carrier pigeon and the unbreakable code

• 1 year ago
• 28,239 views
A British couple discover the remains of a WWII carrier pigeon behind their chimney. It was carrying a coded message. Code experts believe the code used was something called a One-Time Pad Cipher, ...
• ### Another Lock Puzzle

• 1 year ago
• 30,349 views
Imagine a combination lock with three wheels. The wheels are labelled with the numbers 1, 2, 3. Turn the wheels and numbers increase, until 3 turns back to 1. You may only turn the first two wheels...
• ### de Bruijn Card Trick

• 1 year ago
• 27,698 views
Before christmas I showed you some sequences called de Bruijn sequences. They're designed to contain every combination of some numbers without any repeats http://youtu.be/iPLQgXUiU14

For example, ...

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• ### Another Lock Puzzle Solution

• 1 year ago
• 31,333 views
Solution to the puzzle http://youtu.be/23U0X4moMCI
• ### Final video of Turing Week

• 1 year ago
• 7,499 views
Three Turing videos:

Alan Turing - Celebrating the life of a genius: http://youtu.be/gtRLmL70TH0
Alan Turing and Animal Patterns: http://youtu.be/TLfRbJ_3r3g
Campaign for the Turing Tenner: http:/...
• ### Alan Turing and Animal Patterns (morphogenesis)

• 1 year ago
• 12,070 views
James Grime and Thomas Woolley in conversation about Alan Turing, morphogenesis and animal patterns.

Turing's original paper: The chemical basis of morphogenesis http://www.dna.caltech.edu/courses...
• ### Campaign for the Turing Tenner

• 1 year ago
• 10,897 views
This year is the centenary of the birth of Alan Turing. Turing was a mathematician, father of computer science, and WWII code breaker. To celebrate his life there is a campaign to put a picture of ...
• ### singingbanana code challenge 2012

• 2 years ago
• 17,116 views
Send your entries to the Enigma Project http://enigma.maths.org Challenge ends on the 1st of March 2012.
And check out NRICH: http://nrich.maths.org (February 2012 is code month)

cipher:
VA ...
• ### singingbanana code challenge 2012: solution and winners!

• 2 years ago
• 20,550 views
A description of how I broke the code: http://www.singingbanana.com/codechallenge2012.htm

Here's another excellent explanation from Rule The Web (http://www.youtube.com/user/rtwvidz) http://ruleth...
• ### Maths Puzzle: Back to Black

• 2 years ago
• 53,397 views
I have a board that uses the numbers 1 to 90. I fill the board with Othello piece, they are black on one side and white on the other. All the pieces start black side up. First I flip every second n...
• ### Can you crack the combination lock? - Solution

• 2 years ago
• 70,917 views
The sequence 11221 contains all 2-digit combinations using the numbers 1 and 2.

A sequence such as that is called a De Bruijn sequence. I show you three methods to find such sequence. The first ...
• ### Can you crack the combination lock?

• 2 years ago
• 32,828 views
The sequence 11221 contains all 2-digit combinations using the numbers 1 and 2.

Can you find a sequence that contains all the 3-digit combinations using the numbers 1, 2, and 3. What is the shor...
• ### I made a thing! Non-transitive dice from Maths Gear.

• 2 years ago
• 17,931 views
Buy non-transitive dice (and soon other products) at Maths Gear http://www.mathsgear.com

See original non-transitive dice video with David Spiegelhalter here: http://youtu.be/zWUrwhaqq_c

Full art...
• ### Announcing a new channel: Numberphile

• 2 years ago
• 12,871 views
Announcing our new channel Numberphile http://youtube.com/numberphile

Each video will be about a different number. Learn how 11 teaches us how a CD can still play even if scratched, how the square...
• ### Post-it Note Dodecahedron: Your Photos

• 2 years ago
• 10,905 views
• ### 28 Minutes Later - The Maths of Zombies

• 2 years ago
• 15,558 views
A zombie attack can be model as an infection, like an outbreak of flu or measles. This was first done in 2009 using a simple SIR-model by Robert Smith of Carleton University, Canada. This model loo...