# singingbanana

• ### A visit from Rafael Procopio (Matemática Rio) - Duration: 87 seconds.

• 2 months ago
• 14,617 views
I was visited by Rafael Procopio from Matemática Rio.

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• ### Origami Soma Cube - Duration: 2 minutes, 22 seconds.

• 2 months ago
• 43,425 views
The soma cube is a famous puzzle among mathematicians. Seven tetris-like pieces fit together to make a 3x3 cube. I made one from post-it notes.

My instructions for the sonobe units: https://www.yo...
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• ### Sum of Fibonacci Numbers Trick - Duration: 6 minutes, 8 seconds.

• 2 months ago
• 146,972 views
A little trick to sum Fibonacci numbers. Try it out.
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• ### The International Maths Salute with Dr James Tanton - Duration: 91 seconds.

• 3 months ago
• 23,321 views
I caught James at the MATRIX conference in Leeds in September 2016. I'm a fan of his work so this was cool. We grabbed a moment to make a super quick video.

Go see James' videos on his YouTube cha...
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• ### Ten years on YouTube - Duration: 47 seconds.

• 3 months ago
• 31,167 views
Jim Bob scores a hat trick https://youtu.be/HkcoKbr5NjQ
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• ### Ramanujan Review - Duration: 117 seconds.

• 7 months ago
• 41,273 views
A sort of review of The Man Who Knew Infinity. And a *review* of other videos that came out this week.

standupmaths: Ramanujan, 1729, Fermat's Last Theorem https://www.youtube.com/watch?v=_o0cIpLQ...
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• ### Ramanujan Summation - Duration: 8 minutes, 46 seconds.

• 7 months ago
• 87,622 views
The third video in a series about Ramanujan.This one is about Ramanujan Summation.

Euler-Maclaurin...
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• ### Ramanujan's Pi Formula - Duration: 4 minutes, 21 seconds.

• 7 months ago
• 121,932 views
The second video in a series about Ramanujan. Continuing the biography and a look at another of Ramanujan's formulas. This one involves Ramanujan's pi formula.
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• ### Ramanujan: Knowing The Man Who Knew Infinity - Duration: 4 minutes, 39 seconds.

• 7 months ago
• 66,595 views
The first video in a series about Ramanujan. A bit of biography then a look at one of Ramanujan's formulas. This one involves infinite nested radicals.

Here's a more formal look at Ramanujan's nes...
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• ### Married Problem survey result - Duration: 90 seconds.

• 8 months ago
• 45,266 views
Here is my solution video: https://youtu.be/pTpBcxIg-9A

Here is the solution and results from the problem by Alex Bellos https://www.theguardian.com/science/2016/mar/28/did-you-s......
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• ### Married Problem with solution (plus extra problem) - Duration: 9 minutes, 17 seconds.

• 8 months ago
• 145,235 views
Jack is looking Anne, but Anne is looking at George.
Jack is married, but George is not.
Is a married person looking at an unmarried person?
A) Yes B) No C) Cannot be determined

Here is the soluti...
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• ### Married Problem - Will 80% of people get this problem wrong? - Duration: 89 seconds.

• 8 months ago
• 62,914 views
Jack is looking Anne, but Anne is looking at George.
Jack is married, but George is not.
Is a married person looking at an unmarried person?
A) Yes B) No C) Cannot be determined

Unfortunately the ...
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• ### Maths Puzzle: The self descriptive number solution - Duration: 13 minutes.

• 11 months ago
• 129,347 views
Solution to the self descriptive number puzzle https://www.youtube.com/watch?v=K6Qc4oK_HqY

Here is the original version of the proof presented in the video http://singingbanana.com/self%20describi...
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• ### Maths Puzzle: The self descriptive number - Duration: 77 seconds.

• 11 months ago
• 71,411 views
I have a ten digit number. The first digit tells me how many zeros are in the number. The second digit tells me how many ones are in the number. The third digit tells me how many twos are in the nu...
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• ### 2016 - The start of a new (dozenal) century - Duration: 4 minutes, 39 seconds.

• 11 months ago
• 88,320 views
2016 is the beginning of a new century - if you count in twelves. If you do that then the year 2016 becomes the year 1200.

Counting in twelves is known as the dozenal system, and a "century" in d...
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• ### Cheryl's Birthday Problem - It depends on your point of view - Duration: 9 minutes, 7 seconds.

• 1 year ago
• 157,412 views
Cheryl's Birthday problem was a question in a recent Singapore Maths Olympiad. Here is the problem:

You have Albert, Bernard and Cheryl. Cheryl says "my birthday is one of these ten dates"

May 1...
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• ### The Imitation Game Reaction - Duration: 6 minutes, 34 seconds.

• 2 years ago
• 73,113 views
For more of my thoughts read The Imitation Game FAQs here http://aperiodical.com/2014/11/an-alan-turing-expert-answ...
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• ### Lorenz: Hitler's "Unbreakable" Cipher Machine - Duration: 11 minutes.

• 2 years ago
• 98,604 views
Many people have heard of Enigma before, the code machine used by Nazi Germany to send secret coded messages. Yet, some very clever code breakers were able to break that code and read those message...
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• ### Cubic Curve Calculator - Duration: 5 minutes, 58 seconds.

• 2 years ago
• 75,252 views
Turn a cubic curve (with no x^2 term) into a calculator for sums, multiplications and square-roots.

Simply draw a line across the curve so that it intersects at three points, a, b and c. We may no...
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• 2048 strategy and maths from Steve's channel

### 2048 strategy and maths - Duration: 24 minutes.

• 2 years ago
• 291,533 views

You can play 2048 here:
http://gabrielecirulli.github.io/2048/

You can watch it being played by AI here:
http://ov3y.gi...
• ### 2048 Induction Extra - Duration: 8 minutes, 51 seconds.

• 2 years ago
• 62,391 views
An extra bit from our 2048 video on Steve Mould's channel.

Full video here: 2048 strategy and maths http://youtu.be/OO4tA5i7X9g

Play 2048 here http://gabrielecirulli.github.io/2048/

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• ### Building Houses Solution - Duration: 7 minutes, 2 seconds.

• 2 years ago
• 60,522 views

Imagine the line from 0 to 1. Write a sequence of points such that the first two points occupy different halves, the first three occupy dif...
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• ### Building Houses Problem - Duration: 3 minutes, 23 seconds.

• 2 years ago
• 66,972 views
Imagine the line from 0 to 1. Write a sequence of points such that the first two points occupy different halves, the first three occupy different thirds, the first four occupy different fourths, an...
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• ### New Wikipedia sized proof explained with a puzzle - Duration: 10 minutes.

• 2 years ago
• 458,033 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 ...
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• ### There are always two opposite points on the Earth with the same temperature - Duration: 2 minutes, 12 seconds.

• 2 years ago
• 124,312 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...
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• ### The Riemann Hypothesis - Duration: 19 minutes.

• 2 years ago
• 336,297 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...
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• Milking this material one more time:

### The Maths of Star Trek - Duration: 25 minutes.

• 3 years ago
• 109,982 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...
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• ### Maths Problem: Complete Noughts and Crosses (Burnside's Lemma) - Duration: 7 minutes, 39 seconds.

• 3 years ago
• 140,201 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...
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• ### Maths Problem: Complete Noughts and Crosses (tic-tac-toe) - Duration: 119 seconds.

• 3 years ago
• 74,328 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...
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• ### Grime Dice Juggling Balls - woo! - Duration: 2 minutes, 53 seconds.

• 3 years ago
• 33,390 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...
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• ### More Maths Trolling - Duration: 5 minutes, 17 seconds.

• 3 years ago
• 132,790 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...
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• ### MinutePhysics Maths Trolling (Adding Past Infinity) - Duration: 5 minutes, 43 seconds.

• 3 years ago
• 311,779 views

Unlike convergent series, divergent series do not have limits (the sum of the first n ter...
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• ### See my response to 'How Predictable Are You' on the IMAmaths channel - Duration: 31 seconds.

• 3 years ago
• 43,812 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...
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• ### The Catenary - Mathematics All Around Us. - Duration: 4 minutes, 14 seconds.

• 4 years ago
• 87,690 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 ...
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• ### The curious case of the WWII carrier pigeon and the unbreakable code - Duration: 6 minutes, 16 seconds.

• 4 years ago
• 40,083 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, ...
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• ### Another Lock Puzzle - Duration: 63 seconds.

• 4 years ago
• 43,563 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...
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• ### de Bruijn Card Trick - Duration: 4 minutes, 23 seconds.

• 4 years ago
• 50,183 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 - Duration: 2 minutes, 38 seconds.

• 4 years ago
• 42,443 views
Solution to the puzzle http://youtu.be/23U0X4moMCI
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• ### Final video of Turing Week - Duration: 68 seconds.

• 4 years ago
• 9,126 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:/...
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• ### Alan Turing and Animal Patterns (morphogenesis) - Duration: 8 minutes, 19 seconds.

• 4 years ago
• 19,930 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...
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• ### Campaign for the Turing Tenner - Duration: 112 seconds.

• 4 years ago
• 14,395 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 ...
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• ### singingbanana code challenge 2012 - Duration: 3 minutes, 25 seconds.

• 4 years ago
• 24,587 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 ...
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