Calculating π by hand
For Pi Day 2016 I tried to calculate π by hand, using an infinite series. It goes ok.
Before you even start:
— Yes, I know π Day requites writing the date MM/DD. By objective measures: the wrong way. I dont care. My love of π is stronger.
— My opinion of Tau is a matter of public record: youtu.be/ZPv1UV0rD8U
CORRECTIONS:
— At 17:23 it should be π/4 not 1/π. That was contamination from the next graphic. (First spotted by Najeeb Sheikh and Jake Trookman.)
Check out y-cruncher:
www.numberworld.org/y-cruncher/internals/formulas.html
Calculating pi by weighing a circle:
www.youtube.com/watch?v=Ngj0a57Rlb0
Calculating pi with a pendulum:
www.youtube.com/watch?v=qYAdXm69l8g
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
New book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/
Paraboloids and The Building which Set Things on Fire
The building in London at 20 Fenchurch Street started to set things on fire! But it could have been worse. I use a paraboloid to set other things on fire.
Oh, and theres a maths proof.
News stories about the concave building:
www.dailymail.co.uk/news/article-2786723/London-skyscraper-Walkie-Talkie-melted-cars-reflecting-sunlight-fitted-shading.html
www.bbc.co.uk/news/uk-england-london-23930675
www.independent.co.uk/news/uk/home-news/walkie-talkie-skyscraper-to-be-fitted-with-permanent-sunshade-after-it-melted-cars-9379037.html
Festival of the Spoken Nerd:
festivalofthespokennerd.com/
Play with the Geogebra parabola demonstration:
www.geogebra.org/material/show/id/189498
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/
Why is the Apple Calendar so broken?
UPDATE: I’m hearing reports of calendar apps crashing quite severely. Please only experiment on non-vital apps as you could hypothetically lose data stored in them! But apparently if the app crashes and restarts don’t fix it: a forced restart will.
Proceed with caution, at your own risk, and report any findings!
Buy a physical book from Waterstones! bit.ly/humblepi_waterstones
ebook on Amazon: www.amazon.com/s?k=humble pi
Audiobook on Audible: www.audible.co.uk/pd/Humble-Pi-Audiobook/0241375509
Huge thanks to Nick Day and Ken Taylor who emailed me about this bug. If you find anything out, or know someone who might know, email me: matt@standupmaths.com
If you want to read the part of my book about this, here it is. (Dont tell anyone I let you have it for free.)
www.dropbox.com/s/ccloc2ql091l1v5/HumblePi-calenduh.pdf?dl=0
This is the video of me talking about the Boeing 787 Dreamliner and the Los Angeles Air Traffic Control Route Center problems.
www.youtube.com/watch?v=HYgqvapH7ak
2^52 microseconds before 1 January 2001
www.wolframalpha.com/input/?i=2^52 microseconds before 1 January 2001
(yes, yes, it is technically off by a microsecond)
CFAbsoluteTime
Type used to represent a specific point in time relative to the absolute reference date of 1 Jan 2001 00:00:00 GMT
developer.apple.com/documentation/corefoundation/cfabsolutetime
Double-precision floating-point format on wikipedia.
en.wikipedia.org/wiki/Double-precision_floating-point_format
CORRECTIONS
— Nothing yet. Let me know if you spot anything!
Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:
Toby ONeil
Nate Brown
Jordan Scales
Matthew Holland
Philippe von Bergen
Glenn Watson
Kevin Mannon
David Lake
Lucas Werkmeister
Jan Strohbeck
Support my channel and I can make more videos:
www.patreon.com/standupmaths
Filming and editing by Matt Parker
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
US book: www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/
UK book: mathsgear.co.uk/products/5b9fa76f230ffa140094dc43
Nerdy maths toys: mathsgear.co.uk/
The 10,000 Domino Computer
Matt Parker and a team of Domino Computer Builders balanced over 10,000 dominoes in a carefully designed circuit. The result was a Domino Computer capable of automatically adding numbers. It can take any two four-digit binary numbers and return the five-digit binary sum.
Its a computer, made of dominoes.
Watch the Numberphile where Matt explains more of the maths: youtu.be/lNuPy-r1GuQ
As well as the secret Numberphile bonus interview: youtu.be/rEw2hE8ZRlY
There are free worksheets and teaching resources about binary numbers and logic gates here:
think-maths.co.uk/downloads/domino-computer-worksheets
Computer design:
Matt Parker, Katie Steckles, Paul Taylor, Andrew Taylor, Siân Fryer
Builders:
Ben Curtis, Becky Smedley, Mike Bell, Blair Lavelle, Andrew Pontzen, Jonathan Sanderson, Elin Roberts, Chris Roberts, Ben Ashforth, Gillian Kiernan, David Julyan
Thanks to Marieke Navin, Natalie Ireland, Nicola Frost and everyone at the Museum of Science and Industry who made this possible. www.mosi.org.uk/
Huge thanks to Jonathan Sanderson at StoryCog for making the video. storycog.com/
Problems with Zero - Numberphile
Dividing by zero, zero divided by zero and zero to the power of zero — all pose problems!
More links
The Mathematics of Winning Monopoly
I talk to Hannah Fry and compare our mathematical investigations into playing Monopoly. I’ve put all my probabilities below.
You can buy a signed copy of Hannahs book on Maths Gear:
mathsgear.co.uk/collections/books/products/signed-copy-of-the-indisputable-existence-of-santa-claus
In the UK you can also get it from Waterstones:
www.waterstones.com/book/the-indisputable-existence-of-santa-claus/dr-hannah-fry/dr-hannah-fry/9780857524607
There is a Kindle edition on Amazon:
www.amazon.com/Indisputable-Existence-Santa-Claus-ebook/dp/B01G96DPWS?_encoding=UTF8
How many different Youtube videos are possible?
Download the podcast of my BBC Radio4 show, Domestic Science (Ep1) www.bbc.co.uk/programmes/p02pc9x6/episodes/downloads
In this video I start with how many 256×256 greyscale images are possible and work my way up to the maximum number of possible YouTube videos.
Original question on twitter:
twitter.com/dedwarmo/status/755799688759037953
Here is our radio show on the BBC radio player. Let me know if it does not work for you.
www.bbc.co.uk/programmes/b07lxqq8/episodes/player
Our Festival of the Spoken Nerd DVD and download:
shop.festivalofthespokennerd.com/
Galaxy M81 image credit: NASA/JPL-Caltech/ESA/Harvard-Smithsonian CfA
Music by Howard Carter
Design by Simon Wright
MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Maths book: makeanddo4D.com/
Nerdy maths toys: mathsgear.co.uk/
LMS Popular Lecture Series 2010, Clutching at Random Straws, Matt Parker
Matt Parker is awarded 2020 Christopher Zeeman Medal — rel.ink/kdO4xy
How To Count Past Infinity
my twitter: @tweetsauce
my instagram: electricpants
Sources and links to learn more below!
I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it.
I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin.
And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, is superb: www.youtube.com/user/numberphile
BOOKS related to these topics that I used:
“The Outer Limits of Reason” by Noson S. Yanofsky: amzn.com/0262019353
“Infinity and The Mind” by Rudy Rucker: amzn.com/0691121273
“Roads to Infinity” by John C. Stilwell: amzn.com/1568814666
“More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart: amzn.com/1551119099
“Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan: amzn.com/0486470369
classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder: amzn.com/0486488209
Hugh Woodin speaking about infinity at the World Science Festival: youtu.be/KDCJZ81PwVM?t=29m45s
Names of large (finite) numbers: en.wikipedia.org/wiki/Names_of_large_numbers
Geoglyphs:
The biggest number: goo.gl/maps/7GWcpnzo7iG2
Fovant badges: en.wikipedia.org/wiki/Fovant_Badges
Battalion Park: en.wikipedia.org/wiki/Battalion_Park
A mile of pi [VIDEO]: www.youtube.com/watch?v=0r3cEKZiLmg
Wikipedia’s great visualization of ordinals out to omega^omega: en.wikipedia.org/wiki/File:Omega-exp-omega-labeled.svg
as seen on: en.wikipedia.org/wiki/Ordinal_number
this is also a good page about ordinals: math.wikia.com/wiki/Ordinal_Number
also: www.cut-the-knot.org/WhatIs/Infinity/Ordinals.shtml
and: en.wikipedia.org/wiki/Order_type and en.wikipedia.org/wiki/Well-order
Axioms:
en.wikipedia.org/wiki/Axiom
www.reddit.com/r/askscience/comments/30xokb/have_there_been_axioms_that_later_have_been/
philosophy.stackexchange.com/questions/5922/what-is-the-difference-between-dogma-and-an-axiom
www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms1.pdf
www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms2.pdf
THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES
[PDF]: www.maths.ed.ac.uk/~aar/papers/wigner.pdf
en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences
Large Cardinal game based on 2048: cantorontheshore.blogspot.it/2014/10/one-reinhardt-and-counting.html
Other good resources:
quibb.blogspot.com/2012/01/infinity-first-transfinite-cardinal.html
plato.stanford.edu/entries/set-theory/
cantorsattic.info/Cantor's_Attic
cantorontheshore.blogspot.co.at/2014/09/artemis-fowl-and-large-cardinals_22.html
isomorphism.es/post/10782081422/what-comes-after-infinity-transfinite-arithmetic-and-ord
lukepalmer.wordpress.com/2007/06/14/the-lesser-of-infinitely-many-evils/
MUSIC BY:
www.youtube.com/JakeChudnow
www.audionetwork.com