Мэтт Паркер, комик и математик, в этой лекции показывает, как четырехмерные фигуры появляются в 3D мире, и показывает, возможно, самую ботанскую в мире вязаную шапку!
Подписка на еженедельные научные видео: bit.ly/RiSubscRibe

Помогите нам добавить субтитры к этой лекции: www.youtube.com/timedtext_video?v=1wAaI_6b9JE

Подписка на регулярных научных видео: bit.ly/RiSubscRibe

Узнайте, как сделать сердечки из петли Мёбиуса, 4d рамки из питьевых соломинок и очистителей труб, и другие математические трюки в этом интересном разговоре Мэтта Паркера. Мэтт объясняет, как узнать, что кто-то бросает в вас 4d кубы, а также то, что происходит, когда ваша мама вяжет трехмерную тень четырехмерного пончика, чтобы носить её на голове, в этой веселой беседе о проблемах визуализации четвертого измерения.

Мэтт Паркер был австралийским школьным учителем, прежде чем он переехал в Лондон, где он работает как комик и математический коммуникатор. Он пишет книги, появляется на радио и в телевизионных шоу, способствует газетам, посещает школы и дает комедийные шоу.

Это событие произошло в Королевском институте во вторник 27 января.

Узнайте о более событиях, происходящих в Королевском институте в Лондоне: www.rigb.org/whats-on

Ri на Twitter: twitter.com/ri_science
и Facebook: www.facebook.com/royalinstitution
и Tumblr: ri-science.tumblr.com/
Подписка на последних научных видео: richannel.org/newsletter / Наша редакционная политика: richannel.org/home/editorial-policy

Huge thanks to Jane Street! www.janestreet.com/join-jane-street/

Check out Ben Sparkss GeoGebra files.
Binet formula 2D complex output: www.geogebra.org/m/twvvzpga
3D imaginary output of Binet formula: www.geogebra.org/m/z6dy9cj5
3D plot of absolute output of Binet formula: www.geogebra.org/m/pb7hmxyd

My four-part series on Numberphile videos about Fibonacci Numbers (from 2014) starts here.
www.youtube.com/watch?v=D8ntDpBm6Ok

Here is me going on about the square root of five (Numberphile 2018).
www.youtube.com/watch?v=z1THaBtc5RE

This was the Fibonacci puzzle video from Matt Parkers Maths Puzzles.
www.youtube.com/watch?v=ILrqPpLpwpE

Read a whole bunch about «Generalized Fibonacci Sequences and Binet-Fibonacci Curves».
arxiv.org/pdf/1707.09151.pdf

The zero I found was at -9.14202391817 2.80064954276i and you can see the exact form here: www.wolframalpha.com/input/?i=(10*pi)/(pi + i*(log(sqrt(5) — 1) — log(1 + sqrt(5))))

Try it for yourself and put the Binet Formula (((1 sqrt(5))/2)^n — ((1-sqrt(5))/2)^n)/sqrt(5) in the Wolfram roots calculator: www.wolframalpha.com/widgets/view.jsp?id=b858339e64fa997454dd12f77cb1ece1

This site has everything youll ever need to know about Fibonacci Numbers.
www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fibFormula.html

Buttercup — The original buttercupchallenge
www.youtube.com/watch?v=l17l_KTAVJ0

CORRECTIONS
This was a long video and in hindsight there are a few things I wish I had phrased better. Here they all are:
— I misspoke around 01:13 when I said «negative one, zero» as it is clearly «negative one, one, zero».
— At 07:53 I mean the negative values -5 to 0. I said it a weird way.
— My language at about the 1D input to 2D plot from 09:17 is a bit sloppy. The real values going into the Binet function are not the horizontal axis shown; the plot onscreen is solely the output.
— I say «axis» when I mean «plane» or even «complex plane». The big flat thing.
Let me know if you spot anything else!

Thanks again, as always, for Jane Street being my principal sponsor.
www.janestreet.com/

Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset:

Loren Thomas
Richard Dickins
Barry Salter
Susan Moury
Sarah Gerweck
Ulrich Kempken
Piotr
Gary Martin
Euler
Daniel DeJarnatt

Support my channel and I can make more videos:
www.patreon.com/standupmaths

Filming and editing by Matt Parker
Music by Howard Carter (excluding Buttercup)
Design by Simon Wright and Adam Robinson

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/

I look at the historical quirks which gave us TV at 29.97 frames per second. In North America at least. Its a comfortable 25 fps in Europe.

More on that thing I mentioned at the end of the video here:
www.patreon.com/standupmaths

Here is the spherical video I was making with Henry Segerman which made me research NTSC frame rates in the first place:
www.youtube.com/watch?v=Yp12c3-IL-I

Yes, technically, if you divide 4,500,000 by 286 you get a horizontal frequency of 15,734.26573 lines per second. That matches a frame rate of 29.97002997002997… and so old TVs used 30/1.001 = 29.97002997002997…

CORRECTIONS:
— A lot of people pointing out that increasing the number of horizontal lines without increasing the bandwidth would be a loss of resolution. Which is a good point.

Music by Howard Carter
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Website: standupmaths.com/
Patreon: www.patreon.com/standupmaths
Nerdy maths toys: mathsgear.co.uk/

Featuring Matt Parker, who also wrote a book: bit.ly/Matt_4D_US
More links

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/

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/

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/

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/

Dividing by zero, zero divided by zero and zero to the power of zero — all pose problems!
More links

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