Ptolemy's Theorem

The latest Numberphile video is a beautiful proof of Ptolemy’s Theorem, presented by Zvezdelina Stankova.

Zvezda’s proof was followed by a second video, which utilises Ptolemy’s Theorem to show two remarkable things about equilateral triangles and pentagons - well worth a look and a much shorter video.

There is a third video, posted to the Numberphile2 extra channel, which shows a little bit more about the method of inversion.

PS: The first video’s length and “epic-ness” is perhaps matched only by our “Epic CIrcles” from 2014, which funnily enough also heavily featured the use of inversion. That video was presented by Simon Pampena.

The Mummy Returns

Like many people, I’ve had a lifelong fascination with Egyptology and the notion of discovering ancient tombs and mummies.

Making this kind of video is likely as close as I’ll ever get.

Thanks to the society and conservator Bethany Palumbo for making it possible.

You can help the society with the Tahemaa preservation project at this link.

If you’d like to see more Objectivity videos like this, you can help us get out and about by supporting Objectivity on Patreon.

Here is the first video we made:

#TeamTrees

Today starts a big fundraising campaign to plant 20 million trees.

Various YouTubers and other “web people” are posting material related to the campaign.

FIND OUT MORE (AND CONTRIBUTE) HERE

I’ve posted this Numberphile with Tony Padilla, which combines two epic numbers we’ve discussed previously - TREE(3) and Graham’s Number.

We’ve combined them to create TREE(Graham’s Number).

The brown papers from this video are being auctioned for #TeamTrees.

For extra footage from the TREE(g64) video, see here.

For even more tree-related comment, see our Guide to Trees playlist created with Markus Eichhorn.

Turing on the £50 note

The Bank of England has announced Alan Turing will be on the next £50 note.

Here are some videos we’ve made on the topic…

First an Objectivity video in which we speculated about who might be on the note.

On the Numberphile Podcast I spoke with Simon Singh about his role on the committee which made the decision. It’s the early part of the podcast.

Here’s are some Numberphile videos about the Enigma Machine from Alan Turing superfan James Grime.

And some Computerphile videos

Plus, while we’re speaking of the Bank of England, some gold in their vault

Moon Rocks

Four years ago I visited Johnson Space Center in Houston.

Original Mission Control

Original Mission Control

The cool people at NASA (and my mate Destin from Smarter Every Day) arranged the visit and we went to my equivalent of a Holy Place — the vault in which the Apollo moon rocks are stored.

Among the collection was a cabinet full of the Apollo 11 rocks from Neil Armstrong and Buzz Aldrin’s famous first moonwalk.

Apollo 11 rock collection

Apollo 11 rock collection

We also saw The Genesis Rock - a famous sample collected during Apollo 15.

Genesis Rock on the Moon

Genesis Rock on the Moon

Checking out the Genesis Rock

Checking out the Genesis Rock

Destin did his own video too, of course.

For an Apollo fan like me this was an amazing experience.

My thanks to Destin, the lab staff at NASA, and our friend Gordon who also helped make this possible.

With Destin in Houston

With Destin in Houston

Cheeky pic of Moonwatch in Moon Rock room!

Cheeky pic of Moonwatch in Moon Rock room!