A Strange Map Projection (Euler Spiral) - Numberphile

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NUMBERPHILE

Videos by Brady Haran
Animation by Pete McPartlan

[Hirudin]

Oh no, wait until the flat orangers see this video...

[EmperorTigerstar]

The Euler Spiral map both horrifies and intrigues me.

[johanmedrano]

Normal people: the earth is round
Flat earthers: the earth is flat
Mathematicians: the earth should be a spiral

[michaeljohnregalado]

Hannah Fry: “We’ve only got this room for an hour. What should we do?”
Obviously cut up a globe into an Euler spiral

[fishypaw]

I love Hannah's presenting "style", relaxed but enthusiastic at the same time. I've always been a bit of nerd when it comes to peeling oranges. One of my favourites is to make a little lantern out of it. I also remember seeing (in my grandpa's magic book) a way of peeling an orange that allows you to remove the orange but the peel stays as a sphere that can expand to get the orange out but keeps the overall shape. I've forgotten how to do it though. I'll need to see if I can find out how to do it again. I doubt it would work as a map though, but it looks cool.

[muzvid]

My favorite map of the globe was designed by Buckminster Fuller. It projects the earth's surface onto an icosahedron, distributing the distortions across 20 triangles. It also radiates the continents out from the north pole, displaying the world as basically one large land-mass surrounded by one continuous ocean. As much as possible, the cuts are in the ocean.

[ESPONO]

I've learned about gaussian curvature when the Klein Bottle professor explained to me how to correctly hold a pizza slice!

[samuctrebla]

"In 3 hundred meters, make a loop around the earth, and then turn right"

[zwitter]

I don't know if what I enjoyed more - Hannah's narration or the mathematics. Both are delightful

[gussnarp]

As a geographer, I really loved this video and learning about this new projection. This projection shares a feature with the Mercator projection. On the Mercator projection there is one place where there is zero distortion, which is the equator, where the cylinder would touch the sphere. The Euler spiral enables you to create a similar line of zero distortion that encompasses the whole globe. Of course, in both cases the true line of zero distortion is a one dimensional line, which is why you have to go to infinity in the spiral to get there, but I completely see the beauty in this. I love it.

[LuxuryDigitalAgenci]

New Hannah Fry video?!?!? It's like christmas to me

[joshuagriffiths]

"I think we should prioritize mathematical beauty over geographical practicality." - Hannah Fry
I can't tell you how much I love this statement.

[RhejMacTavish]

"Mathematically beautiful, if Geographically impractical" 😂

[oHawkeyeo]

If hannah fry was my maths lecturer, I wouldn't miss a class

[emperorpicard]

Imagine folding the Euler Spiral map in the car.

[dingaia]

love hannah <3 passion is infectious and such a wonderful personality, bet she's great fun to talk to!

[jalabi]

Hello, I am from the Flat Orange Society. Mind if we have a word?...

[WalrusRiderEntertainment]

Your subscribers are now 3.2 million but I am wondering who was the Pi millionth subscriber 🤔

[rhubarbjin]

4:05 “There are a few different options here, but none of them are going to get you completely around this problem.”

I see what you did there.

[lumerb]

I think it's important to say why/how Mercator is useful for navigation. A straight line in Mercator is not a straight line in real life, however, if you navigate with a compass, your compass will remain pointing to the same direction throughout your line.