Triangles have a Magic Highway - Numberphile

Triangles have multiple centres, and many of them lie on the so-called Euler Line.
More links & stuff in full description below ↓↓↓

Featuring Zvezdelina Stankova.
Editing and animation by Pete McPartlan.

NUMBERPHILE

Videos by Brady Haran

[Kryoclasm]

You should have Zvezdelina do more videos,
I never get bored when she is explaining something.

[CastorQuinn]

I cannot get my head around how Zvezdelina can draw all these diagrams so well just by hand. I can't even manage a straight line by hand at all, let alone one which bisects an angle and meets a line at its midpoint.

[MikeDawson]

We've learned two things:
- the animations are VERY well done
- that lady REALLY likes triangles
:)

[Vanko]

1:00 Nice nod to the Vitosha computer, the first Bulgarian made computer :)

[barmansushi]

Pete, nice work on the animations, really helps with visualisation

[xmotoFF]

“Some of his [Euler's] simplest discoveries are of such a nature that one can well imagine the ghost of Euclid saying, 'Why on earth didn't I think of that?'”
H. S. M. Coxeter

[KalebPeters]

Wow, I love when such simple geometry can produce such a seemingly magical result!
And side-note; the graphics in this video were _awesomely_ done.

[jkid]

Very solid and rigorous proof there, dancing a triangle about graphically

[regulargold]

The beauty of the Euler line is that it means there is a triangle around every line

[AlekVen]

7:13 This really does look like a rotation in 3D rather than some purely 2D transformations. Cool.

[BlueGatorade]

on which point of a triangle is the hospital located?



the medicenter!

[yellowmeerkat]

I love the videos with helpful animations from Pete McPartlan and I love the videos with Zvezdelina Stankova, so this is absolutely wonderful.
Thank you for the gift, Brady.

[JLConawayII]

The medicenter is where I have to go after watching this. My head hurts.

[dougmercer]

This is one of my favorite numberphiles to date. A charming result, presenter, and animations.

[ba_livernes]

The "Nah just kidding" at 4:00 killed me

[meri]

I really love the way Zvezdelina explains things!

[ricardo.mazeto]

These videos makes me fall in love with maths!

[thiagovscoelho]

my favorite property of the centroid (in Portuguese it's the 'baricentro') is that it's the triangle's center of gravity.
this means that a triangle can be balanced on that point

[spaceminers]

This can explain metaphysics, quantum physics, faster than light travel as well as help solve the three body problem

[JDSileo]

I could listen to Professor Stankova lecture all day.