How One Line in the Oldest Math Text Hinted at Hidden Universes

Imagine the greatness of the man who wrote 1 little paragraph and made mathematicians mad for 2000 years

Let’s all appreciate Euclid’s effort he put into writing The Elements just so that Veritasium could make a video about it

To call Euclid just "Father of Geometry" is an understatement. The major branches of math are built from Axioms, and Euclid pioneered that. He might as well be called the Father of Pure Mathematics itself.

How terribly tragic it is that one lives, studies and discovers the incredible and never knew the greatness of their accomplishment in life.

Veritasium's videos are generally great but the math ones are on another level

The way this entire video beautifully transforms right from a single point in euclidean geometry to the shape of the entire observational universe itself is so fascinating

Related note: if you’re interested in seeing more of and playing around with hyperbolic (and possibly others) geometry, I highly recommend the videogame HyperRogue. It’s a top-down (with poincare projection by default) roguelike, but also features many tools for building projections, tilings and pictures. It’s unique, offers an interesting point of view on a lot of these things and plays around with them in many different ways.

Being able to explain complex ideas simply indicates understanding. Well done.

Being able to observe and predict a phenomenon as large scale as light bending around an entire galaxy to make a cosmic lense is insane. What a time to be alive.

As an astrophysics major, I love how a video on ancient math turns into a cosmology lesson

What an amazing episode, thank you for putting that together and making the mathematical thinking accessible.

Brilliant work this video. There is no way I could have understood these concepts from a text book. This approach opens up access to even to relativity and quantum physics imho. Thanks to Veritasium I have some hope of comprehending even modern terminologies without completely understanding the math.

Veritasium’s math videos are so good. Just never gets bored watching them.

This video combined 3 best kinds of videos you make: 1. History of science & math 2. Visualization of difficult concepts especially those of physics & mathematics 3. The current great curiousity of humanity

I truly enjoy watching your videos about math, geometry in particular. As a student in Belgium, I excelled in maths but was never motivated by the school or parents to pursue a degree in it. I switched from high maths to computer science before turning 17. Currently I work as an architect drawing in 3D and automating the software (Revit) with custom packages and dynamo scripts to assist collegues. I feel like ive wasted my potential in maths, especially since I was teaching my class at 13 in spherical geometry because the teacher himself didnt get his point across clearly. Seeing someonelike you, makes me realize what I wished I pursuit,even though I understand the chance I couldve gotten as far is slim. Keep making these videos please, thank you so much.

I love how some things went unsolved for millennia and then multiple people have the same idea at the same time. This has happened over and over in the history of science and mathematics.

I find it so wild that mathematicians can do crazy things like predicting one supernova appearing 5 times spaced 1 year apart, but do things like spending 2000 years arguing about 1 sentence Edit - How did this start a war. I just exagerated some stuff to make a point

I really enjoy these videos. I really appreciate how you present modern theory in an Accessible way, and yet you do it with a humility that is so often lacking in how journalism covers these things. I think that the electric Universe criticisms of the cosmic microwave background research deserves to be answered, but I also believe that the work you're doing here is important no matter how science and Discovery changes what we're seeing.

You are gifted with a unique, original, very clear manner of explaining rather difficult-to-grasp or purely theoretical problems in a perspicuous way, easily understandable by a layman with no true mathematical background like myself. Only a person with deep knowledge, assiduousness and experience in math and physics can relay such information to non-experts. I cannot congratulate or thank you enough for the exceptional uploads of your channel. Please keep up the top-notch work. Many, many thanks!

Gauss never ceases to amaze me.