Every Unsolved Geometry Problem that Sounds Easy

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Timestamps

0:00 Square packing
1:38 Bellman’s lost in a forest problem
3:25 Ulam’s packing conjecture
5:39 Lesbegue’s universal covering problem
7:47 Moser’s worm problem
10:15 Kobon triangle problem

— DISCLAIMER —

This video is intended for entertainment and educational purposes only. It should not be your sole source of information. Some details may be oversimplified or inaccurate. My goal is to spark your curiosity and encourage you to conduct your own research on these topics.

[ThoughtThrill]

Let me know if there's a topic you'd like me to cover next. 😊

[dlju]

I’m lost in the woods and I’m very glad I found this survival video.

[autumnson]

No intro, no outro. This guy doesn't play around with our time! We love to see it!

[bendoubleu_]

If mathmaticians dont solve them in the next year Ill have to get involved 🐺

[russell_rozenbaum]

GUYS. Watch every section all the way though. Ended up in a forest for several days and did not find a solution.

[debblez]

2:51
Correction: the equilateral triangle is the only regular polygon that isn’t fat. its solution is known, but it isn’t a straight line path.

[BinaryCommando]

We are even further from solving the "Worms lost in a forest" problem

[AA-]

Moving Sofa problem is also an unsolved geometry problem

[saschabaer]

Having looked through the paper cited in the wikipedia article on Bellman’s lost in a forest problem, it appears that the case of the triangle is actually solved. Like, wikipedia says the equilateral triangle case is still open, but the paper they cite presents a solution. (Edit: The wikipedia article has been fixed)

[minxythemerciless]

In orienteering, lost in a forest is a common thing. That is why you are given a safety bearing which is a direction you are to walk to reach a known feature such as a road where rescuers will eventually find you. The only variation is when you are too injured to walk and you sit still and blow your whistle

[spiral]

My toxic trait is believing each question will take me 5 minutes to solve

[eugenesis]

Lmfao.

I was watching this, and i got really confused because i kept rewinding to figure out where the first one started.

Then i realized that my brain literally stops listening when you said "square packing" because i immediately thought it was a square space ad.

[jamesknapp]

The fact we dont know square packing for either 11 or 17 is crazy to me. I was gonna guess 111 when some small number; and watch someone state n = 111 is actually known in the comments

[moth.monster]

My favorite 3D print I've made is a version of the current best 17 square packing as a puzzle. It is deeply unsatisfying and I love it for that.

[phoule]

I like tiling and packing problems, yet I like neither tiling nor packing.

[prydaz]

So you're telling me I gotta move 11 box tomorrow and mathematicians can't even tell me how to arrange them ?! What are we paying them for ?

[Zaspar]

Could you make a video about problems which went unsolved for a very long time, similar to these, but then were solved?

[erettrrrrr]

when you show something interesting, like 1:37 or some equation, i think you should show it for more than a couple seconds.. had to get back and pause the video

[alansmithee]

7:28
This section confused me because you said the upper bound was "improved" (implying "reduced") to a bigger number.
It turns out you had the initial number correct: 0.845
The other two however, you have erred by replacing the 4 with a second 8.
"0.88414" should be 0.84414, and "0.88409" should be 0.84409.
We also have a lower bound on this problem of 0.832, so we have quite a good answer even if it's not perfect/proven.

[petersmythe]

It's kind of interesting that getting to the edge of an equalateral triangle fastest from a random point does not encourage going in a straight line.