Riding a train until I understand hyperspheres
2024 ж. 20 Мам.
71 335 Рет қаралды
All aboard the learning train with Brilliant: brilliant.org/Tibees/
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The book featured is Surfing Through Hyperspace by Clifford Pickover: amzn.to/49yVFuG
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Editing by Noor Hanania
*Tibees goes to stay on ISS until she comes up with grand unification theory! 🚀🌎
yaya! 🎉
I was thinking a space shuttle or the moon for the next one but this works too.
That's a very elaborate assassination plot.
She actually travelled more than 4 times the distance to the ISS!
I vote for that!😊
I looove this new "stuck until I learn" format
yes, its funny because it reminds of mister beast
@@geckogaming3658 yeah, but without all the hyperactivity and childlike behaviour of his friends
@@theelephantintheroom69and infinitely more exciting
It sounds very familiar to me. I call it "grad school"
@@me0101001000 lmaooo
imagine waiting in line to the toilet and hearing from the closed door "There's one very specific problem from the book that I want to solve on this trip and that is to compute the hypervolume of a fractal hypersphere, of dimension 4.5" :)
😂😂😂😂😂😂😂❤😂
Well, everyone has their best thoughts in the bathroom.
😂😂😂
Instructions unclear, I have been on this train for four years, and still can't comprehend it.
I feel like this is how snowpiercer started....
the fact that the video was uploaded 1 hour before this comment and assuming you are not lying, you have actually ascended to the 4th dimension and are now able to move in time according to your will. CONGRATS🥳🎉🎊
@@psikoexeAlternatively they have been trapped for 4 years and thought they found a video to finally solve their problem
@@lucidnode Well given the format, it is the popular comment "Instructions unclear..." format which is used in the context that the video they watched caused them to face the wrath of severe bad consequences. Even though, literally taken, without context, this could've very well been a real possibility, using the context clues, it is more likely to be representing his ability to "time travel"(sci-fi time travel which usually involves being able to stay at one point in time or go back in time along with going forward in time at your own will) without him being conscious of any such ability.
@@psikoexeWe're all travelling through time 😂
I'm not an actor but I get pleasure watching actors. I'm not a footballer but I get pleasure watching football. I'm not a mathematician , but I get pleasure in watching clever people do maths and Toby's approach is unique and compelling. Another great video, thank you for creating it.
can i ask, who are you then? I mean professionally
@@ChandravijayAgrawal he is just giving her a compliment about what she is doing...
@@ChandravijayAgrawal I'm retired.
@@TheMarkEH nice to know, thanks
@@Priyanshujain4u I got that, I think you misunderstood
This video feels like a very comfortable sofa.
Toby is the coolest person I don't know.
She's extraordinary ❤.
Then how do you know?
@@justincase4812 You're right. Maybe you're the coolest person I don't know! There's so many possibilites! :D
@@justincase4812because she’s not the hottest I suppose 😂
good grief.
Could listen to her voice and talking about the fabric of reality all day and night long. so relaxing
0:48 train of thought, what a coincidence
Also mention of a single train in a single track
This was exactly what I wanted: the 4D shorts to become a full video
Australia definitely needs more railways and more trains.
Canada too.. I would def ride the train if it wasnt SO freacking expensive
@@timmy69690 a transcontinental passenger train would be incredible.
Next Video - Trapped on Earth until I learn how to escape but seriously, great video, the idea of learning random things because they sound cool is great
Math & Imagination breaks the boundaries of dimensions, the boundaries that we cannot break as a 3D being are already broken.
I like this comment more than this video.
Seems like your comment brought you some more visits😅
💯 agree
root(2/pi) makes me think of 2 things, in particular. The first is the fourier transform and the second is the Gaussian distribution.
Toby's Next Video: *Flying in a plane until I understand the Universe*
Plain or Plane? I had to ask.
It’s a flying train
voyaging in a rocket until I ascend to godhood
@@vincei4252 uhhhh.... Wdym plain?? Jokes aside I didn't realise it Thnks bud
@@anthonyp1126yeaaahhh ofc I was definitely talking about that
Very glad to hear it is not just me struggling with The Three Body Problem 😊
"The train had to wait for an hour for the northbound train...". Being a mathematician from the Netherlands, I find this harder to comprehend than a hypersphere.
I'm loving this miniseries you have going here. If you don't mind, more of this would be great. This is such a wild but apt way to understand science. If I wasn't already a huge fan of it, I would've wanted something like this to understand science back in the day. I'm glad you got to read Three-Body Problem, one of my favourite science fiction novels. It inspired me to write my own science fiction novel with a similar premise, but it heavily evolved into something I'm quite proud of. Almost all your videos remind me of it in some way. I should probably go back and write more.
I really enjoy your Art. I have been working on a problem/ I looked up one day and wondered if it would be possible to be on a moon that orbit a planet so large that a person’s field of vision (horizon) would only see the planets surface which the moon orbits. Imagine if the sky was replaced with the surface of Jupiter. 🕊️
Oh "Train of thought" would have been a great title for this video. :)
I have travelled this route a few times. Nice to see the landscapes again as a backing to your voice. I really liked going over the rivers as the landscape changes dramatically around them.
I'm a big fan of both physical and mental explorations, so this video is mesmerizing in a weirdly relatable way for me. I found your channel from a comment you left on another video 7 years ago about being an aspiring physics youtuber and I wondered if the aspiration was still going strong--which it clearly is! So cool to find such neat and recent content at the end of that search. I'm glad you're still having fun making these informative videos, keep it up!!
imagine for example going through a wormhole, as you approach it, you look around, you see the familiar 3d world, as you approach the point of least radius, where light orbits its, you will see the inside and the outside covers exactly half and half of your visual field, as you go further in, the interior fills more and more of your visual field until it fills just as much of it as your familiar 3d world you entered from. try to imagine such things first. then try to go beyond.
You are so good. The video editing was amazing.
Love the video! Thank you. Your stop at Tully (7:10) reminded me of a joke my brother told me long ago. He was rushing home for Christmas from Cornell University, and he passed through Tully, NY. He told me he just had to stop somewhere in Tully to pick up a souvenir, a "Tullyphone" book. Australia is so beautiful!
Loving this long form content that takes a deeper dive into some of these topics! Its also giving the message that learning can be done anywhere
I love these videos where you have to figure it out before you get to continue. Love your content!
Thanks for this wonderful train trip. Looking forward to more. Hope your mogs aren't too lonely without you. Hugs
Thank you, Toby 💞
Hello Tibees! Gamma function has a recursive property that allows us to calculate gamma of factions. I believe it's gamma(x+1)=x * gamma(x). If you do this on your example, you will get to something that involves gamma(0.25). From this, there are some useful properties I forgot
If one accepts the arithmetic-geometric mean as a 'standard' function (like sin, cos, ln, exp, etc are), then gamma(1/4) has the 'simple' expression = sqrt[((2*pi)^3/2)/AGM(1,sqrt(2)))]; note, the target here, gamma(4.25) = gamma(1/4)*13!!!!/256.
You're such a nice person, I could hear you talking in your calm voice for hours, also i can follow the hole time your expressions, thats amazing Thx😊
Thank you, Toby! ❤👸
Wow this travel documentation is something special. To go on a journey together with you and your thoughts is intriguing. I bow to your idea of this train of thought.
This was fascinating! Extremely well done!
Love your contents as always
I learned to sing and play the guitar during a bicycle trip in Tassie, New Zealand, South America, Spain, visited libraries to work on a new philosophically derived universal language, learned biochemistry in a treehut near Byron Bay and a cosy wooden house in a secluded valley in New Zealand, and just philosophy, programming, inventions, physics theories, math, GPU programming in smaller episodes. Now I have a bungalow close to nature in the Netherlands. It's a great life, interesting to see this in someone else :) Thank you for sharing, good luck and enjoy!
What does a "philosophically derived universal language" entail?
@@INFILTR8US Consumption of psychedelics from the sounds of it.
Thank you for sharing this journey
It's been years since I've read the Rucker, and Pickover books. I never tried to do the exercises in the Pickover book which were a bit daunting after being out of university for so long. Now I'm inspired to re-read, and twist my brain into higher dimensions again!
Absolute perfection, I could listen endlessly
Good to see you Toby! ☺️
Think of a jawbreaker, each layer has no gap in between it because it is like a varnish, each layer is like a varnish.
Please do more of these types of videos, they're really delightful :)
The 2nd book, "The Dark Forest", is asking us "How to visualize the 4th dimension?" from a human perspective. More closely related to what we are trying to learn in this video.
Bernouli seen the function of a train and seen the equatorial into geers which is how he developed the computer by image
Watching this again, I am reminded of 'Stanboul train' a novel by graham Greene. Your work ethic seems tough with you working in bed, seated and standing during the day. From your videos your preferred relaxation is really energetic ! Glad you had a good trip. Really attractive ! thank you for having us along for the ride !
Omg your videos are brilliant ❤ a gem
Page 178 "Advanced Engineering" Mathematics for second year students in all parts of the World looks at the Gamma function and in a given example says Tables are usually given for this function. A problem given is to find the length of the lemniscate = cos 2(Theta).
Loving the recent inspired videos
this video format is awesome
I am happy to see that you popped up on my feed. Are you better now. I have been looking forward to your return.
- Nice video Professor Rapunzel🧝♀ ... i mean Professor Tibees... - I always liked your interest in higher dimensions... 4:29 - It's very interesting to think that a ball can take up a tiny space inside a higher dimensional box ... and still be touching all the sides of it... like it's small but very big at the same time... 21:25 - looks like you enjoyed your train ride ... except for the part where you struggled not to get thrown around the room, right? 😎 ... 19:38
Stressful way to film, congratulations for the result! 👍
Enjoyed this video. The parts without the mathematics reminded me of travelling on a Train in the Andes in south America, falling asleep next to a woman I didn't know who was working away on her laptop, I am able to understand your preference for your single seat with bed conversion Toby. Martin Gardner published articles on Hyper spheres and I think they are outside spatial reality in the same way Engineering equations used in analysis are not restricted in the number of interconnected inputs( 'dimensions'). Pressure, time, energy, size, temperature, friction, force, mass ......
Like, the symbolism?! Half-factorials, gamma functions, hyper volumes and fractal hyperspheres. The concept of the volume malleability with regards to hyperspheres and hypercubes is amazing.
You’re living the dream! Just understanding and mastering a subject for its own sake is what I want to do
Great idea. Good job! Thanks!
Fantastic video and some AWESOME socks at 21:21 😉
Thanks!
I am loving these challenges ❤❤❤❤
I really enjoy this format. I like the peace. I like taking a break to hear about suger farms and look at deer. I only wish it were longer.
Holy moly, she got serious again!
My dad told me that a physics professor of his at the University of Rome (and associate of Enrico Fermi's) would think about Maxwell's Equations every time he rode on a train and would never get bored. Now you look crazy if you're not looking at your phone.
Cool to see you went through Bundaberg! I hope you liked it here even if you didn't stay for long
🙏 ty for helping me relax
Ralph Waldo Emerson creates interesting thoughts whilst thinking about our shared nature. Just a shy suggestion. Trains to new thoughts...and questions. Loved the landscapes!
Tully is the wettest place in Australia 🇦🇺.
Landed in Cairns almost a decade ago, great memories, even if I do not recall thinking about 3-spheres
i wish i had something more intelligent to comment about the content of this video, but i am just very impressed that you go out of your way to understand and investigate these complex mathematics topics. like i know you have an honours degree and started a phd, but i have never met someone who studied math like you, and as someone who actively avoided pure math and failed physics throughout my whole schooling, you make this incredibly approachable. science communicator pro!!!
I don't understand any of this. Yet... Hearing her soft voice, seeing her beauty and intellect is just mesmerising.
You are a delight! Thank you for sharing. Authenticity is perhaps the most precious treasure of modern life.
The Three-Body Problem is in my top 3 sci-fi books for sure! What a great companion book for this journey too!
This is my new favorite ASMR channel 😊
in 15:45 the graphic showed that the (1/2)! = sqrt(pi) thats actuallly slightly wrong, the factorial of a half is HALF the square root of pi
Hello Toby, I'm a big fan all the way from Kenya, always excited to see your content... I might not be as learned as you but I also have a huge obsession about extra-dimensions and their relationships to our 3d reality. 😅😅 I believe this should be a frontier fundamental topic taken seriously in the scientific community since it has a lot yet to be understood and applied properly. Nway, my observation from my very limited knowledge on dimensions is... If 1d has length, L¹ (e.g. 5cm) to describe total spacial magnitude covered over straight line. 2d has area L², (e.g. 25cm²) measuring total spacial magnitude occupied with perimeter 4L¹, (20cm) to describe the boundary encircling the spacial area. 3d has volume L³, (125cm³) to describe the total of spacial magnitude occupied plus has a surface area 6L² (150cm²) to describe the area of boundary surrounding it... This therefore means 4d beings have L⁴, (625cm⁴) to calculate total spacial magnitude occupied with a 3d volumetric space boundary, L³ around it. Volumetric surface boundary of a 4d hypercube = (L³) * the 8 3d cells in tesaract/hypercube= 8L³. (1000cm³)... 🤯🤯🤯 In summary, Dimensional space boundaries: Perimeter of a square, 2d = 4L¹ Surface area of a cube, 3d =6L².... Volumetric surface of a hypercube, 4d = 8L³ 4L¹, 6L², 8L³.... interesting sequence for higher dimensional surfaces/boundaries... My question is... can we 3d beings even try to imagine or recreate what volumetric surface boundary of 4d hyperobject/beings would look like? Coz my brain can't fathom that.
Fascinating video! I hope the algorithm suggests this to every kind of person imaginable
Loved all the train terminology subtly being used
This is so soothing
Loved this on Nebula ❤
Nice topic and very cool train journey! Hyper-spheres are cool: note that the volumes of all even-dimensional unit hyper-balls sum up to e^pi :)
14:40 Australia is really beautiful. Hope I can go there some day
I live here! 😅
three body problem hell yeah
Wonderful concept.
I like this new style of videos where there is a second theme beside the maths!
I love the Three body program!
Yes tebee u answered the question
Your voice brings me immediate calm.
Its 2AM in Norway and im watching the snow fall as i get lost in Tibees voice talking about things that are way above what im capable of comprehending.... But its so facsinating.
Thank you Tibees! This one of the most enthralling videos exploring fractal dimensions. I am not too good in the subject, but when you mentioned the Gamma function, it sounded like it is an interpretation of what intermediate factorial values are. Is this the case? Is it just one kind of interpolation for factorials? If it is interpretative, why is it used in something non-interpretative, like determining the area of a fractal dimension?
love it!
Love tibees❤️❤️❤️
Next video: Riding a "short horse" until i understand Schrödinger's Cat experiment.
Tibees was an unexpected contender for my new favorite railway KZheadr.
Next video: "Travelling through space until I fully understand the universe."
Tibees, you have a very clear pronounciation and a pleasant voice. Listening to mathematical and scientific topics becomes interesting and relaxing at the same time. So maybe you can earn some money with audiobooks in the future.
It would take me a lot of time and effort to explain the peace and enthusiasm I feel with these format of sciency-vloggy-introspective videos.
sqrt(2/pi) also happens to be the average distance from the mean of a normal distribution with variance 1. A great way to find random facts about numbers is by looking up the sequence of digits in the Online Encyclopedia of Integer Sequences - this one is sequence A076668
So basically what you can say is when a photons traveling as a wave and a particle when it gets to the observation of whatever type of camera observes it.... The charge from the camera condenses the photon in the front of the wave until it pulls in the back of the wave and then it can pack in to a particle because it has extra energy inside of the photon compacting on the inside adding to its pull.... Or you could say.... The front of the photon wave does become more condensed but then the back of the wave gets pulled into the front of the wave pushing out the extra energy or charge from the camera and the photon becomes just condensed enough to be repelled from the field that was created by the observation
Tibees, you make me jealous. You seem to have too much fun with these "until I learn it" series, I wish I could visit the Land of Oz to have fun like you do. Keep up the great work. Your videos are the highlight of my retirement.
Awesome, awesome!
I would ride this train forever.