Discrete geometry | Packing problems
In geometry, the kissing number of a mathematical space is defined as the greatest number of non-overlapping unit spheres that can be arranged in that space such that they each touch a common unit sphere. For a given sphere packing (arrangement of spheres) in a given space, a kissing number can also be defined for each individual sphere as the number of spheres it touches. For a lattice packing the kissing number is the same for every sphere, but for an arbitrary sphere packing the kissing number may vary from one sphere to another. Other names for kissing number that have been used are Newton number (after the originator of the problem), and contact number. In general, the kissing number problem seeks the maximum possible kissing number for n-dimensional spheres in (n + 1)-dimensional Euclidean space. Ordinary spheres correspond to two-dimensional closed surfaces in three-dimensional space. Finding the kissing number when centers of spheres are confined to a line (the one-dimensional case) or a plane (two-dimensional case) is trivial. Proving a solution to the three-dimensional case, despite being easy to conceptualise and model in the physical world, eluded mathematicians until the mid-20th century. Solutions in higher dimensions are considerably more challenging, and only a handful of cases have been solved exactly. For others investigations have determined upper and lower bounds, but not exact solutions. (Wikipedia).
The scientific study of kissing is "philematology" Follow Michael Stevens: http://www.twitter.com/tweetsauce Sources and links to learn more: Kissing facts: http://www.psychologytoday.com/blog/let-their-words-do-the-talking/201212/odd-facts-about-kissing Longest kiss: http://www.guinness
From playlist Human Behavior
5040 and other Anti-Prime Numbers - Numberphile
Audible: http://www.audible.com/numberphile (free trial) Dr James Grime discusses highly composite numbers. More links & stuff in full description below ↓↓↓ Continues and extra footage: https://youtu.be/PF2GtiApF3E Prime numbers (more videos): http://bit.ly/primevids http://www.antiprim
From playlist Prime Numbers on Numberphile
153 and Narcissistic Numbers - Numberphile
We use 153 as an example of a narcissistic number. Video features Dr Ria Symonds from the University of Nottingham. More links & stuff in full description below ↓↓↓ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tw
From playlist Women in Mathematics - Numberphile
Chinese Lucky Numbers - Numberphile
8 and 6 are lucky but 4 is unlucky... if you're Chinese! More links & stuff in full description below ↓↓↓ Featuring Xiaohui Yuan from the University of Nottingham. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tw
From playlist Women in Mathematics - Numberphile
See our other Graham's Number videos: http://bit.ly/G_Number A number so epic it will collapse your brain into a black hole! Yet Tony Padilla and Matt Parker take the risk of discussing its magnitude. Watch with caution. More links & stuff in full description below ↓↓↓ See also our video
From playlist Matt Parker (standupmaths) on Numberphile
What do 5, 13 and 563 have in common?
We're talking Prime Numbers again... Featuring Dr James Grime. More links & stuff in full description below ↓↓↓ Extra footage: http://youtu.be/AiplrfFB6h0 Our Prime Numbers extravaganza: http://bit.ly/primevids Brown paper: http://bit.ly/brownpapers Liar Numbers: https://www.youtube.com/w
From playlist Numberphile Videos
Favourite Numbers - Numberphile
Everyone's details below in full description. Please leave a comment about YOUR favourite number!!! More links & stuff in full description below ↓↓↓ Thanks YouTube EDU people. This video featured in order: Brady Haran (who makes Numberphile): http://www.bradyharan.com/ Derek Muller chose
From playlist Numberphile Videos
Featuring James Grime... Check out Brilliant (and get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Sphere trilogy: http://bit.ly/Sphere_Trilogy More Dr James Grime on Numberphile: http://bit.ly/grimevideos S
From playlist Sphere Trilogy on Numberphile
Get a free book from Audible: http://www.audible.com/numberphile Why are phone buttons laid out as they are? Sarah Wiseman discusses. More links & stuff in full description below ↓↓↓ Sarah tweets at: https://twitter.com/oopsohno NUMBERPHILE Website: http://www.numberphile.com/ Numberphil
From playlist Women in Mathematics - Numberphile
Stuart Moskowitz - Lewis Carroll Should Have Taught Sixth Grade Math - G4G13 Apr 2018
Quotes from his letters, diarries and pamphlets.
From playlist G4G13 Videos
Hank explores the science behind the first kiss -- and all the kisses that come after it -- and also sets you straight about the vernal equinox, what it is, and why this year's is special! ---------------- Like SciShow? Want to help support us, and also get things to put on your walls, co
From playlist Uploads
Better Know: The Kiss by Gustav Klimt
This kissing couple is one of the best loved paintings in history, but what do we really know about it? Let's learn about its creator (Gustav Klimt), the historical moment it sprang from (turn-of-the-century Austria), and what it means when we look at it today (dubious consent?). Subscrib
From playlist Better Know
Quantum Computer Programming w/ Qiskit
A practical and applied introduction to quantum computer programming, using IBM's free cloud-based quantum machines and Qiskit. Part 2: https://www.youtube.com/watch?v=lB_5pC1MkGg Text-based tutorials and sample code: https://pythonprogramming.net/quantum-computer-programming-tutorial/ I
From playlist Quantum Computer Programming w/ Qiskit
Percy Shelley's 'Love's Philosophy': Mr Bruff Analysis
Buy my revision guides in paperback on Amazon*: Mr Bruff’s Guide to GCSE English Language https://amzn.to/2GvPrTV Mr Bruff’s Guide to GCSE English Literature https://amzn.to/2POt3V7 AQA English Language Paper 1 Practice Papers https://amzn.to/2XJR4lD Mr Bruff’s Guide to ‘Macbeth’ htt
From playlist AQA 'Love and Relationships' Poetry
Why there are no perfect maps (and why we eat pizza the way we do)
Have you ever wondered why you've never seen a perfect map? Or why bending the side of your pizza keeps the toppings from falling off? Surprisingly, these two everyday phenomena can be explained by one abstract mathematical theorem: Gauss' amazing Theorema Egregium. This video is a submi
From playlist Summer of Math Exposition 2 videos
Is Kirchhoff's Loop Rule for the Birds?
Is Kirchhoff's Loop Rule for the Birds?
From playlist Short Videos
Love Prime Numbers - Numberphile
Some extra footage from our James Maynard interview. More Maynard videos: http://bit.ly/JamesMaynard Prime Playlist: http://bit.ly/primevids NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.co
From playlist James Maynard on Numberphile
48: The strange case of the erotic kiss - Richard Buckland UNSW
note: The Strange Case of the Erotic Kiss is at 56:30 This lecture is the last hour of the last lecture of COMP1917 - the higher stream of the first computing course of the School of Computer Science and Engineering at UNSW. We discussed the structure of the final exam. (Richard has
From playlist CS1: Higher Computing - Richard Buckland UNSW
The man who loved circles (Objectivity): https://youtu.be/AzmUCL1OHhs More links & stuff in full description below ↓↓↓ Pappus chains, circle inversion and a whole lot more in this EPIC video with Simon Pampena. Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Websit
From playlist Numberphile Videos
PBS Member Stations rely on viewers like you. To support your local station, go to: http://to.pbs.org/DonateOKAY ↓ More info and sources below ↓ Pucker up. I'm gonna lay some science on you! When you really think about it, kissing is an odd human behavior. You know, all the rubbing of ou
From playlist Be Smart - LATEST EPISODES!