Understanding 4D The Tesseract Leios Labs 2016-11-19 | So this has boggled my mind for a while: How, exactly, do you rotate in 4 dimensions? Well, this video *should* answer that. Hopefully. As always, if you have any questions, comments, or concerns, let me know in the comment section below!The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsMy second youtube channel (where I put the streams):youtube.com/channel/UCFf6Ag4GdpEjnEy8M8MB3fg/featuredor Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/blob/master/visualization/fourth_dimension/fourth_dimension.py(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
Introduction to kernel (GPU) programming in Julia with an NBody simulation Leios Labs 2024-04-19 | This is a lecture I did recently at MIT. I was a little low energy, but thought the lecture turned out reasonably well and certainly had information that is hard to find elsewhere.I edited it to remove faces and names (except Valentin, who is a core developer of the Julia language and a personal friend of mine).Final code here: github.com/leios/simuleios/blob/master/nbody/nbody.jl00:00 Introduction01:25 GPUs in Julia11:52 Nbody intro15:55 NBody implementation51:15 CPU parallelization57:45 KernelAbstractions start1:20:27 CPU GPU profiling1:23:17 Discussion
Lets talk Leios Labs 2021-11-03 | Trying out a youtube livestream. Will probably talk about the future of LeiosLabs
My Carry-on Computer Leios Labs 2021-07-13 | Patreon: patreon.com/leiososGithub sponsors (Patreon for code): github.com/sponsors/leiosTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.comWall of thanks (patreon supporters):Mossy FogartyValentin ChuravyJérémieMutual InformationAhmed HeshamReza Salari
Barnsley ferns, but actually explaining each function Leios Labs 2021-05-13 | algorithm-archive.org/contents/barnsley/barnsley.htmlPatreon: patreon.com/leiososGithub sponsors (Patreon for code): github.com/sponsors/leiosTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.comWall of thanks (patreon supporters):Mossy FogartyValentin ChuravyJérémieMutual InformationAhmed Hesham
I coded a workout Leios Labs 2021-04-08 | Patreon: patreon.com/leiososGithub sponsors (Patreon for code): github.com/sponsors/leiosTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.comWall of thanks (patreon supporters):Mossy FogartyValentin ChuravyMutual Information
Christianitys most important algorithm Leios Labs 2021-03-21 | Algorithm Archive: algorithm-archive.org/contents/computus/computus.htmlGithub sponsors (Patreon for code): github.com/sponsors/leiosPatreon: patreon.com/leiososTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.comWall of thanks (patreon supporters):Mossy FogartyMutual Information
What are affine transformations? Leios Labs 2021-03-02 | Algorithm Archive: algorithm-archive.org/contents/affine_transformations/affine_transformations.htmlGithub sponsors (Patreon for code): github.com/sponsors/leiosPatreon: patreon.com/leiososTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.com
How does flood fill work? Leios Labs 2020-08-02 | Algorithm Archive: algorithm-archive.org/contents/flood_fill/flood_fill.htmlSource code: In chapterGithub sponsors (Patreon for code): github.com/sponsors/leiosTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.com
The Problem with Research Software Engineering Leios Labs 2020-07-11 | A discussion about how to make research software engineering a bit better!Github sponsors (Patreon for code): github.com/sponsors/leiosTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosBibliography[1] joss.theoj.org/papers/10.21105/joss.01037[2] journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.4.054701
How to color complex functions [Domain Coloring] Leios Labs 2020-06-27 | Algorithm Archive: algorithm-archive.org/contents/domain_coloring/domain_coloring.htmlSource code: In chapterGithub sponsors (Patreon for code): github.com/sponsors/leiosTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.com
How to make fractals by counting Leios Labs 2020-06-20 | Algorithm Archive: algorithm-archive.orgSource code: github.com/leios/simuleios/blob/master/fractal/sierpinski.cppGithub sponsors (Patreon for code): github.com/sponsors/leiosTwitch: twitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosMusic: joshwoodward.com
Iterated Function Systems Leios Labs 2020-05-19 | Algorithm Archive: algorithm-archive.org/contents/IFS/IFS.htmlSource code: github.com/leios/simuleios/blob/master/fractal/sierpinski.cppGithub sponsors (Patreon for code): github.com/sponsors/leiosTwitch: itwitch.tv/leioslabsDiscord: discord.gg/QctJhUAGithub: github.com/leiosI know everyone has done videos on a similar topic before, but it is usually through the perspective of chaos games, which is really cool, but not intuitive. I am hoping this project gives some intuition as to why a chaos game works.
Gaussian Elimination Leios Labs 2018-12-15 | Algorithm Archive chapter: algorithm-archive.org/contents/gaussian_elimination/gaussian_elimination.htmlI thought this was a cool visualization to show you guys.Examples of Gaussian Elimination:- https://math.dartmouth.edu/archive/m23s06/public_html/handouts/row_reduction_examples.pdf- youtube.com/watch?v=2GKESu5atVQ- youtube.com/watch?v=jOC4fMgl7TITwitch: twitch.tv/leioslabsTwitter: twitter.com/LeiosOSDiscord: discord.gg/QctJhUAINTERNSHIP INFO:Unfortunately, the deadline has passed. I'll let you guys know about future opportunities, though!All music was from Josh Woodward: joshwoodward.com
Simulating Quantum Systems [Split Operator Method] Leios Labs 2018-08-05 | More information here: algorithm-archive.org/contents/split-operator_method/split-operator_method.htmlIf you want to contribute, here's the github repo: github.com/algorithm-archivists/algorithm-archiveThe music came from Josh Woodward:joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsor Github:github.com/leiosAlso, discord:discord.gg/Pr2E9S6
Verlet Integration Leios Labs 2017-09-02 | Here's a video describing a simple method to solve Newton's equations of motion. More info can be found here: algorithm-archive.org/chapters/physics_solvers/verlet/verlet.htmlIf you want to contribute, here's the github repo: github.com/algorithm-archivists/algorithm-archiveThe music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsor Github:github.com/leiosAlso, discord:discord.gg/Pr2E9S6Also: Special thanks to butt4cak3 for the thumbnail!
Arcane Algorithm Archive Introduction Leios Labs 2017-09-02 | I'm starting a new project, and I hope you guys find it useful! It's called the arcane algorithm archive and is an archive to all the arcane algorithms we cover: algorithm-archive.orgIf you want to contribute, here's the github repo: github.com/algorithm-archivists/algorithm-archiveThe music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsor Github:github.com/leiosAlso, discord:discord.gg/Pr2E9S6
How algorithms evolve (Genetic Algorithms) Leios Labs 2017-02-22 | So, here's the deal: this video was made in collaboration with a bunch of other cool content creators who all wanted to talk about evolution. Check out their work here:youtube.com/watch?v=ehuEaLvA1B4&list=PLnQX-jgAF5pQVXOaTu7BSB6AMjtbnS3b_Outside of that, thanks so much for watching / let me know what you think! I honestly feel that the chalkboard segments might be a little rushed near the end there. I just got a new tablet, so I could start using that for the animations instead of the blackboard, but I'm interested in your opinions!The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsor Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/blob/master/GA/salesman.cpp(sorry it's so messy).or Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/blob/master/GA/salesman.cpp(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
Code Night: Drawing a Heart Leios Labs 2017-02-09 | Alright. You know all those times you wanted parametric equations for a heart but didn't know where to go or who to ask? Well, you are in luck! We're coding that up today!This video was part of a collaboration whose hub video (quiz) can be found here:youtube.com/watch?v=mbX-y8QSyg4Anyway, thanks so much for watching and I'll see you next time!The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsMy second youtube channel (where I put the streams):https://www.youtube.com/channel/UCFf6...or Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/tree/master/heart(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
Euclids Amazing Orchard Leios Labs 2017-01-28 | Guys, this is amazing! Let me know if you agree in the comment section!Seriously, though. Euclid's Orchard somehow snuck up on me while browsing wikipedia and I fell in love with the concept! I hope you can see why.Anyway, thanks so much for watching and I'll see you next time!The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsMy second youtube channel (where I put the streams):https://www.youtube.com/channel/UCFf6...or Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/blob/master/euclid/euclid.cpp(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
WorstSort: the WORST sorting algorithm Leios Labs 2016-12-30 | What was the worst event in 2016? goo.gl/forms/yJMOYvsVPlLt29nk2So this was a good bit of fun to program. It is essentially a platter of all the worst sorting algorithms imaginable, starting with bubble sort and bogosort and moving onto one that is downright silly: worstsort.I hope all the descriptions made sense. If you have trouble understanding anything, let me know and I'll try to explain it in the comment section.Anyway, thanks again for popping in and watching / I'll see you next time!The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsMy second youtube channel (where I put the streams):https://www.youtube.com/channel/UCFf6...or Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/tree/master/worstsort(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
Gift Wrapping Algorithm (Convex Hull) Leios Labs 2016-12-18 | Seeing as how Christmas is around the corner, I thought you guys might enjoy a quick video on how to wrap a rather intangible gift: a random distribution of points.This was actually an incredibly fun code to write / I love Chan's algorithm. It's one of the most beautifully simple yet clever ideas I have seen in a while. Of course, I say that about every algorithm, so who knows when I'm telling the truth!Anyway, thanks again for popping in and watching / I'll see you next time!The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsMy second youtube channel (where I put the streams):https://www.youtube.com/channel/UCFf6...or Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/tree/master/gift_wrapping(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
Socially awkward simulation: Learning to dance with Steve, the Kuramoto oscillator! Leios Labs 2016-10-22 | DISCLAIMER: Steve Knot is not related in any way to any Steve I know. I just chose Steve because it was a generic name to go with. Any generic name would have done, I swear!This was a fun simulation to learn about Kuramoto oscillators, which will definitely be used again on this channel in the future. Let me know if you like this style of video. I kinda liked the fact that it told a story, but it's up to you guys. If you don't like it, you don't like it, so let me know in the comment section below!The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsMy second youtube channel (where I put the streams):youtube.com/channel/UCFf6Ag4GdpEjnEy8M8MB3fg/featuredor Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/tree/master/color_quantization(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
Color Quantization Leios Labs 2016-10-03 | Quick video about a cool octree application: Color Quantization!DISCLAIMER:There are many different algorithms to perform color quantization. I thought this one was pretty cool, so I made a video about it. That said, this implementation is not necessarily the fastest or the only way to do the quantization. Also: Sorry for taking so long with this video. It takes a while to make things, but real life got in the way this time. Next video will use octrees, so I needed a simple application to explain them.The music came from Josh Woodward (sped up 1.5 times):joshwoodward.comPlease feel free to follow me on Twitter: twitter.com/LeiosOSTwitch (where I do all the simulations):twitch.tv/leioslabsMy second youtube channel (where I put the streams):youtube.com/channel/UCFf6Ag4GdpEjnEy8M8MB3fg/featuredor Github:github.com/leiosThe code I used is available here:github.com/leios/simuleios/tree/master/color_quantization(sorry it's so messy)Also, discord:discord.gg/Pr2E9S6
Impossible lenses Leios Labs 2016-08-28 | We have been working on a geometrical optics visualizer on twitch.tv/simuleios . I figured it was about time to show you some cool lenses!If you have fool ideas for functions to try, put them in the comments below!As always, the code is available on github.com: github.com/leios/simuleios/tree/master/geometrical_opticsAnd all the streams are on: twitch.tv/leioslabsandyoutube.com/channel/UCFf6Ag4GdpEjnEy8M8MB3fgThe background music is from Josh Woodward (sped up 1.5 times): joshwoodward.comOh, and here's a link to my twitter:twitter.comINVISIBLE LENS:Almost all of my invisible lens information came from the following paper:http://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.053829iopscience.iop.org/article/10.1088/1367-2630/13/8/083007Also, discord:discord.gg/Pr2E9S6
What is a determinant? Leios Labs 2016-07-23 | How do we interpret the determinant intuitively? Well, here is one way! This video was requested by Thecalculatorman on reddit!A few quick notes: * There are limitations to this way of thinking about the determinant, but for the most part it's solid for 3 and 2D objects. * Finding the area of the transformed unit cube is the same as finding the area of the parallelpiped, just a little easier to explain. In hindsight, I should have added this definition too.* There is a lot I skipped over, like how to perform the determinant. That wasn't the point of this video. I wanted to give people an intuitive feel for what the determinant was doing underneath.As always, the simulations were done live on:twitch.tv/leioslabsyoutube.com/channel/UCFf6Ag4GdpEjnEy8M8MB3fgFeel free to follow me on Twitter!twitter.comAnd the music is from Josh Woodward (sped up 1.5 times):joshwoodward.comThanks for watching!Also, discord:discord.gg/Pr2E9S6
What is Monte Carlo? Leios Labs 2016-07-10 | Here's a video describing programming magic: Monte Carlo integration!It's a super cool algorithm that is used all the time (in physics at least), so it was good to cover it here. We'll have more algorithms coming up, so be sure to check them out as they come along!Information on the Batman Curve:http://mathworld.wolfram.com/BatmanCurve.htmlhttp://math.stackexchange.com/questions/54506/is-this-batman-equation-for-realI also did a small write-up on integrating the Batman Curve:http://leios.github.io/Batman_MontecarloAs always, the simulations were done live on:twitch.tv/leioslabsyoutube.com/channel/UCFf6Ag4GdpEjnEy8M8MB3fgFeel free to follow me on Twitter!twitter.comThe code is available here:github.com/leios/simuleios/blob/master/visualization/monte_carlo/monte_carlo_vis.cppAnd the music is from Josh Woodward (sped up 1.5 times):joshwoodward.comThanks for watching!Also, discord:discord.gg/Pr2E9S6
What is an Eigenvector? Leios Labs 2016-06-26 | Hey guys, this is a quick introductory video to what an eigenvector is and how it relates to eigenvalues. It'll be used a lot later on, so it's good to know!Outside of that, I'm going to *try* to be way more consistent with my video uploads. It's been forever since my last one and there are reasons for that, but they are not worth mentioning here. All of the simulations done on this channel can be seen live on:twitch.tv/leioslabsOr after the fact on:youtube.com/channel/UCFf6Ag4GdpEjnEy8M8MB3fgWhich is my second channel for streams and stuff. I've got a bit of a backlog of videos to make, so hopefully everything goes smoothly from here on out!I am now way more active on twitter, too, so feel free to follow me there (no pressure): twitter.com/LeiosOSOutside of that, the background music is from Josh Woodward (sped up 1.5 times). He's a super cool guy, so go check out his stuff, if you can:joshwoodward.comI think that's all for now, so have a great day, night, afternoon, morning... whatever time it happens to be your time and I'll see you next time!NOTE: In the visualization of eigenvectors, I plotted only vectors that passed through the origin on (0,0,0), this does not need to be the case! So long as the points are in the right direction, you will have the right vector and you will see only stretching!Also, discord:discord.gg/Pr2E9S6
