In mathematics, the Steinberg triality groups of type 3D4 form a family of Steinberg or twisted Chevalley groups. They are quasi-split forms of D4, depending on a cubic Galois extension of fields K ⊂ L, and using the triality automorphism of the Dynkin diagram D4. Unfortunately the notation for the group is not standardized, as some authors write it as 3D4(K) (thinking of 3D4 as an algebraic group taking values in K) and some as 3D4(L) (thinking of the group as a subgroup of D4(L) fixed by an outer automorphism of order 3). The group 3D4 is very similar to an orthogonal or spin group in dimension 8. Over finite fields these groups form one of the 18 infinite families of finite simple groups, and were introduced by . They were independently discovered by Jacques Tits in and . (Wikipedia).
What is the 4th Dimension REALLY? - 4D Golf Devlog #2
A more practical explanation for those interested in exploring 4D spaces. For those not already familiar with basic 4D concepts, here's some videos I can recommend: "Visualizing 4D Geometry" https://www.youtube.com/watch?v=4URVJ3D8e8k "The things you'll find in higher dimensions" https:/
From playlist 4D Golf
Link: https://www.geogebra.org/m/D4hmNy9M
From playlist 3D: Dynamic Interactives!
Graph of x^2 + 6xb + 5b^2 as b varies
From playlist 3d graphs
If you are interested in learning more about this topic, please visit http://www.gcflearnfree.org/ to view the entire tutorial on our website. It includes instructional text, informational graphics, examples, and even interactives for you to practice and apply what you've learned.
From playlist 3D Printing
4th dimension 'n stuff -- Day 5
alright, 4th dimension visualized! -- Watch live at https://www.twitch.tv/simuleios
From playlist 4d visualization
Rectangular Prism Diagonal: Hint
Link: https://www.geogebra.org/m/NNUNEtR8
From playlist 3D: Dynamic Interactives!
Quantum Numbers - n, l, ml, ms & SPDF Orbitals
This chemistry video tutorial provides a basic introduction into quantum numbers n l ml & ms. It explains the basic idea behind the s p d f orbitals. It also discusses electron configuration and drawing orbital diagrams as well. My Website: https://www.video-tutor.net Patreon Donations
From playlist New AP & General Chemistry Video Playlist
Graph of x^2 + 6xy + 5y^2 rotating
From playlist 3d graphs
Electron Configuration - Quick Review!
This chemistry video tutorial explains how to write the ground state electron configuration of an atom / element or ion using noble gas notation and how to fill the orbital diagrams. It contains examples and practice problems that include ions, transition metals, and a few exceptions. Ch
From playlist New AP & General Chemistry Video Playlist
From playlist 3d graphs
4th dimension 'n stuff -- Day 1
alright, trying to visualize 4d. We'll see how this goes! -- Watch live at https://www.twitch.tv/simuleios
From playlist 4d visualization
Add me on Facebook http://www.facebook.com/brusspup brusspup t-shirts! http://brusspup.spreadshirt.com/ This is such a simple trick and very effective. Download the music in this video: http://itunes.apple.com/us/album/end-of-spirit/id396341604?i=396341627&ign-mpt=uo%3D4 End of Spirit
From playlist Cool Science Tricks
Got bored and made this. The video is part tutorial and part entertainment. It's really pretty easy to do ..just takes about 3 hours. Download the music in this video: http://itunes.apple.com/us/album/end-of-spirit/id396341604?i=396341627&ign-mpt=uo%3D4 Dark Cube
From playlist How to videos!
Super simple with cool results. Perfect for valentines day! Download the template: http://img33.imageshack.us/img33/9317/flowersk.jpg Download the music in this video: http://itunes.apple.com/us/album/end-of-spirit/id396341604?i=396341627&ign-mpt=uo%3D4 Water crash
From playlist Cool Science Tricks
Using simple science create a cloud in a bottle then make it disappear. Very easy to perform. It's really fun to do. You definitely should try this one! Download the music in this video: http://itunes.apple.com/us/album/end-of-spirit/id396341604?i=396341627&ign-mpt=uo%3D4 Light and
From playlist Cool Science Tricks
Add me on Facebook http://www.facebook.com/brusspup brusspup t-shirts! http://brusspup.spreadshirt.com/ Using a few simple items and a little science, create a cool perpetual spinner. Download the music in this video: http://itunes.apple.com/us/album/end-of-spirit/id396341604?i=39634162
From playlist Cool Science Tricks
Amazing Animated Optical Illusions!
Add me on Facebook http://www.facebook.com/brusspup brusspup t-shirts! http://brusspup.spreadshirt.com/ Based on the book, Magic Moving Images, These are some designs that I created. Download the music in this video: http://itunes.apple.com/us/album/end-of-spirit/id396341604?i=396341627
From playlist Amazing Illusions!
Add me on Facebook http://www.facebook.com/brusspup brusspup t-shirts! http://brusspup.spreadshirt.com/ This is a really easy and cool trick to do. Watch toward the end and the candle will spin all the way around. Download the music in this video: http://itunes.apple.com/us/album/end-of
From playlist Cool Science Tricks
Link: https://www.geogebra.org/m/hWD7GPGB
From playlist 3D: Dynamic Interactives!
Amazing Animated Optical Illusions!
brusspup t-shirts! http://brusspup.spreadshirt.com/ Like me on Facebook: http://www.facebook.com/pages/Brusspup/158773774166995 Another series of animated optical illusions. I created all of these from scratch using photoshop. One of the simplest yet amazing illusions. The def
From playlist Amazing Illusions!