Introduction to the 4th dimension, where we visualize a tesseract (in the family of hypercubes) by building from 0D to 1D, 2D, 3D, & 4D. Many fourth dimensional illustrations are utilized for visual learners. We also share examples from Flatland, how a 2D object views 3D shapes.
🚩https://www.patreon.com/carlosfarias
1D, we have 2 0D points
2D, we have 4 1D lines
3D, we have 6 2D squares
4D, we have 8 3D cubes
0:00 0D to 3D
2:59 4th Dimension
5:06 The Hypercube: Projections and Slicing
9:01 4 Pieces of Art
The Channel Trailer https://www.youtube.com/watch?v=o4HjIJTsS6w
Emergence Theory Defined (A Layperson's Guide) ► Bird Murmurations & Your Body https://www.youtube.com/watch?v=jaPgOkO5lzY
Joseph Campbell POWER OF MYTH ► Mythology, Hero's Journey, Monomyth, & Follow Your Bliss https://www.youtube.com/watch?v=mXSaFAC6tP0
Dream Theories Explained ► Facts, Psychology (Freud/Jung), & Lucid Dreams https://youtu.be/p_32VR2ZN_E
David Foster Wallace WORSHIP ► Commencement Speech Clip (This is Water audio) https://www.youtube.com/watch?v=-AK87zdMzRI
1984 vs Brave New World ► Neil Postman's Amusing Ourselves to Death [Orwell & Huxley] https://www.youtube.com/watch?v=ETUGwC9jXCM
flow state by MIHALY CSIKSZENTMIHALYI ► The Secret to Happiness & Psychology of Optimal Experience https://www.youtube.com/watch?v=9e31Tdvz_FU
🎥 Watch Further
Your Mind Is Eight-Dimensional - Your Brain as Math Part 3 | Infinite Series
https://www.youtube.com/watch?v=akgU8nRNIp0
The Simpsons, TreeHouse of Horror VI (1995)
Part 1: https://www.youtube.com/watch?v=3dvavcX9I8g
Part 2: https://www.youtube.com/watch?v=0DBGXN48tV4
Interstellar (2014)
Lady Gaga's 911 (2020) https://www.youtube.com/watch?v=58hoktsqk_Q
🚾 Works Cited
Intro song from "The Fourth Dimension" movie, actually a collection of 3 short films by Harmony Korine, Jan Kwieciński, and Aleksei Fedorchenko. It's weird but good. Val Kilmer really swings for the fences.
https://www.youtube.com/watch?v=TMi9b7Qi15U
"Drawing the 4th, 5th, 6th, and 7th dimension", Physics Videos by Eugene Khutoryansky. (2012). Creative Commons Attribution license (reuse allowed).
https://www.youtube.com/watch?v=Q_B5GpsbSQw
"Exploring other dimensions - Alex Rosenthal and George Zaidan", TED-Ed. (2013). Animation by Cale Oglesby.
https://www.youtube.com/watch?v=C6kn6nXMWF0
By Vitaly Ostrosablin - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=31380489
By A2569875 - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=24831343
By CrypticGamma - Orthogonal Tesseract Gif, CC BY-SA 4.0,
https://commons.wikimedia.org/wiki/File:Orthogonal_Tesseract_Gif.gif
By Spiritia - Hypercube-construction-4d, Public Domain,
https://commons.wikimedia.org/wiki/File:Hypercube-construction-4d.png#filelinks
By JasonHise 2007 - 8-cell-simple, Public Domain, https://commons.wikimedia.org/wiki/File:8-cell-simple.gif
By JasonHise 2007 - 8-cell, Public Domain,
https://en.wikipedia.org/wiki/File:8-cell.gif
Tom Moody (2007) http://www.digitalmediatree.com/tommoody/artwork/animation/?39786
https://celine.thejaida.com/2019/12/13/las-4-dimensiones/
Banchoff & Strauss. "The Hypercube: Projections and Slicing" (1978)
https://www.youtube.com/watch?v=90olwwLdEYg&feature=youtu.be
http://matematita.science.unitn.it/4d/index_en.html (2007)
https://commons.wikimedia.org/wiki/File:Hypercube-construction-4d.png
Dali, Salvador. "Crucifixion (Corpus Hypercubus)" 1954.
https://en.wikipedia.org/wiki/File:Dali_Crucifixion_hypercube.jpg
©1999 Artists Rights Society (ARS), New York / VEGAP, Madrid
🚨 Legal
Copyright Disclaimer under section 107 of the Copyright Act 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statute that might otherwise be infringing.
🚀 What is this channel?
Exploring Truth in philosophy, science, & art.
We'll uncover concepts from psychology, mythology, spirituality, literature, media, and more. If you like Lex Fridman or Curt Jaimungal, you'll love this educational channel.
Inspired by psychologist Jerome Bruner, the syllabus will circumambulate core topics; the spiral curriculum will regularly revisit ideas, building incrementally on earlier foundations. The curriculum may look scattered now, but eventually themes will converge and the giant map will make sense.
The goal is a better understanding of life, the universe, and everything. Maybe together we can get somewhere closer to humanity's grand search for meaning and chip away at life's greatest mysteries.
-CF
p.s. Please subscribe, young channel! =)
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