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.

🚩  / 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    • Channel Trailer for People Who Have n...  

Emergence Theory Defined (A Layperson's Guide) ► Bird Murmurations & Your Body    • Emergence Theory Defined (A Layperson...  

Joseph Campbell POWER OF MYTH ► Mythology, Hero's Journey, Monomyth, & Follow Your Bliss    • Joseph Campbell POWER OF MYTH ► Mytho...  

Dream Theories Explained ► Facts, Psychology (Freud/Jung), & Lucid Dreams    • Dream Theories Explained | Facts, Psy...  

David Foster Wallace WORSHIP ► Commencement Speech Clip (This is Water audio)    • David Foster Wallace WORSHIP ► Commen...  

1984 vs Brave New World ► Neil Postman's Amusing Ourselves to Death [Orwell & Huxley]    • 1984 vs Brave New World ► Neil Postma...  

flow state by MIHALY CSIKSZENTMIHALYI ► The Secret to Happiness & Psychology of Optimal Experience    • flow state by MIHALY CSIKSZENTMIHALYI...  

🎥 Watch Further
Your Mind Is Eight-Dimensional - Your Brain as Math Part 3 | Infinite Series
   • Your Mind Is Eight-Dimensional - Your...  

The Simpsons, TreeHouse of Horror VI (1995)
Part 1:    • The Simpsons - Homer 3D  
Part 2:    • The Simpsons - Homer in Real Life  

Interstellar (2014)

Lady Gaga's 911 (2020)    • Lady Gaga - 911 (Short Film)  

🚾 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.
   • The Fourth Dimension Official Trailer...  

"Drawing the 4th, 5th, 6th, and 7th dimension", Physics Videos by Eugene Khutoryansky. (2012). Creative Commons Attribution license (reuse allowed).
   • Drawing the 4th, 5th, 6th, and 7th di...  

"Exploring other dimensions - Alex Rosenthal and George Zaidan", TED-Ed. (2013). Animation by Cale Oglesby.
   • Exploring other dimensions - Alex Ros...  

By Vitaly Ostrosablin - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index...

By A2569875 - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index...

By CrypticGamma - Orthogonal Tesseract Gif, CC BY-SA 4.0,
https://commons.wikimedia.org/wiki/Fi...

By Spiritia - Hypercube-construction-4d, Public Domain,
https://commons.wikimedia.org/wiki/Fi...

By JasonHise 2007 - 8-cell-simple, Public Domain, https://commons.wikimedia.org/wiki/Fi...

By JasonHise 2007 - 8-cell, Public Domain,
https://en.wikipedia.org/wiki/File:8-...

Tom Moody (2007) http://www.digitalmediatree.com/tommo...

https://celine.thejaida.com/2019/12/1...

Banchoff & Strauss. "The Hypercube: Projections and Slicing" (1978)
   • "The Hypercube: Projections and Slici...  

http://matematita.science.unitn.it/4d... (2007)

https://commons.wikimedia.org/wiki/Fi...

Dali, Salvador. "Crucifixion (Corpus Hypercubus)" 1954.
https://en.wikipedia.org/wiki/File:Da...
©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! =)

#4thdimension #4D #tesseract #hypercube #3D #2D, #1D #0D #flatland #cubes #fourthdimension #4Dexplained #carlsagan #4Dvisualization