Dodecahedral tesselation of the hypersphere - Mathlapse
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- čas přidán 20. 02. 2016
- A dissection of the 120 cell in twelve rings of 10 dodecahedra. Two sets of six rings form 2 solid interlocked tori. The film starts by showing the 600 cell, the dual of the 120 cell.
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Absolutely beautiful! I have never seen a 120-cell depicted in quite this way before. I never suspected that the dodecahedral cells came in rings! It reminds me a bit of the two rings of pentagonal antiprisms at the core of the grand antiprism.
Thank you so much for putting this video up on CZcams!
This is so brilliant this is EVOLUTION everybody. This is what we are doing!!!!!!
I have no idea what the hell I just witnessed but I feel like I just did a bunch of drugs.
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*shares everywhere*
Je ne peux pas imaginer combien d'heures vous avez du passer à créer cette figure. Bravo
Masterpiece - love it .
I love it! One of the most beautiful videos ever made.
Heaven on flat land! Thank you you put the GREAT MUSIV GEOMETER WITH THE QUINTESSENCE DODECAHEDRAL!
The ABSOLUTE DOES ENTER THIS SHADOW LAND . NEW CANDY FOR THE MIND….PLATO would be exalted . So beautiful !
Sound, movement geometry- UNIFICATION DONE! UTMOST BALLET- THE BEAUTIFUL THEORY !
You really outdid yourself on this one!
BEAUTIFUL!!
Math is so fancy and elegant.
Very clarifying, thank you.
Stunning
Fantastic!
Beautiful!
beautiful!
This goes great with Dimensions Part 4
Thank you so much for this.
Amazing work!
splendid!
Dodecahedron has appeared source of natural beauty
Very nice!
Fascinating! ^.^
Incredible
¡Bravo!
Fantastico!
*WOAH WOAH WOAH, MY EYES ARE GOING TO RUN AWAY BY NOW*
Are the cells ordinary 3d dodecohedras? İs the rotation double rotation? How did you get the first 4d coordinate of the single cell? İnverse stereographic projection? or by intersecting the 3d dodecohedras facets with hypersphere?
Truly spellbinding.
How about the 600-cell and 24-cell...?
Best animation
May I ask what software you used to create these animations? Or did you write the software yourself?
+Justin Jensen This was all done in Povray...
+Jos Leys I thought this looked very POVray-esque. Thanks for the info. In case you're interested, I created a few visualizations of animated hypercubes a few years ago. They're on my channel in the 4D Animation playlist.
De la poésie! Merci
Genial
Thx.
How's the 600-cell coming along?? 😉
oh my god... this is amazing, I have no idea what I'm watching really. This is basically math porn.
Bonito cómo se parece a un toroide. El toroide tiene similitudes con la esfera 4D
Deberías hacer uno del Octaedro4D
私も大好き。
I don't understand it but it is amazing. Also the music! What's the name of the music?
Bach Brandenburg Concerto
@@josleys number?
@@sussurroabissale8565 3
21th century Escher
Doesn’t this make you feel god!