@Seventh_Shade

Fun fact: Alan Becker didn’t know much of any of this. One of his friends/animation team members wanted to do something he had a major in and Alan liked the idea.

@steelhorn2029

Fun fact, Alan Becker goes into detail on what things went into making the video.  One of those thing is that they're being attacked by a 4D shape.

@efulmer8675

1:50 That joke had me in tears.

12:20 I've seen comments that the undulating form is actually a 24-cell, the unique 'platonic solid' to the 4th dimension that's different from the 5 in 3 dimensions, and there's a running theme that the 24-cell has more difficulty breaking through objects that have higher dimensions (shooting rays do almost nothing, squares and pentagons slow it down, and the tetrahedron contains it for a bit).

12:55 Just keep them coming!

15:55 There is a Numberphile video that covers this as well as the 'platonic solids' of other dimensions and even shows some 3D models for those interested.

17:20 The background fractal there is specifically the Dragon Curve after various iterations of the process.

18:20 As others have pointed out, that's Orange but having gone through the events of Animation vs Physics.

I enjoyed this! It's nice to see mathematicians having fun with their field.

@sarahgilliss3503

Alan: "Platonic Solids."
Me after seeing what Alan's described: Aha! A d4, a d8, a d10, a d12, and a d20! I had no idea D&D was THIS related to mathematics! Cool!

@fransergiopestana1345

7:26 4D Shape called: Convex Regular 4D Polytope that was equally shaped of hexadecachoron and Icositetrachoron.

@Zephyr-Skye

Watch animation vs Math and animation vs Physics as well!
In cronilogical order: A vs Math => A vs Physics => A vs Geometry

@Zephyr-Skye

7:30 That is actually a 24-cell which is 4D

@Zephyr-Skye

10:50 to be more precise, that is the penrose dart which is used in the penrose tilings

@MrAlexblabla

may I add that the entity transforms into fractals (which are a dimension between 2D and 1D)
at 11:38, the impact of the entity on the pentagon creates the Mandelbrot set.

And one last point: the colors of Plato's different solids is a reference to Plato's phylosophy (each solid represents 1 of the "5" elements)
(red for fire, white for air, green for the cube, blue for water and finally ether (which has no specific color) )

@bluemarblescience

Excellent video Alan! That's well worth the watch.

@straykid_stay2503

the last part (18:03) shows the stickman where he saw himself at another dimesion (watch Animation vs. Physics and you will know)

@bryanvandermark6347

u're underated bruh,u explain these theories soo detailed

@sheri9516

4:24 that was the most easy to understand explanation of the golden ratio and the golden spiral that I have come across so far, ❤️❤️.

@QuantenMagier

12:56 I was expecting him to point out that the cube is created as the dual polyhedron of the octahedron, by swapping faces and vertices.

@tankmonster12345

The shape that chases him and phi is a 4D shape actually, and what orange aka TSC sees inside the doechahedron is many 4D shapes in a 4th dimension he just can't access

@glennning

0:48 bro doesn’t remember him (from animation vs math, yes he got here)

@Wan2HeavenlyWeapon

Nice reaction, very priceless! Also you should definitely react to the other 2 he did, Animation vs. Math & Animation vs. Physics. You'll love it!

@Zephyr-Skye

17:36 These are also 4D. We have a 5-cell, a teseract, 200-cell and 24-cell(I think)

@grieverlion1230

7:16 here we have (phi)⁰+(phi)¹=(phi)²
in the proof of pythagorean theorem

@ingiford175

And that is why I like Euclid's proof since it shows you how to break up c^2 to 2 rectangles that are each the size of the original two squares