Math Professor Reacts To Animation vs. Geometry

Have a great time with Dr. Alan Parry watching Alan Becker's incredible video Animation vs. Geometry. Alan is a math professor at a large public university and a differential geometer. In this video, he reacts to some of the amazing geometric ideas that Alan Becker used in his video.

*The copyright of the original Animation vs. Geometry video is owned by Alan Becker. This video is made with permission from Alan Becker's team. All viewers are encouraged to watch the original Alan Becker video in its entirety at the link below. It's pretty awesome!*

*Video Used*

_Animation vs. Geometry_
Author: Alan Becker
Used with permission

*Music Used*

_Elevators Need Rock Too_
By Spence

_Fantasyland_
By Quincas Moreira

*Pictures Used*

_Fractal Antenna_
License: Public Domain

_Sierpinski Carpet Fractal_
Author: Nadim-Daniel Ghaznavi
Changes: No changes made to the file, but the file was added into this video.

_Mandelbrot Sequence New_
Author: Simpsons Contributor
License: Public Domain

_Platonic Solids Transparent_
Author: Drummyfish
License: CC0-1.0 Public Domain

_Cover of Flatland: A Romance of Many Dimensions / with Illustrations by the Author, A Square_
Source: Harvard University Houghton Library
License: Public Domain

_Animated 8-cell Tessaract_
Author: Jason Hise
License: CC0-1.0 Public Domain

[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.

[steelhorn]

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.

[efulmer]

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.

[sarahgilliss]

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!

[Zephyr-Skye]

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

[fransergiopestana]

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

[Zephyr-Skye]

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

[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) )

[Zephyr-Skye]

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

[sheri]

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, ❤️❤️.

[straykid_stay]

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

[bluemarblescience]

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

[bryanvandermark]

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

[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.

[Zephyr-Skye]

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

[WanHeavenlyWeapon]

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!

[tankmonster]

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

[grieverlion]

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

[ingiford]

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

[glennning]

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