Cambridge Mathematician Reacts to Animation vs Geometry

Ellie Sleightholm
7 Jul 202423:31

Summary

TLDRIn this video, Ellie, a Cambridge Mathematics graduate, reacts to Alan Becka's 'Animation vs. Geometry'. She dives into fundamental geometric concepts like points, lines, and angles, and explores advanced topics such as the golden ratio, Pythagorean theorem, and fractals. The video is a blend of educational content and engaging visuals, with Ellie's enthusiasm for mathematics shining through as she explains and reacts to the complex mathematical animations presented by Alan Becka.

Takeaways

  • 🎓 Ellie, a Cambridge Mathematics graduate, is reacting to Alan Becka's 'Animation vs. Geometry' video.
  • 🔗 Ellie has previously reacted to 'Animation vs. Mathematics' and 'Animation vs. Physics', both linked in the video description.
  • 📚 The video begins with basic geometry concepts, such as Euclid's postulates and the fundamental idea of two points connected by a line.
  • 🟠 The character 'Orange' is introduced, who Ellie previously referred to as 'Stickman', highlighting Alan Becka's history in animations.
  • 📏 Concepts like angles, ratios, and the golden ratio are explored, with the golden ratio being represented visually with a flash of gold and the number 1.618.
  • 📐 Geometric shapes like triangles, parallelograms, and squares are discussed, with an emphasis on the properties of 90° angles and Pythagorean theorem.
  • 🔢 Mathematical drama unfolds as a 4D object appears, causing conflict and leading to the use of geometry and the golden ratio to combat it.
  • 💥 The video features a mix of dimensions, with 1D, 2D, and 3D objects being used to limit and eventually trap the aggressive 4D object.
  • 🛑 The use of platonic solids, including the tetrahedron, octahedron, and cube, is highlighted as a means to contain the 4D object.
  • 🔄 Fractals and their significance in the video are mentioned, with the destruction of the 4D object revealing beautiful fractal patterns.
  • 🎬 The video concludes with a connection back to 'Animation vs. Physics', suggesting a thematic link between Alan Becka's animations.

Q & A

  • Who is the host of the video reacting to Alan Becker's animation?

    -The host of the video is Ellie, a Cambridge Mathematics graduate.

  • What is the main topic of the video?

    -The main topic of the video is a reaction to 'Animation vs. Geometry' by Alan Becker.

  • What are the first two postulates of Euclidean geometry mentioned in the video?

    -The first postulate is that two points can be connected by a straight line, and the second postulate is that any line can extend to an infinite length.

  • What is the significance of the orange character in the video?

    -The orange character, previously referred to as 'Stickman', is a recurring element in Alan Becker's animations and represents a key character in the 'Animation vs.' series.

  • What mathematical concept is represented by the golden ratio in the video?

    -The golden ratio, approximately 1.618, is a mathematical concept that appears in various forms of art, architecture, and nature, and is shown as a significant element in the video.

  • What is the Pythagorean Theorem and how is it depicted in the video?

    -The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In the video, it is visually represented with shapes and angles.

  • What is the significance of the fractal patterns shown when the 4D object destroys things in the video?

    -The fractal patterns that appear when the 4D object destroys other objects may symbolize the self-similarity and complexity found in mathematical structures, even when broken down or 'destroyed'.

  • What are the platonic solids mentioned in the video and why are they significant?

    -Platonic solids are three-dimensional geometric shapes with equal faces and angles. In the video, they are the tetrahedron, octahedron, and cube, which are significant as they represent the first three of the five possible shapes that can be made with all sides of equal length.

  • How does the video use the concept of dimensions to create a conflict?

    -The video creates a conflict by having a 4D object interact with and attempt to destroy 1D, 2D, and 3D objects. The conflict escalates as the 4D object is limited and eventually trapped by the use of higher-dimensional shapes.

  • What is the significance of the continued fraction of the golden ratio shown in the video?

    -The continued fraction of the golden ratio is a way to express the ratio in a repeating pattern that never ends. It is significant in the video as it is used as a tool by the orange character in the conflict with the 4D object.

  • What is the final outcome of the conflict between the 4D object and the geometric shapes in the video?

    -The final outcome is that the 4D object is trapped within a 3D object, which causes it to explode and reveal fractal patterns, suggesting a resolution to the conflict through the use of higher-dimensional geometry.

Outlines

00:00

📚 Introduction to Reacting to Alan Becka's Animation vs. Geometry

Ellie, a Cambridge Mathematics graduate, introduces her reaction video to Alan Becka's 'Animation vs. Geometry'. She expresses excitement for the topic, having previously reacted to Becka's videos on animation versus mathematics and physics. Ellie's channel focuses on STEM content, and she dives into the video expecting a foundational geometry lesson, starting with the definition of a line and points in space, referencing Euclid's postulates. She also mentions the 'orange' character from Becka's animations, showing her growing familiarity with the series.

05:02

📐 Exploring Basic Geometry Concepts and the Golden Ratio

The video script discusses fundamental geometry concepts such as lines, angles, and ratios. It highlights the significance of the golden ratio, approximately 1.618, which is a fundamental aspect of geometry. Ellie speculates about the relationship between the golden ratio and other geometric figures like triangles and rectangles. The script also touches on the possibility of Pythagorean theorem being introduced and the idea of geometric figures like squares and circles. The golden ratio is personified as a character, 'F', who interacts with 'Orange', leading to a narrative within the geometry lesson.

10:04

🔢 Delving into Advanced Geometry: Platonic Solids and Fractals

The script moves on to more complex geometric concepts, including the introduction of Platonic solids and fractals. It describes the appearance of a 4D object, possibly a tesseract, and its aggressive behavior towards 2D and 3D geometric figures. The narrative includes the use of the golden ratio as a weapon against the 4D object and the appearance of a fractal plane. Ellie attempts to explain the significance of the fractal patterns revealed when the 4D object destroys geometric creations, indicating a deeper layer of complexity in the video's narrative.

15:05

🛹 Geometry in Action: The Battle with 4D Objects and Fractals

The script describes a dynamic scene where geometric figures, including a golden kite and a golden spiral, are used to combat a 4D object. The battle involves various geometric solids, such as a tetrahedron, octahedron, and cube, which are used to trap and limit the 4D object's capabilities. Ellie speculates about the significance of the dimensions and the progression from 1D to 3D objects in the battle. The script also mentions the appearance of a dodecahedron, another Platonic solid, and the explosion of the 4D object, leading to a display of fractals.

20:08

🎭 The Conclusion: Reflections on Alan Becka's Animation and Geometry

In the final paragraph, Ellie reflects on the video's content, expressing a desire for more after the conclusion of the animation. She comments on the fractal patterns and the appearance of a dragon fractal, as well as the infinite reflections seen in the video. Ellie also notes the connection to the film 'Inception' and the concept of infinite worlds, tying back to previous videos she has made. She ends with a sense of satisfaction from watching Alan Becka's animation and invites viewers to join her for the next video.

Mindmap

Keywords

💡Geometry

Geometry is a branch of mathematics that deals with the properties, measurement, and relationships of points, lines, angles, surfaces, and solids. In the video, geometry is the central theme, as it explores fundamental geometric concepts such as lines, angles, and shapes. For example, the script mentions 'two points connected by a line' and 'opposing angles,' which are basic elements in geometry.

💡Euclid's Postulates

Euclid's Postulates are a set of axioms that form the foundation of classical geometry, proposed by the ancient Greek mathematician Euclid. In the video, the script refers to 'UK's postulates,' likely a colloquialism for Euclid's, which are the starting points for understanding geometric principles. The script alludes to the first postulate involving the connection of two points by a straight line.

💡Golden Ratio

The Golden Ratio, often denoted by the Greek letter 'phi' (φ), is an irrational number approximately equal to 1.618. It is found in various aspects of art, architecture, and nature for its aesthetically pleasing proportions. In the video, the Golden Ratio is highlighted as a significant concept, with the script mentioning 'the golden ratio' and its numerical value, showing its importance in geometry.

💡Right Angle

A right angle is an angle of exactly 90 degrees, often symbolized by a small square in the corner of the angle. It is a fundamental concept in geometry, and the script refers to it when discussing angles that add up to 180 degrees on a straight line, a key property of right angles.

💡Pythagorean Theorem

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It is a fundamental principle in geometry and is mentioned in the script as 'Pythagoras's Theorem,' highlighting its relevance in the video's exploration of geometric relationships.

💡Platonic Solids

Platonic Solids are a family of three-dimensional geometric shapes, each of which is made up of congruent faces, with the same number of identical sides meeting at each vertex. The script mentions 'platonic solids,' including the tetrahedron, octahedron, and cube, which are the first three of the five solids, illustrating the concept of symmetry in geometry.

💡Fractals

Fractals are complex geometric shapes that can be split into parts, each of which is a reduced-scale copy of the whole. They are often found in nature and are characterized by their self-similarity. The script refers to 'fractal patterns' and describes a 'fractal plane,' indicating the video's exploration of the intricate and repeating patterns found in fractals.

💡Golden Spiral

The Golden Spiral is a logarithmic spiral that grows outward by a factor of the Golden Ratio for every quarter turn it makes. It is often found in nature and art for its aesthetically pleasing proportions. The script mentions 'the golden spiral,' which is an example of how the Golden Ratio manifests in geometric forms.

💡Continued Fraction

A continued fraction is an expression obtained by the repetition of a pattern of a certain number of terms. It is a way to represent numbers in a form that can reveal interesting properties. The script refers to the 'continued fraction of five,' which is a way to express the Golden Ratio and is used in the video to demonstrate the complexity and beauty of mathematical representation.

💡4D Object

A 4D object refers to a geometric shape that exists in four-dimensional space, which is beyond the three spatial dimensions we experience. The script mentions a '4D object,' suggesting the video explores concepts that extend beyond traditional geometry into higher dimensions, possibly as a metaphor for complex ideas or advanced mathematical concepts.

💡Animation vs. Geometry

This phrase is the title of the video and suggests a playful comparison or interaction between the art of animation and the discipline of geometry. The script discusses various geometric concepts throughout, indicating that 'Animation vs. Geometry' is a creative way to engage with mathematical ideas through visual storytelling.

Highlights

Ellie, a Cambridge Mathematics graduate, reacts to Alan Becka's 'Animation vs. Geometry' video.

Introduction to Euclid's postulates, starting with two points connected by a line.

Orange, previously known as Stickman, represents a character in the animation.

Exploration of geometry concepts like extending lines, opposing angles, and right angles.

Discussion on the golden ratio, denoted as 'phi' (φ), and its significance in geometry.

Introduction of Pythagorean theorem with a visual representation of a^2 + b^2 = c^2.

Transformation of geometric shapes into a parallelogram and square, illustrating geometric relationships.

Concept of increasing the number of equal triangles around a point to form a circle.

Appearance of the golden triangle and its relation to the Golden Ratio.

Introduction of the golden square and its mathematical properties.

Incorporation of fractals and the concept of a 4D object, suggesting a tesseract.

Use of the golden ratio in a continued fraction format, showcasing mathematical representation.

Appearance of the golden spiral, another feature in mathematics related to the Golden Ratio.

Introduction of the golden kite, a polygon with golden ratio properties.

Engagement with platonic solids, including the tetrahedron, octahedron, and cube.

Struggle between the 4D object and the geometric figures, leading to a mix of dimensions.

Final entrapment of the 4D object using a dodecahedron, a 3D representation of the Golden Ratio.

Exploration of fractals and their patterns when the 4D object destroys geometric figures.

Inception-like scene with infinite reflections and the appearance of a dragon fractal.

Connection to the previous video 'Animation vs. Physics' with a subtle tie-back.

Transcripts

play00:00

today I'm going to be reacting to Alan

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Becka's animation versus geometry let's

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dive straight into

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[Music]

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it hi everyone and welcome back to my

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channel for those of you that knew her

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my name is Ellie and I am a Cambridge

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Mathematics graduate and I am reacting

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to animation versus geometry today this

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is the third Alan Becka video that I've

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reacted to so I did the animation versus

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mathematics and the animation versus

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physics both of the videos I've Linked

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In the description so if you're fancy

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checking them out after this video then

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feel free I am so excited for this I

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wasn't expecting animation versus

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geometry to be the next one out I know a

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lot of people were speculating about

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maybe chemistry so I'm very happy that

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it has aligned with mathematics because

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yeah I love maths as most of you that

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have watched this channel before know

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and that's why this channel is here

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because all I do is nerd out about stem

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stuff so yes without further Ado let's

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dive straight into animation versus

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geometry okay we've got Circle a nice

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shap in Geometry is it a

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circle oh it's a line okay okay so

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straight away we've got uh two I guess

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points in space that are connected by a

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line two points that are connected by a

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line is the very fundamental aspects in

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Geometry which is ukids postulates and

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this is the first one that we see so

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well I hope it is anyway I did this in

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the animation versus m and I was like oh

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this is what it is and then it just

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wasn't so maybe I should just stop

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talking there's a l there's a little

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orange is this like a Tracker oh my gosh

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that's orange that is something as well

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that I in the previous two videos I just

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got used to calling the stickman

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stickman because I wasn't fully aware of

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Alan Becka's whole history behind

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animation whereas I know it now so yeah

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um thank you YouTube for teaching me

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something so I now know that Stickman as

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I called them is now orange or the

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second coming so I'm going to stick with

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orange just cuz it's a bit faster so I

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assume this is

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Orange is that his head yeah okay

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cool okay so orang is on ID's first

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postulate which is two points connected

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in space please don't jump off okay he

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didn't we got we've got gravity again

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here I guess oh a okay nice A and B

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typically in Geometry when we label

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points um just yeah generally in

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Geometry we label them capital A B C and

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throughout the alphabet so a the first

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two letters in the alphabet and so these

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points are connected by

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that okay I have a feeling because he's

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sticking his leg out he's going to fall

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off there at some

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point okay we've got another point is

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this going to be C once it's connected

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oh is C nice but it's not okay C is not

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connected but it extends I guess it's

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not infinite but maybe this is alluding

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to the is it the second postulate I

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think of uet's five postulates which

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basically says that any line can extend

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an infinite length I assume that's what

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the arrow is indicating here they kind

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of it can go on for forever essentially

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cool okay so are we going to like step

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through each of UK's postulates this is

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like starting geometry stuff I feel like

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most of Alan Becka's things just jump

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straight into like really complex maths

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so I'm glad that we're yeah

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we're at like a nice level okay so C is

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oh nice are we are we going to turn

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start talking about vectors maybe um you

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know Direction lines with directions no

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oh cool okay oh this is throwing me back

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to like mat in school I love geometry so

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much sorry anyway I'll stop nerding out

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apologies for how much I pause and nerd

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out in this video so we have opposing

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angles they're equal essentially if you

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have two lines that cross then the

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opposite angles here are exactly the

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same so we have 60° and 60° um because

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the opposite maybe we get on to talking

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about how angles add up to

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360 hopefully Okay so we've got 30 30 10

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10 90° okay nice a right angled a right

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angle should I say a right angle in

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mathematics is uh an angle that measures

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90° or pi/ 2 so here we see a nice thing

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in mathematics which is yeah 90° I'm

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sure we're going to see Pythagoras at

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some point I'm waiting for

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it nice we see here that an an angle on

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a straight line is 180° we see that 2 90

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de angles make

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180 so again we've got degrees angles on

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a straight line adding up to 180 it's

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nice got ratios cool so we have the

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ratio there of this point so the point

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itself that says a colon B that's the

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ratio between A and B so we see here

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that the ratio between A and B so

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because B is longer than a we expect the

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ratio between A and B to be yeah less

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than one

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okay he's kicking it like a football

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whoa what the heck was

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that I got an

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advert I got an advert at the at the

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time that I was trying to figure out

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what this gold thing is oh hang on a

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second I'm going to rewind

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it I'm going to pause it I think it's

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the gold is it the golden it's got to be

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the golden ratio like this is like one

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of the most fundamental things in

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Geometry I'm going to be quiet cuz I

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feel like whenever I suggest things it's

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always wrong so I think it's the golden

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ratio because it's

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1.618 yeah and we're getting a flash of

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gold

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1.618 yes okay nice okay okay cool

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what oh

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it's oh my gosh I think I laughed a bit

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too hard then oh my gosh my throat yes

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we have we have have five which is

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typically denoted as the golden ratio so

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I'm anticipating if it's anything like

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Alan Becka's videos these two are

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probably going to be enemies now let's

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see so a so is there a significance of

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the fact that a the ratio between A and

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B is root three there perhaps maybe

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later he's going to

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fall is this going to make like a square

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is he going to

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help the golden race sure going to

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help oh he did help oh I was fully

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anticipating the golden ratio to start

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fighting him okay cool cool I guess

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they're friends are they going to be

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friends or are they going to be enemies

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like always in Alan Becka's

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videos so we've got a 90° triangle okay

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have I missed anything no we've got a 90

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degrees triangle I anticipate

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maybe Pythagoras's Theorem is going to

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come up now

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no okay we've just got the two two

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triangles that are the same they can be

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put together to form a rectangle nice

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that works for 90° angles who so much is

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happening so we've extended we've

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rotated the lower triangle by 90° so

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we're seeing a bit of how things are

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related oh and it's just been flipped

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across the axis which could be the

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x-axis okay so we parallelogram nice so

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two two that's just I feel like I'm

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giving like a a lesson about geometry

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here I'm trying to do my best to explain

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what's going on here while it's also

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reacting so excuse the constant

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explanations but we have a parallelogram

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because we can get two 90° triangles uh

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we can combine them and they can make a

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parallelogram which is what we see here

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and the same goes for a

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square oh nice okay

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so this is relating to the fact that if

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you increase the number of equal

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Triangles around a

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point then they extend towards a

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circle which I expect expect is what's

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yeah this is what's happening nice so

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nice he's now a hamster on a car

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carousel we've got this we've got the

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circle okay nice and wow I paused at a

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really good time there I was just going

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to say that we have the um typical

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geometry which is you can have a a

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square a square no not a square at all a

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triangle inside a circle um if you have

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three points connected on a circle it

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makes a triangle there's actually a

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really cool I think it's a pum problem

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about this which yeah I won't I'm

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digressing I'm just nering out so

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this is the um the

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golden my brain's broken CU is happening

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but the Golden Triangle because here you

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see that the hypotenuse of the triangle

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has length of the Golden Ratio

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1.618 nice so we've got a Golden

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Triangle so much has already happened

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and we're only three minutes in we're a

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third of the way in

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okay I expect nothing less of of Alan

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Becka's animations and now we have a

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golden

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square is it the golden Square here's

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Pythagoras here's Pythagoras I was I was

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waiting I thought it would come a bit

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earlier but yeah here's the the classic

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Pythagoras's Theorem which says that a s

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+ B2 = c^2 of a triangle where a B and C

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are denoted here so this is the kind of

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visual representation of Pythagoras's

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Theorem I like the music the music is

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nice it's kind of similar to the

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animation versus

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physics but it's calm now

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and as with all of Alan Beckers there's

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going to be some drama I just know it

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and this music is going to is going to

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change

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so we've

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got I I feel like that's the golden

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ratio changed from having a circle it as

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five as as to a square and I imagine

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that's him saying can you lift up a squ

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as well like I've just done with c squ

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yeah

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that's come on orange I really hope I

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haven't called him Stickman I feel like

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I've been defaulting so if I have I

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apologize okay nice

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nice we've got a 2 + b s = c^2 and

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obviously we had it for f as

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C uh

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okay uh rewind um

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what okay so the music's changed and

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that hang on that

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before that looks like a

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fractal is it a

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fractal hang

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on this I imagine is the the thing we're

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now going to have to destroy as in all

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of the animation series but that I'm

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sure that is that that's got to be a 4D

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object

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because I'm thinking of like a tesseract

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and a tesseract has kind of the

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connected points out and then

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into the like cubis I'm not explaining

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this very

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well but I'm sure this is a 4D object

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it's CAU a bit and I imagine maybe

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that's why

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it's well I don't think it's so friendly

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it doesn't look friendly anyway so it's

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wanting to destroy the creations of F

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and

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orange yeah wait that is a fractal I

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think that's a fra it's a fractal plane

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okay so the behind is a fractal plane

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that's kind of cool I wonder what the

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significance is of the fact that we have

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this really

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aggressive 4D object and when it

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destroys things it reveals a fractal

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element I wonder what the significance

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is of that

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but this is so cool okay I mean it's not

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cool cuz the the probably well they

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won't die we know they won't die

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okay oh just so much happening okay

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right so we've got this 4D object that's

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trying to

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kill orange not Stickman and F or the

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golden ratio and we've got we've got

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another line uh here that they're

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running

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along well there's no like multiplier

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for him to use to go faster now

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whoa oh that's so cool okay it's the

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um what do you call it it's like the

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it's a fraction it's a continued

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fraction it's the continued fraction of

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five so essentially you can rewrite the

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golden ratio I wonder I wonder if I can

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just fast forward a bit here without

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it yeah it's hard to kind of see but

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essentially this here is the continued

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fraction of f itself so we can write by

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In This format which was also a really

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cool thing that I learned just when

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learning about the golden ratio I think

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it's so cool just in math I find it so

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cool how you can take something that's

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like as simple as a as like a number or

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an equation and you can write it in such

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sometimes really neat format and I love

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that about the film The Man Who Knew

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Infinity because you see like patterns

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that seem so complex can be written in

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like a really nice format um yeah if

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you're interested actually I've done a

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video explaining the ma behind the film

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The Man Who Knew Infinity so yeah check

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that out if you're interested but anyway

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we've got the continued fraction here of

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F and orange is using that as ammunition

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nice okay I like how when it shoots you

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can see the reflection of so essentially

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it's shooting a line and then you see

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you're seeing it reflected and when

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that's reflected you're seeing the angle

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at which it's it's reflected cool

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this is pretty close I mean it's always

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close oh

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okay okay oh okay nice we've got the

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spiral we have the golden spiral we have

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the golden ratio spiral it's beautiful

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another

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beautiful um feature in mathematics I

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would say and the 4D 40 objects coming

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back

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okay right so much has happened there

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we've got the golden ratio being used as

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a a balancing object and orange is I

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assume going to shoot a line yeah

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nice I mean back to the spiral itself I

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just find again I'm going to n out there

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are so many really cool features in

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mathematics or so many called patterns

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in maths and they can be seen in nature

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as well which are yeah just find

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fascinating okay so orang is being a

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surfer or a skater Now using F okay Okay

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so we've got a golden kite we have a

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golden kite kite should I

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say 4D object is shooting more 4D

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objects I think why does this look like

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Space Invaders this is

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crazy the music is so intense as well oh

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my

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gosh

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okay I'm not seeing any mathematics I'm

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seeing mathematics

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nice and we're seeing a pentagon and a

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pentagon that's made up of different

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golden ratios which is why it's golden

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beautiful and now we've got loads of

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little FS okay and they're creating

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objects to destroy this 4D object which

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is just getting even angrier okay oh

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we're seeing fractal patterns again this

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is so awesome I I really want to know

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what the significance is

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behind the the reason why when the 4D

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object

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ruins aspects of this hang on

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there's like the mini little Tessa thing

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that I was saying but it's not Tesseract

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at all it's just like a cube with a

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little circle inside it I assume they're

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going to try and trap the 4D object in a

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3D

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object

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okay so much violence I

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mean

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okay oh nice right right so he's the 4D

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object is now trapped inside a

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tetrahedron which is

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a four-sided object I don't know why

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that took me so long he's trapped inside

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a tetesan okay which seems to have

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worked and this is no longer tetrahedron

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it is an octahedron I believe so he's

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enclosed

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in this three-dimensional space now

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which seems to be entrapping here

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and now he's going to be enclosed even

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further

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in a square is it a square yeah Square

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oh nice okay we've got like three we've

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got no we had we've got two solids there

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platonic solids which uh essentially

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mean that well I think that's right

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platonic solids were are they equal

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sides or at least they're

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solid so much is happening but

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essentially we just created three

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different

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three-dimensional objects which I think

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are referring to the platonic solids

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that is it platonic solids I hope it's

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bonic solids which are

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three-dimensional geometrical objects

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which all their sides are equal so we

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had the tetrahedron we had the

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octahedron and then we had the cube

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which are the first three out of the

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five objects that can all be made by

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having the same size lengths I I think

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but then I said that about the

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postulates and I said we'll see all the

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postulates which we probably have I just

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I probably missed all of them

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um Okay so we've got a lot of golden

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objects

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here he's rotating the golden objects

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okay are we going to get another

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platonic solid here yes yeah wait wait

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wait wait wait wait wait I forgotten

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what it's called but I'm sure that is

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one of the other platonic solids I'm

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sure of it because we've got we've got

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triangles there and they're all equal

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length like well they are equal length

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as well but equal all the triangles are

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exactly the same in the solid itself so

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I think we have the platonic solids okay

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I I really hope I haven't messed that up

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okay and it seems to be that these

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platonic solids are stopping the 4D

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object or at least limiting the 4D

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objects

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capabilities um we're mixing Dimensions

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here which oh I kind of understand that

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like the when you think about it I mean

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I really hope that is a 4D object like I

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said if it's not then this Theory fails

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but obviously we saw two-dimensional

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objects being you know straight lines

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being shot at well not

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actually wow my brains just clicked we

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started with

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one-dimensional objects being shot

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at the 4D object which were just

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straight lines we saw that didn't limit

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him at all all this 4D object then we

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started with two dimensional objects

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being shot at the 4D object limited the

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4D object a little bit further but not

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massively and now we're on to

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3D all right okay

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cool uh I'm actually really quite proud

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of myself for hopefully picking that up

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so now 3D is limiting the 4D object even

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further I anticipate maybe we will try

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and trap the 4D object in a 4D object

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itself Maybe I'm I'm thinking that's

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where it's going let's have a

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look okay

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wow so we used this platonic solid to

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ENT

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trap now they're going to do they're

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going to make it but with pentagons yeah

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that's a do decahedron okay I know I

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know that name I forgotten what the name

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of the one that we had

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previously I forgot on the name of the

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object the 3D object we had previously

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okay nice

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nice wait did that just get did that

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just explode hang on wait wait wait so

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we we we've entrapped the do we've

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entrapped that's actually really nice so

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essentially all of the uh segments where

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their points connect in the center of

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this four-dimensional object we've

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entrapped that into a three-dimensional

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object which has caused it to blow

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up it's like Stardust it's so cute

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maybe not cute

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but okay whoa oh we've got fractals

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again oh we've got we've got the dragon

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fractal is it Dragon fractal dragon tail

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Dragon

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something I absolutely love the effect

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of the combination between like the the

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negative whoa hang on let me just pause

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and explain what I was going to say my

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camera also just died at the worst

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possible time but what I was saying was

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back to the whole fractal thing I really

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I really how we've got like this

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negative 4D object and when it destroys

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things in the 3D 2D 1D world we have

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these fractal patterns and you know

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fractals in Geometry I just find

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fascinating in themselves if you want me

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to do a video on them I'm more than

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happy to because I can just nerd out all

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day about them um and I've also paused

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it on a what looks like incept is it

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Inception is that the film where kind of

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an infinite set of mirrors it's like

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when you go to like an amusement park

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and there's like other mirrors and you

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don't actually know which way to get out

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so we've got we still have the do

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decahedron orange

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is stood looking at

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himself suppose this is fractal in

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itself kind of an infinite number of

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seeing him in infinite times whoa hang

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on so we're

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seeing I think they're they're are they

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4D

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objects so we're seeing loads of

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different 4D objects I think

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okay I knew there'd be some sort of tie

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back to the previous video which is

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animation versus physics and as I said

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in that video This Ain't his first rodeo

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so I like that little subtlety there

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that's scary that's I mean that's kind

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of like going back to like the infinite

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worlds Theory which I've done a video on

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literally my last video was on that but

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how you can see yourself in a parallel

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universe so we see orange

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in a parallel universe with this Cowboy

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hatan which is from animation versus

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physics

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crazy

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okay that's

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spooky

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a oh I'm kind of sad that's over I like

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I was kind of I don't know I was just

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kind of wanting more um I feel like

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that's me at the end of every single one

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of Alan Becka's videos a good way to

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spend a Saturday thank you to everyone

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who's watched this video and I'll see

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you all in the next one

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MathematicsGeometryAnimationAlan BeckaEducationalGolden RatioFractalsPlatonic Solids4D ObjectsNerd Culture
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