Fractals
51 videos • 6,967 views • by Mathematical Visual Proofs
Mathematical visualizations related to fractal objects.
1
Mandelbrot Quintet Fractal (a 5 rep-tile): Order from Chaos (visual construction)
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2
Chaos Game in a Hexagon
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3
Geometric series: sums of powers of 3 (visual proof)
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4
Twin Dragon Fractal (a 2 rep-tile): Order from Chaos (visual construction)
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5
Symmetric Binary Trees (visual construction)
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6
Bilateral Stimulation with Binary Symmetric Trees (visual calming for anxiety)
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7
Morphing Symmetric Binary Trees (visual calming for anxiety; bilateral stimulation)
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8
The Lévy Dragon from the Chaos Game (visual construction)
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9
Six Sierpiński Triangle Constructions (visual mathematics)
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10
Self Similar Geometric Series: Sums of powers of 7 (and all integers larger than 3)
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11
Sierpinski from Pascal
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12
Sierpinski from ternary branching
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13
[Private video]
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14
Arrowhead Sierpinski Triangle construction.
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15
The Dragon Curve (visual construction; plane tiling)
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16
The Thue-Morse Sequence (with visualizations)
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17
Koch Curve from Thue-Morse Turtle Graphics
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18
A Fractal Holiday Greeting #fractal #manim #sierpinski #holiday
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19
[Private video]
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20
Taking the Dragon Curve for a Walk
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21
[Private video]
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22
Walking the Dragon and Koch Curves with a Turtle (131072 steps each!)
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23
Morphing symmetric binary branching tree
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24
The Chaos Game in Pentagon, Octagon, and Square (math visualization)
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25
Pythagorean Fractal
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26
A Hexagonal Geometric Sum (visual proof without words)
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27
Summing Powers of Three
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28
Fern from a Chaos Game
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29
Chaos Game in a Square
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30
Infinite Sierpinski Zoom #fractal #math
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31
Continuous Sierpinski Triangle Drawing
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32
[Private video]
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33
Sierpinski Arrowhead Curve L-system (118098 steps!)
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34
Binary Branching Trees Evolve
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35
Pentagonal Chaos Game
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36
Unfolding the Year of the Dragon: 2024 Lunar New Year Special
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37
Happy Lunar New Year: Unfolding the Dragon Curve
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38
The sus Koch Curve
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39
Octagonal Chaos Game
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40
Levy Curve from the Chaos Game
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41
Levy Dragon L-System Visualization (65535 steps!)
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42
0.1111… = 1 (in base 2)
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43
Three Geometric Series in an Equilateral Triangle (visual proof without words)
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44
Terdragon from the Chaos Game (visual fractal construction from iterated function system)
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45
Alternating Geometric Series Sum
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46
0.66666… = 1 (in base 7)
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47
Two Geometric Series in an Isosceles Trapezoid (visual proof without words)
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48
0.5555… = 1 (in base 6)
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49
Twin Dragon from Chaos Game
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50
Chaos Game finds the Mandelbrot Quintet
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51
0.bbbb... = 1 (in base b+1) | 9 geometric series dissection proofs without words
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