This picture broke my brain
Escher's Print Gallery, and the tour of complex analysis it invites.
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Original paper by de Smit and Lenstra:
https://pub.math.leidenuniv.nl/~smitbde/papers/2003-de_smit-lenstra-escher.pdf
Co-written by Paul Dancstep, who handled many of the animations in the art section, including the delightful mesh warp scene.
Aaron Gostein helped with the manim animations in the section introducing …
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Chapters (7)
The print gallery
13:04
Conformal maps from complex analysis
21:41
The complex exponential
25:56
The complex logarithm
32:32
3b1b Talent
33:14
Constructing the key function
40:16
The deeper math behind Escher
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e to the pi i, a nontraditional take (old version)
3Blue1Brown
Euler's Formula Poem
3Blue1Brown
Euler's Formula and Graph Duality
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What does it feel like to invent math?
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How to count to 1000 on two hands
3Blue1Brown
Music And Measure Theory
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Fractal charm: Space filling curves
3Blue1Brown
The Brachistochrone, with Steven Strogatz
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Snell's law proof using springs
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Triangle of Power
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Essence of linear algebra preview
3Blue1Brown
Vectors | Chapter 1, Essence of linear algebra
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Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra
3Blue1Brown
Linear transformations and matrices | Chapter 3, Essence of linear algebra
3Blue1Brown
Matrix multiplication as composition | Chapter 4, Essence of linear algebra
3Blue1Brown
Three-dimensional linear transformations | Chapter 5, Essence of linear algebra
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The determinant | Chapter 6, Essence of linear algebra
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Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra
3Blue1Brown
Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra
3Blue1Brown
Dot products and duality | Chapter 9, Essence of linear algebra
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Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra
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Cross products | Chapter 10, Essence of linear algebra
3Blue1Brown
Change of basis | Chapter 13, Essence of linear algebra
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Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra
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Abstract vector spaces | Chapter 16, Essence of linear algebra
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Who cares about topology? (Old version)
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3blue1brown channel trailer
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Binary, Hanoi and Sierpinski, part 1
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Binary, Hanoi, and Sierpinski, part 2
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But what is the Riemann zeta function? Visualizing analytic continuation
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Tattoos on Math
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Fractals are typically not self-similar
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Euler's formula with introductory group theory
3Blue1Brown
The essence of calculus
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The paradox of the derivative | Chapter 2, Essence of calculus
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Derivative formulas through geometry | Chapter 3, Essence of calculus
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Visualizing the chain rule and product rule | Chapter 4, Essence of calculus
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What's so special about Euler's number e? | Chapter 5, Essence of calculus
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Implicit differentiation, what's going on here? | Chapter 6, Essence of calculus
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Limits, L'Hôpital's rule, and epsilon delta definitions | Chapter 7, Essence of calculus
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Integration and the fundamental theorem of calculus | Chapter 8, Essence of calculus
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What does area have to do with slope? | Chapter 9, Essence of calculus
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Higher order derivatives | Chapter 10, Essence of calculus
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Taylor series | Chapter 11, Essence of calculus
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Pi hiding in prime regularities
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All possible pythagorean triples, visualized
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But how does bitcoin actually work?
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How secure is 256 bit security?
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Hilbert's Curve: Is infinite math useful?
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Thinking outside the 10-dimensional box
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Some light quantum mechanics (with minutephysics)
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But what is a neural network? | Deep learning chapter 1
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Gradient descent, how neural networks learn | Deep Learning Chapter 2
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Backpropagation, intuitively | Deep Learning Chapter 3
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Backpropagation calculus | Deep Learning Chapter 4
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The hardest problem on the hardest test
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Q&A #2 + Net Neutrality Nuance
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Why this puzzle is impossible
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But what is the Fourier Transform? A visual introduction.
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The more general uncertainty principle, regarding Fourier transforms
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DeepCamp AI