Think Twice
Generating Conic Sections with Circles | Part 3. The Hyperbola
8:14
Think Twice
Generating Conic Sections with Circles | Part 2. The Parabola
6:47
Think Twice
Generating Conic Sections with Circles | Part 1. The Ellipse
6:11
Think Twice
Euler's Formula V - E + F = 2 | Proof
8:21
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Every Polygon can be Triangulated Into Exactly n-2 Triangles | Proof by Induction
7:34
Think Twice
Spherical Geometry: Deriving The Formula For The Area Of A Spherical Triangle
7:51
Think Twice
The Fermat Point of a Triangle | Geometric construction + Proof |
7:20
Think Twice
A fun probability puzzle with a neat geometric solution.
6:34
Think Twice
Constructing a Square of Equal Area to a given Polygon
4:26
Think Twice
Alternating series #2 | Visual solution |
3:08
Think Twice
Visual Calculus: Derivative of sin(θ) is cos(θ)
3:08
Think Twice
What is the area under an arc of a cycloid curve?
3:22
Think Twice
Napoleon's theorem | Proof |
2:32
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Cavalieri's Principle in 3D | Volume of a sphere |
3:40
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Alternating series #1 | Visual solution |
1:37
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Pythagorean theorem | 3 Visual Proofs |
2:08
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Approximating Pi ( Monte Carlo integration ) | animation
2:08
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Finding the general formula for nth octagonal number | Visual proof |
1:34
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Arithmetic mean vs Geometric mean | inequality among means | visual proof
1:39
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Infinite Sums | Geometric Series | Explained Visually
2:47
Think Twice
Geometry of Binomial Theorem | Visual Representation | 2 examples
1:58
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Four squares with constant area | Visual Proof | Squaring the segments |
1:56
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Geometry: Viviani's theorem | Visualization + Proof |
2:05
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Fitting a Cube Through a Copy of Itself | Rupert's Cube |
2:10
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Chaos Game | Fractals emerging from chaos | Computer simulation |
2:46
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Unfolding The Dragon | Fractal Curve |
2:18
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Double pendulum | Chaos | Butterfly effect | Computer simulation
2:16
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Cutting a Möbius strip in half (and more) | Animated Topology |
4:06
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Area of dodecagon | Beautiful geometry | Visual mathematics
1:14
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Sum of first n odd numbers | Visual mathematics |
1:26
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Beautiful visualization | Sum of first n Hex numbers = n^3 | animation
3:28
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Sum of n squares | explained visually |
2:14
Think Twice
Nicomachus's theorem | Visualisation | 3-D animation |
1:37