08:14
Generating Conic Sections with Circles | Part 3. The Hyperbola
06:47
Generating Conic Sections with Circles | Part 2. The Parabola
06:11
Generating Conic Sections with Circles | Part 1. The Ellipse
08:21
Euler's Formula V - E + F = 2 | Proof
07:34
Every Polygon can be Triangulated Into Exactly n-2 Triangles | Proof by Induction
07:51
Spherical Geometry: Deriving The Formula For The Area Of A Spherical Triangle
07:20
The Fermat Point of a Triangle | Geometric construction + Proof |
06:34
A fun probability puzzle with a neat geometric solution.
04:26
Constructing a Square of Equal Area to a given Polygon
03:08
Alternating series #2 | Visual solution |
03:08
Visual Calculus: Derivative of sin(θ) is cos(θ)
03:22
What is the area under an arc of a cycloid curve?
02:32
Napoleon's theorem | Proof |
03:40
Cavalieri's Principle in 3D | Volume of a sphere |
01:37
Alternating series #1 | Visual solution |
02:08
Pythagorean theorem | 3 Visual Proofs |
02:08
Approximating Pi ( Monte Carlo integration ) | animation
01:34
Finding the general formula for nth octagonal number | Visual proof |
01:39
Arithmetic mean vs Geometric mean | inequality among means | visual proof
02:47
Infinite Sums | Geometric Series | Explained Visually
01:58
Geometry of Binomial Theorem | Visual Representation | 2 examples
01:56
Four squares with constant area | Visual Proof | Squaring the segments |
02:05
Geometry: Viviani's theorem | Visualization + Proof |
02:10
Fitting a Cube Through a Copy of Itself | Rupert's Cube |
02:46
Chaos Game | Fractals emerging from chaos | Computer simulation |
02:18
Unfolding The Dragon | Fractal Curve |
02:16
Double pendulum | Chaos | Butterfly effect | Computer simulation
04:06
Cutting a Möbius strip in half (and more) | Animated Topology |
01:14
Area of dodecagon | Beautiful geometry | Visual mathematics
01:26
Sum of first n odd numbers | Visual mathematics |
03:28
Beautiful visualization | Sum of first n Hex numbers = n^3 | animation
02:14
Sum of n squares | explained visually |
01:37
Nicomachus's theorem | Visualisation | 3-D animation |
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Mathematics in motion.
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