Канал: Think Twice

Generating Conic Sections with Circles | Part 3. The Hyperbola

Generating Conic Sections with Circles | Part 3. The Hyperbola

Generating Conic Sections with Circles | Part 2. The Parabola

Generating Conic Sections with Circles | Part 2. The Parabola

Generating Conic Sections with Circles | Part 1. The Ellipse

Generating Conic Sections with Circles | Part 1. The Ellipse

Euler's Formula V - E + F = 2 | Proof

Euler's Formula V - E + F = 2 | Proof

Every Polygon can be Triangulated Into Exactly n-2 Triangles | Proof by Induction

Every Polygon can be Triangulated Into Exactly n-2 Triangles | Proof by Induction

Spherical Geometry: Deriving The Formula For The Area Of A Spherical Triangle

Spherical Geometry: Deriving The Formula For The Area Of A Spherical Triangle

The Fermat Point of a Triangle | Geometric construction + Proof |

The Fermat Point of a Triangle | Geometric construction + Proof |

A fun probability puzzle with a neat geometric solution.

A fun probability puzzle with a neat geometric solution.

Constructing a Square of Equal Area to a given Polygon

Constructing a Square of Equal Area to a given Polygon

Alternating series #2 | Visual solution |

Alternating series #2 | Visual solution |

Visual Calculus: Derivative of sin(θ) is cos(θ)

Visual Calculus: Derivative of sin(θ) is cos(θ)

What is the area under an arc of a cycloid curve?

What is the area under an arc of a cycloid curve?

Napoleon's theorem | Proof |

Napoleon's theorem | Proof |

Cavalieri's Principle in 3D | Volume of a sphere |

Cavalieri's Principle in 3D | Volume of a sphere |

Alternating series #1 | Visual solution |

Alternating series #1 | Visual solution |

Pythagorean theorem | 3 Visual Proofs |

Pythagorean theorem | 3 Visual Proofs |

Approximating Pi ( Monte Carlo integration ) | animation

Approximating Pi ( Monte Carlo integration ) | animation

Finding the general formula for nth octagonal number | Visual proof |

Finding the general formula for nth octagonal number | Visual proof |

Arithmetic mean vs Geometric mean | inequality among means | visual proof

Arithmetic mean vs Geometric mean | inequality among means | visual proof

Infinite Sums | Geometric Series | Explained Visually

Infinite Sums | Geometric Series | Explained Visually

Geometry of Binomial Theorem | Visual Representation | 2 examples

Geometry of Binomial Theorem | Visual Representation | 2 examples

Four squares with constant area | Visual Proof | Squaring the segments |

Four squares with constant area | Visual Proof | Squaring the segments |

Geometry: Viviani's theorem | Visualization + Proof |

Geometry: Viviani's theorem | Visualization + Proof |

Fitting a Cube Through a Copy of Itself | Rupert's Cube |

Fitting a Cube Through a Copy of Itself | Rupert's Cube |

Chaos Game | Fractals emerging from chaos | Computer simulation |

Chaos Game | Fractals emerging from chaos | Computer simulation |

Unfolding The Dragon | Fractal Curve |

Unfolding The Dragon | Fractal Curve |

Двойной маятник | Хаос | Эффект бабочки | Компьютерная симуляция

Двойной маятник | Хаос | Эффект бабочки | Компьютерная симуляция

Cutting a Möbius strip in half (and more) | Animated Topology |

Cutting a Möbius strip in half (and more) | Animated Topology |

Area of dodecagon | Beautiful geometry | Visual mathematics

Area of dodecagon | Beautiful geometry | Visual mathematics

Sum of first n odd numbers | Visual mathematics |

Sum of first n odd numbers | Visual mathematics |

Beautiful visualization | Sum of first n Hex numbers = n^3 | animation

Beautiful visualization | Sum of first n Hex numbers = n^3 | animation

Sum of n squares | explained visually |

Sum of n squares | explained visually |

Nicomachus's theorem | Visualisation | 3-D animation |

Nicomachus's theorem | Visualisation | 3-D animation |