Hyperbolic geometry

Sphere-world

The idea of a sphere-world was constructed by Henri Poincaré who, while pursuing his argument for conventionalism (see philosophy of space and time), offered a thought experiment about a sphere with strange properties. (Wikipedia).

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Finding the volume and the surface area of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Learn how to determine the volume of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Find the volume of a sphere given the circumference

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Given the circumference how do you find the surface area of a hemisphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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How do you find the surface area of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

Video thumbnail

How do you find the volume of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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How do you find the volume of a hemisphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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What Is A Dyson Sphere?

A Dyson Sphere is a megastructure that could be built around a star to harness all the solar energy it gives off. In this video we talk about the different kinds of Dyson Spheres, Dyson Clouds and other megastructures that could be built - and how we might even detect them from Earth. ht

From playlist Guide to Space

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Steve Trettel - Visiting the Thurston Geometries: Computer Graphics in Curved Space - CoM Feb 2021

A beautiful observation of classical physics is that “light travels in straight lines” is only an approximation to reality. More precisely, light always takes a geodesic – a path between two points minimizing its time of travel. While this is often used to explain physical phenomena mathe

From playlist Celebration of Mind 2021

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Étienne Ghys: A guided tour of the seventh dimension

Abstract: One of the most amazing discoveries of John Milnor is an exotic sphere in dimension 7. For the layman, a sphere of dimension 7 may not only look exotic but even esoteric... It took a long time for mathematicians to gradually accept the existence of geometries in dimensions higher

From playlist Abel Lectures

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Cosmology Lecture 3

(January 28, 2013) Leonard Susskind presents three possible geometries of homogeneous space: flat, spherical, and hyperbolic, and develops the metric for these spatial geometries in spherical coordinates. Originally presented in the Stanford Continuing Studies Program. Stanford Universit

From playlist Lecture Collection | Cosmology

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Cosmology | Lecture 5

Lecture 5 of Leonard Susskind's Modern Physics concentrating on Cosmology. Recorded February 16, 2009 at Stanford University. This Stanford Continuing Studies course is the fifth of a six-quarter sequence of classes exploring the essential theoretical foundations of modern physics. The

From playlist Lecture Collection | Modern Physics: Cosmology

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The Fourth Dimension - Hypersphere #SoME2

Video was created for submission to Summer of Math Exposition 2 (SoMe2) =============================== CREDITS Music :https://www.youtube.com/watch?v=h_SJmiVLM_g Animation at the start : https://www.youtube.com/watch?v=hDcWqidxvz4 The animations in this video were mostly made with

From playlist Summer of Math Exposition 2 videos

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From Soda Cans to Spheres - Surface Areas | Real World College Math | Study Hall

Whether it’s painting, constructing, wrapping things or even just designing a soda can, understanding surface areas is essential to designing the world around us. And being able to move between two and three dimensions with this type of thinking helps us learn more about the shapes that we

From playlist Real World College Math: College Foundations

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Lecture 22: Exterior Orientation, Recovering Position & Orientation, Bundle Adjustment, Object Shape

MIT 6.801 Machine Vision, Fall 2020 Instructor: Berthold Horn View the complete course: https://ocw.mit.edu/6-801F20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63pfpS1gV5P9tDxxL_e4W8O Today, we focus combining exterior orientation with other photogrammetry techniqu

From playlist MIT 6.801 Machine Vision, Fall 2020

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Volume of a Sphere

More resources available at www.misterwootube.com

From playlist Measuring Further Shapes

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Porque não conseguimos ver para além das três dimensões — Rogério Martins — ICM2018

Portuguese mathematician Rogério Martins is a professor at the University of Lisbon. He is a well-known researcher in Differential Equations and Dynamical Systems. Martins is also the presenter and mastermind of “Isto é Matemática” ("This is Mathematics"), a TV show for the dissemination

From playlist Public Lectures

Related pages

Euclidean geometry | Geodesic | Refractive index | Hyperbolic geometry | Flatland | Sphere | Henri Poincaré | Distance