Torus - Alchetron, The Free Social Encyclopedia
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Torus - Alchetron, The Free Social Encyclopedia
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in threedimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. Realworld examples
Feb 24, 2012
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📌A torus is a three-dimensional shape that looks like a doughnut or an inner tube. It is formed by rotating a circle around an axis that lies in the same plane as the circle but does not touch it. This creates a surface with a hole in the middle. The torus is a common shape in geometry and appears in various fields such as physics, engineering, and computer graphics. It has interesting mathematical properties, including a surface that can be described using periodic functions, and it is often u
0:14
📌A torus is a three-dimensional shape that looks like a doughnut or an inner tube. It is formed by rotating a circle around an axis that lies in the same plane as the circle but does not touch it. This creates a surface with a hole in the middle. The torus is a common shape in geometry and appears in various fields such as physics, engineering, and computer graphics. It has interesting mathematical properties, including a surface that can be described using periodic functions, and it is often u
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Do you need to find the volume of a donut, i.e. a torus? 🍩 Just use the Theorem of Pappus! All you need is the area of the generating region and the distance traveled by the region's centroid as it makes one complete revolution. There's even a corresponding formula for the surface area of such objects! Explore away! #math #maths #torus #donut #pappus Background music:
1:50
Do you need to find the volume of a donut, i.e. a torus? 🍩 Just use the Theorem of Pappus! All you need is the area of the generating region and the distance traveled by the region's centroid as it makes one complete revolution. There's even a corresponding formula for the surface area of such objects! Explore away! #math #maths #torus #donut #pappus Background music:
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📌A torus is a three-dimensional shape that looks like a doughnut or an inner tube. It is formed by rotating a circle around an axis that lies in the same plane as the circle but does not touch it. This creates a surface with a hole in the middle. The torus is a common shape in geometry and appears in various fields such as physics, engineering, and computer graphics. It has interesting mathematical properties, including a surface that can be described using periodic functions, and it is often u
0:14
📌A torus is a three-dimensional shape that looks like a doughnut or an inner tube. It is formed by rotating a circle around an axis that lies in the same plane as the circle but does not touch it. This creates a surface with a hole in the middle. The torus is a common shape in geometry and appears in various fields such as physics, engineering, and computer graphics. It has interesting mathematical properties, including a surface that can be described using periodic functions, and it is often u
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The use of the golden ratio in simulations on a torus reveals a fascinating mathematical property: the generation of non-repeating, non-intersecting paths that densely cover a surface without retracing any point... This behavior arises from the golden ratio's irrational nature… Unlike rational numbers, which can be expressed as fractions and eventually cycle through patterns when used in modular arithmetic, irrational numbers like the golden ratio never resolve into repeating decimals… When used
1:01
The use of the golden ratio in simulations on a torus reveals a fascinating mathematical property: the generation of non-repeating, non-intersecting paths that densely cover a surface without retracing any point... This behavior arises from the golden ratio's irrational nature… Unlike rational numbers, which can be expressed as fractions and eventually cycle through patterns when used in modular arithmetic, irrational numbers like the golden ratio never resolve into repeating decimals… When used
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