Spheres

The definition: A spherical neighborhood of a point is itself open-a-Euclidean Space in one dimension is a finite interval-Euclidean in two dimensions is a circle and Euclidean in 3-Dimensions and spheres- The blog looks the sphere in Euclidean-Geometry, non-Euclidean geometry, like sphere in a sphere or hyperbole for example, using differential geometry, topology and algebraic topology

Monday, December 30, 2024

Cauchy


 

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Sunday, November 24, 2024

Continuous

 


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Saturday, October 26, 2024

Complex Power Expansion in O


 

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Thursday, September 26, 2024

Extended in C plane

 


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Monday, August 26, 2024

3-Volume

 


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Saturday, July 27, 2024

A cup at 3-Dimensions

 


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Monday, May 27, 2024

Parametrize unit Sphere


 

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Friday, April 26, 2024

Cup as Torus II


 

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Sunday, March 31, 2024

A cup as torus Part I



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Thursday, February 29, 2024

Triangle Inequality


 

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Saturday, January 20, 2024

Smooth Path


 

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