Mamuka Meskhishvili – New Constants Ass

1. New Constants Associated to Regular Tetrahedron and Cube

Author: Mamuka Meskhishvili New Constants Ass

Abstract:

We consider the points on the sphere with center at the centroid of the regular tetrahedron and the cube. We prove that the sum of the fourth power distances from these points to the vertices, of the regular tetrahedron is constant and, in case of the cube, the sums of the fourth and the sixth power distances are constant too.

Keywords.

Regular tetrahedron, cube, Platonic solid, sphere, centroid, constant sum of the square distances, constant sum of the fourth power distances, constant sum of the sixth power distances.

2010 AMS Classification. 51M04, 51N20, 51N35.

2. New Sense of a Circle  New Constants Ass

Author: Mamuka Meskhishvili

Mamuka Meskhishvili - New Constants Ass

 

3. Diophantine Equations and Congruent Number Equation Solutions

Author: Mamuka Meskhishvili

4. Parametric Solutions for a Nearly-Perfect Cuboid  

Author: Mamuka Meskhishvili

5. Perfect Cuboid and Congruent Number Equation Solutions          

Author: Mamuka Meskhishvili

constant sum of the sixth power distances.

6. A Collection Of Cuboid Parametric Formulas 

Author: Terry Raines

Abstract: All known parametric formulas for nearly PC are given:  Nicholas Saunderson (1740) and Leonhard Euler (1772);   Rignaux (1947);   Andrew Bremner (1988);   Allan J. MacLeod (1991); Norihito Narumiya and Hironori Shiga (2001);   Terry Raines (2004);   Mamuka Meskhishvili (2015);

 

New Constants Ass

In other words, Therefore, consequently, because os this, yes, In conclusion, Regular tetrahedron and cube, and Platonic solid, sphere, centroid, in addition constant sum of the square and and and distances and constant sum of the fourth power distances, similarly, maybe , as a result constant sum of the sixth  power distances. and it seems like and maybe, probably and almost, finally, and probably maybe it seems like, but in thi other hand. so, for the reason that In other words,

therefore  probably you can visit – Contacts

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