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[4] viXra:1903.0566 [pdf] submitted on 2019-03-31 15:59:03
Authors: Saburou Saitoh
Comments: 19 Pages. In this paper, we will introduce the division by zero calculus in triangles and trigonometric functions as the first stage in order to see the elementary properties.
In this paper, we will introduce the division by zero calculus in triangles and trigonometric functions as the first stage in order to see the elementary properties.
Category: Geometry
[3] viXra:1903.0244 [pdf] submitted on 2019-03-12 10:13:23
Authors: Antoine Balan
Comments: 2 pages, written in english
We propose a 3-form in differential geometry which depends only of a connection over the tangent fiber bundle.
Category: Geometry
[2] viXra:1903.0241 [pdf] submitted on 2019-03-12 13:24:51
Authors: Abdelmajid Ben Hadj Salem
Comments: 10 Pages.
In this note, we give an application of the Method of the Repère Mobile to the Ellipsoid of Reference in Geodesy using a symplectic approach.
Category: Geometry
[1] viXra:1903.0023 [pdf] submitted on 2019-03-01 09:40:43
Authors: Helmut Söllinger
Comments: 10 Pages. language: German
The paper analyses the issue of optimised packaging of spheres of the same size. The question is whether a linear packaging of spheres in the shape of a sausage or a spatial cluster of spheres can minimise the volume enveloping the spheres. There is an assumption that for less than 56 spheres the linear packaging is denser and for 56 spheres the cluster is denser, but the question remains how a cluster of 56 spheres could look like. The paper shows two possible ways to build such a cluster of 56 spheres. The author finds clusters of 59, 62, 65, 66, 68, 69, 71, 72, 74, 75, 76, 77, 78, 79 and 80 spheres - using the same method - which are denser than a linear packaging of the same number and gets to the assumption that all convex clusters of spheres of sufficient size are denser than linear ones.
Category: Geometry
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