Topology

1307 Submissions

[2] viXra:1307.0036 [pdf] replaced on 2015-08-17 09:10:45

The Topology of Number Line

Authors: Vyacheslav Telnin
Comments: 8 Pages.

This paper deals with the number line. Usually it is considered as one-dimensional object. But if to take into account the infinite large and the infinite little numbers, then this line turns out to be more complex object with infinite self-crossings in some many-dimensional space.
Category: Topology

[1] viXra:1307.0010 [pdf] submitted on 2013-07-02 11:23:51

Qi Men Dun Jia and the Golden Section

Authors: John Frederick Sweeney
Comments: 34 Pages.

Qi Men Dun Jia is based on the Clifford Clock, as well as an icosahedron. The purpose of the icosahedron relates to the Pisano Period, which has a limit of 60, or the periodicity of Fibonacci Numbers and the Fibonacci Spiral, which are related to the Golden Ratio and the Platonic Solids. In addition, the icosahedron forms an isomorphic relationship to the 60 Jia Zi and 60 Na Yin of Chinese metaphysics, which provide the entry point for the Five Elements into the formation of matter. The icosahedron is composed of three Golden Rectangles and is edged in the Golden Ratio. The three Golden Rectangles are directly related to three Fano Planes, which are composed of Octonions. Taken together, the Pisano Period, Fibonacci Numbers and the Golden Section outline the path of growth of matter in the universe. Trigonometric, elliptic and Jacobi functions lend the model additional types of periodicity. By following this natural order, the Qi Men Dun Jia model is capable of making accurate predictions about natural and human phenomena, which can be replicated by other analysts.
Category: Topology