The Constants in Cosmic Prime Harmonics and their connection with Spirals
What is the connection between cosmic geometry and prime numbers? Pi is in cosmic geometry and prime numbers:
The result we need is Pi is hiding in prime regularities. This is by far the most important mathematical phenomenon in cosmometry - Pi hiding in prime regularities - https://www.youtube.com/watch?v=NaL_Cb42WyY
Prime numbers connects pi with spiral patterns which are mathematically strewn throughout the universe,
The connection between spiral patterns and prime numbers: Why do prime numbers make these spirals? - https://www.youtube.com/watch?v=EK32jo7i5LQ
Plotting prime numbers in polar coordinates produce these 2 patterns. Comparison between 5,000 and 50,000 prime numbers plotted in polar coordinates:
Discussion: What is Special in Euler's identity ( e^ipi +1=0)? - https://www.researchgate.net/post/What-is-Special-in-Eulers-identity-e-ipi-10
e can be expressed as an infinite series: https://en.wikipedia.org/wiki/List_of_representations_of_e
Discussion: What is Special in Euler's identity ( e^ipi +1=0)? - https://www.researchgate.net/post/What-is-Special-in-Eulers-identity-e-ipi-10
The number e can be expressed as the sum of the following infinite series:
- for any real number x.
In the special case where x = 1 or −1, we have:
- ,[4] and
Other series include the following:
The Most Beautiful Theorem in Mathematics: Euler’s Identity - https://medium.com/however-mathematics/the-most-beautiful-theorem-in-mathematics-eulers-identity-19d89370803e
..the
formula also had relationships with the trigonometric functions sine
and cosine.. While the exponential function goes
to infinity, trigonometric functions were oscillating between 1 and -1.
e to the power of i times ϕ (phi) = cos ϕ (phi) + sin ϕ (phi)
Unveiling the Mandelbrot set: https://plus.maths.org/content/unveiling-mandelbrot-set
A Statistical Investigation of the Area of the Mandelbrot
Set - https://www.fractalus.com/kerry/articles/area/mandelbrot-area.html
A Statistical Investigation of the Area of the Mandelbrot Set - https://www.fractalus.com/kerry/articles/area/mandelbrot-area.html
