Natural Phenomena Incorporating The Secret of Synchronization
Natural Phenomena Incorporating The Secret of Synchronization
The video above depicts the phenomenon of resonance. In 1940, the Tacoma Narrows Bridge swung to the rhythm of the gale until it succumbed and crashed into the river: https://www.flixxy.com/bridge-vibration-testing-resonance.htm
YouTube: Introduction to complexity: Fractal Dimension Part 4 - 7 minute video: - https://m.youtube.com/watch?v=
For the Koch curve _/\_ ,
r is 1 2 3
____
_/\_
N is 1234
r=3 length, N=4 number of divisions
With r=3 and N=4, we use the formula r^D=N
Applying natural logarithms on both sides, we get Dlog(r)=log(N)
D=log(N)/log(r)
Plugging in r=3 and N=4,
D=log 4/log 3 ~ 1.26
Indices - Law of Indices - An Introduction
https://mathematics.laerd.com/
D
is dimension. D can be intuitively said to be the "density of detail"
of an object. Fractal dimension qualifies how much detail you can see at
all scales.
The realm of natural phenomena amplifies wave propagation exponentially.
Narrows Bridge Collapse With Sound Rare - YouTube
https://m.youtube.com/watch?v=
The Secret of Synchronization - YouTube
https://m.youtube.com/watch?v=
The Big Picture perspective: A Grand Cosmic Resonance: How the Structure and Comprehensibility of the Universe Reveal a Mindful Maker - https://www.equip.org/article/a-grand-cosmic-resonance/
References:
Fractal Solutions to The Long Wave Equations 2003 - Harman Ajiwibowo - https://ir.library.oregonstate.edu/downloads/2v23vx166
Unraveling the origin of exponential law in intra-urban human mobility - https://www.nature.com/articles/srep02983