This is akin to what G Cantor found inside the fractions......from zero to one..........that there were an infinite amount of points............like the harmonic series........the numerator is always 1........but the denominator.....the number on the bottom.......u CAN always add one or two......or whatever.............it is infinite..........inside the finite....

Chaos theory.....when B. Mandel.......and others.........measured the actual length of a coastline....of an island.....or a country.............the tons of ebbs and bays.......the way the thing is curved......with an ever more finer measuring stick......they found it goes towards infinity........how many grains of sand are on the beach........if u let that be your measuring stick...............well, there are just too many to count....

Coastline paradox - Wikipedia

https://en.wikipedia.org/wiki/Coastline_paradox

The coastline paradox is the counterintuitive observation that the coastline of a landmass does ... Thus the concept of an infinite fractal is not applicable to the coastline. ... Jump up ^ Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Chaos and ... Fractal landscape · Lévy flight · Percolation theory · Self-avoiding walk.

Chaos theory - Wikipedia

https://en.wikipedia.org/wiki/Chaos_theory

Chaos theory is a branch of mathematics focused on the behavior of dynamical systems that ..... Statistical self-similarity and fractional dimension", showing that a coastline's length varies with the scale of the ... instrument, resembles itself at all scales, and is infinite in length for an infinitesimally small measuring device.

‎Lorenz system · ‎Double pendulum · ‎Dynamical system · ‎Chaos game

What is Chaos Theory? – Fractal Foundation

fractalfoundation.org › Explore Fractals

Chaos is the science of surprises, of the nonlinear and the unpredictable. ... Fractals are infinitelycomplex patterns that are self-similar across different scales. ... For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, ...

Nietzsche's Butterfly: An Introduction to Chaos Theory | Student Voices ...

www.nature.com/scitable/blog/student.../nietzsches_butterfly_an_introduction_to

Sep 4, 2013 - Chaos theory was immortalized in fiction by "The Sound of Thunder," a .... If the ruler were infinitesimally small, the coastline would be infinitely ...

Chaos Theory and Fractals - tnellen.com

www.tnellen.com/alt/chaos.html

A page explaining the history of chaos as well as chaos and fractals. ... Mandelbrot Set; More Complex Fractals; Chaos Theory and Fractal Links; Works Cited .... It is impossible to measure to infiniteprecision, but until the time of Poincaré, the ... found nearly everywhere in nature, at places such ascoastlines, mountains, ...