fractals

3 posts

A not-so-random walk through random walks

8 min read
Scicomm animal foraging Brownian bridge Brownian motion cellular automata Conway's Game of Life fractals gamma distribution Gaussian distribution heavy tail John Conway Langton's ant Lévy flight probability distribution function random walk random walk hypothesis resistor networks Sierpienski triangle statistical properties stochastic processes Wiener process

Though I’ve been interested of late with the idea of random walks, I was introduced to the concept when, more than two decades ago, I stumbled across Conway’s Game of Life, the cellular automaton buil…

The symmetry incarnations

10 min read
Scicomm anastomosis asymptote Banach-Tarski paradox Big Bang Theory cellular automata degrees of freedom electro-weak symmetry breaking fractals Gilbreath's conjecture hypercube Large Hadron Collider Mandelbrot sets Mulliken symbols Nambu-Goldstone bosons prime numbers surface tension symmetry thermodynamics V.S. Ramachandran

This post was originally published on October 6, 2012. I recently rediscovered it and decided to republish it with a few updates. Geometric symmetry in nature is often a sign of unperturbedness, as i…

The Symmetry Incarnations - Part I

11 min read
Uncategorized anastomosis asymptote Banach-Tarski paradox Big Bang Theory cellular automata degrees of freedom electro-weak symmetry breaking fractals Gilbreath's conjecture hypercube Large Hadron Collider Mandelbrot sets Mulliken symbols Nambu-Goldstone bosons prime numbers surface tension symmetry thermodynamics V.S. Ramachandran

Symmetry in nature is a sign of unperturbedness. It means nothing has interfered with a natural process, and that its effects at each step are simply scaled-up or scaled-down versions of each other. F…