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thomson-gradient-descent's Introduction

thomson-gradient-descent

Gradient descent for Module 4 Project 1 of Multivariable Calculus.

Problem Statement

Consider five points, A1, A2, A3, A4 and A5 on a unit sphere, centered at O. What configuration of these points maximizes the minimum central angle AiOAj for any i and j? Can you generalize to the situation where there are N points? How might this problem be related to the classical Thomson problem, described in the following two articles?

Usage

After download repository, to install packages run npm install.

To set the number of points to optimize for, open js/main.js, and change the variable of the num_bodies variable to desired integer.

To run the simulation, run npm start. The visualization will most likely run at localhost:5000.

Contributors

Code developed by Brandon Cho and Nikhil Patel.

thomson-gradient-descent's People

Contributors

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