vjeux/billiards

billiards

TypeScript

billiards

Unsophisticated billiards physics.

Demo

In browser WebGL demo

⇦ ⇨ Aim

Control ⇦ ⇨ Fine aim

⇧ ⇩ Topspin and backspin

Shift ⇦ ⇨ Side spin

Space Hit - hold for more power

Diagrams

Inspect physics using diagrams

Setup

nvm use v10.18.0
yarn install
yarn dev

Test

yarn test
yarn coverage
yarn server
yarn deps
yarn upgrade -L
yarn prettify

Reference

3D graphics uses three.js

Papers on ball mechanics, cushions and max spin simulation 1 2 3

Inline LaTeX editor

Key equations

surface velocity 📃

rolling motion 📃

sliding motion 📃

cushion bounce 📃

$\dot{v}_{x} = -v_{x0}(\frac{2}{7}sin^2\theta_{a} + (1+e)cos^2\theta_{a})-R\omega_{y0}sin\theta_{a}$

$\dot{v}_{y} = \frac{2}{7}v_{y0}+\frac{2}{7}R(\omega_{x0}sin\theta_{a} - \omega_{z0}cos\theta_{a}) - v_{y0}$

$\dot{\omega_x} = \frac{5S_y_0}{2mRA}sin\theta_a$

$\dot{\omega_y} = \frac{5}{2mR}\Big(\frac{-S_x_0}{A} + sin\theta_a \frac{C_0}{B}(1+e)(cos\theta_a-sin\theta_a)\Big)$

$\dot{\omega_z} = \frac{5S_y_0}{2mRA}cos\theta_a$

Progress snapshots

July 2018

July 2019