Real-time physics simulation of pendulum system mechanics in both 2D and 3D

Simulate the motion of nine different pendulum systems in real time on your phone.

Use the simulation as a live wallpaper (to be set from device's settings).

Included systems:

1) Mathematical pendulum (2D): the simplest pendulum.

2) Pendulum wave effect (3D): when multiple pendulums are combined a peculiar wave effect appears.

3) Spherical pendulum (3D): a three-dimensional generalization of the mathematical pendulum.

4) Spring pendulum (2D): a mass connected to a spring.

5) Spring pendulum (3D): a mass connected to a spring in 3D.

6) Double pendulum (2D): the simplest example of a system which exhibits chaotic motion and is highly sensitive to the initial conditions.

7) Double spherical pendulum (3D): a three-dimensional generalization of the double pendulum.

8) Spring mathematical pendulum (2D): a rod attached to a spring.

9) Spring spherical pendulum (3D): a rod attached to a spring in 3D.

Features:

- All simulations are performed in real time by numerically solving the Lagrange equations of motion.

- Use the accelerometer of your device for dynamical determination of the gravity force.

- Take into the account the friction force to see the damping of the pendulum motion (recommended when using sensor gravity).

- Use your fingers to interactively change the positions of the pendulums.

- Use pinch to zoom gesture.

- All of the parameters for each system can be modified in the preferences.

Acknowledgements:

OpenGL tutorials at http://www.learnopengles.com/

ColorPickerView library at https://github.com/danielnilsson9/color-picker-view

Source code of the app is available at https://github.com/vlvovch/pendulum-studio