VMI Chaos Movie Theater

The Chaos Movie Theater

Animations of chaotic attactors in 3D from the Visual Math Institute, by Ralph H. Abraham.

3D images of the standard Rossler attractor

Created with HTML5, CSS3, JavaScript, and THREE.js.
Vertex and hue data precomputed by NetLogo3D.
NOTE: If Safari is your browser, you will have to enable WebGL in order to view these.
Step #1: Safari -> Preferences -> Advanced: Click at bottom, "Show Develop menu in menu bar"
Step #2: Safari -> Develop: Click at bottom, "Enable WebGL"
With Firefox, Google Chrome, or Opera, no fiddle is required.

Version #1a / #1b reports auto-revolution rates:

Safari 6.1.2: 6/10 fps
Firefox 32.0.3: 7/7 fps
Google Chrome 32.0.2062,12: 6/3 fps
Opera 24.0: 6/4 fps

#1. The Rossler attractor rotating about the Z-axis A = 0.2, B = 0.2, C = 5.7 (as usual). Color codes for speed, from blue (zero) to red (maximum). Euler intergration, sim time = 25 (5000 steps of time-step = 0.005). File size: 446 KB, will be downloaded from the server. Posted 24 August, 2014 #1a. The Rossler attractor rotating about the Z-axis Same as #1, with a speedometer in the upper left corner. Posted 03 October, 2014 #1b. The Rossler attractor rotating about the Z-axis Same as #1a, rendered with dots but no lines. Posted 12 October, 2014 #2. The Rossler attractor rotating about the Z-axis A = 0.2, B = 0.2, C = 5.7 (as usual). Color codes for speed, from blue (speed=0, hue=0.7) to red (speed=maximum, hue=0.2). Euler intergration, sim time = 250 (50,000 steps of time-step 0.005). File size: 4.2 MB, will be downloaded from the server (takes time, and rotation may be slowed). Posted 24 August, 2014 #2a. The Rossler attractor rotating about the Z-axis Same as #2, with a speedometer in the upper left corner. Posted 03 October, 2014 #3. The Rossler attractor rotating about the Z-axis Same as #1, but with addition of a sprite that moves along the trajectory Posted 20 September, 2014 #3a. The Rossler attractor rotating about the Z-axis Same as #3, with a speedometer in the upper left corner. Posted 03 October, 2014 #4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: A = 0.2, B = 0.2, C = 5.7 (as usual).; Color codes for speed, from blue (zero) to red (maximum).; Euler intergration, sim time = 25 (5000 steps of time-step = 0.005).; File size: 446 KB, will be downloaded from the server.; Posted 24 August, 2014
#1a. The Rossler attractor rotating about the Z-axis Same as #1, with a speedometer in the upper left corner. Posted 03 October, 2014 #1b. The Rossler attractor rotating about the Z-axis Same as #1a, rendered with dots but no lines. Posted 12 October, 2014 #2. The Rossler attractor rotating about the Z-axis A = 0.2, B = 0.2, C = 5.7 (as usual). Color codes for speed, from blue (speed=0, hue=0.7) to red (speed=maximum, hue=0.2). Euler intergration, sim time = 250 (50,000 steps of time-step 0.005). File size: 4.2 MB, will be downloaded from the server (takes time, and rotation may be slowed). Posted 24 August, 2014 #2a. The Rossler attractor rotating about the Z-axis Same as #2, with a speedometer in the upper left corner. Posted 03 October, 2014 #3. The Rossler attractor rotating about the Z-axis Same as #1, but with addition of a sprite that moves along the trajectory Posted 20 September, 2014 #3a. The Rossler attractor rotating about the Z-axis Same as #3, with a speedometer in the upper left corner. Posted 03 October, 2014 #4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: Same as #1, with a speedometer in the upper left corner.; Posted 03 October, 2014
#1b. The Rossler attractor rotating about the Z-axis Same as #1a, rendered with dots but no lines. Posted 12 October, 2014 #2. The Rossler attractor rotating about the Z-axis A = 0.2, B = 0.2, C = 5.7 (as usual). Color codes for speed, from blue (speed=0, hue=0.7) to red (speed=maximum, hue=0.2). Euler intergration, sim time = 250 (50,000 steps of time-step 0.005). File size: 4.2 MB, will be downloaded from the server (takes time, and rotation may be slowed). Posted 24 August, 2014 #2a. The Rossler attractor rotating about the Z-axis Same as #2, with a speedometer in the upper left corner. Posted 03 October, 2014 #3. The Rossler attractor rotating about the Z-axis Same as #1, but with addition of a sprite that moves along the trajectory Posted 20 September, 2014 #3a. The Rossler attractor rotating about the Z-axis Same as #3, with a speedometer in the upper left corner. Posted 03 October, 2014 #4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: Same as #1a, rendered with dots but no lines.; Posted 12 October, 2014
#2. The Rossler attractor rotating about the Z-axis A = 0.2, B = 0.2, C = 5.7 (as usual). Color codes for speed, from blue (speed=0, hue=0.7) to red (speed=maximum, hue=0.2). Euler intergration, sim time = 250 (50,000 steps of time-step 0.005). File size: 4.2 MB, will be downloaded from the server (takes time, and rotation may be slowed). Posted 24 August, 2014 #2a. The Rossler attractor rotating about the Z-axis Same as #2, with a speedometer in the upper left corner. Posted 03 October, 2014 #3. The Rossler attractor rotating about the Z-axis Same as #1, but with addition of a sprite that moves along the trajectory Posted 20 September, 2014 #3a. The Rossler attractor rotating about the Z-axis Same as #3, with a speedometer in the upper left corner. Posted 03 October, 2014 #4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: A = 0.2, B = 0.2, C = 5.7 (as usual).; Color codes for speed, from blue (speed=0, hue=0.7) to red (speed=maximum, hue=0.2).; Euler intergration, sim time = 250 (50,000 steps of time-step 0.005).; File size: 4.2 MB, will be downloaded from the server (takes time, and rotation may be slowed).; Posted 24 August, 2014
#2a. The Rossler attractor rotating about the Z-axis Same as #2, with a speedometer in the upper left corner. Posted 03 October, 2014 #3. The Rossler attractor rotating about the Z-axis Same as #1, but with addition of a sprite that moves along the trajectory Posted 20 September, 2014 #3a. The Rossler attractor rotating about the Z-axis Same as #3, with a speedometer in the upper left corner. Posted 03 October, 2014 #4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: Same as #2, with a speedometer in the upper left corner.; Posted 03 October, 2014
#3. The Rossler attractor rotating about the Z-axis Same as #1, but with addition of a sprite that moves along the trajectory Posted 20 September, 2014 #3a. The Rossler attractor rotating about the Z-axis Same as #3, with a speedometer in the upper left corner. Posted 03 October, 2014 #4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: Same as #1, but with addition of a sprite that moves along the trajectory; Posted 20 September, 2014
#3a. The Rossler attractor rotating about the Z-axis Same as #3, with a speedometer in the upper left corner. Posted 03 October, 2014 #4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: Same as #3, with a speedometer in the upper left corner.; Posted 03 October, 2014
#4. The Rossler attractor, non-rotating Same as #3, but camera view controlled by your mouse or touch: Orbit - left mouse / touch: one finger move Zoom - middle mouse, or mousewheel / touch: two finger spread or squish Pan - right mouse, or arrow keys / touch: three finger swipe Posted 25 September, 2014: Same as #3, but camera view controlled by your mouse or touch:

Orbit - left mouse / touch: one finger move
Zoom - middle mouse, or mousewheel / touch: two finger spread or squish
Pan - right mouse, or arrow keys / touch: three finger swipe; Posted 25 September, 2014

Revised 17 October 2014 by Ralph Abraham. <abraham@vismath.org>