Chaotic Itinerary but Regular Pattern

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Mark three points on a sheet of paper to form a triangle. Use a die to let you pick one of these vertices randomly. Start the path by picking an arbitrary point—the current point—on the sheet and roll the die. Consider the segment between the current point and the random vertex obtained with the die and mark a dot exactly in the middle of this segment. This dot is the new current point. Roll the die again and repeat the operation. You will obtain a chaotic path, but the points drawn form a regular pattern.

Contributed by: Bernard Vuilleumier (March 2011)
Open content licensed under CC BY-NC-SA




Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.