Title: Bivectors and Attractors Post by: Graph on April 15, 2015, 06:27:32 PM If someone of you is interestet in Geometric Algebra. I played with „Simple Bivectors“ and so I would like to propose a simple model which uses bivectors and provide a wide variety of attractors. The executable Java program „Attractor.jar“ shows the specific dynamic behavior of the n-dimensional structures.
The algorithm is based on a pair of points in the Euclidean space. The one point of this pair is moved iteratively by a unit vector and the second point by the antiparallel unit vector. The distance of the parallels is constant on which the two points are moved. So the center of mass and the torque of the pair of points remain constant. The distance vector between the two points and the unit vector are spanning a simple bivector in the space with a constant area („Bivector.pdf“). The file „SelfOrganization.zip“ in http://www.fractalforums.com/new-theories-and-research/self-organization-of-vectors-(2)/msg78721/#msg78721 describes the algorithm in detail. Title: Re: Bivectors and Attractors Post by: jehovajah on April 23, 2015, 10:09:50 AM Hiya Graph.
Got any screen shots or pictures? Title: Re: Bivectors and Attractors Post by: Chillheimer on April 23, 2015, 12:18:40 PM i found it fun to play with, definitely worth a try. a still screenshot of course doesn't show the interesting movements |