Category Archives: Dzhanibekov effect

Meeting with remarkable circles

Posted on 2017/03/14 by arkajad

According to the web site “How stuff works” Our universe is devoid of perfect circles. … Only in the abstract world of pure mathematics can we find our perfect circle — a world of points and infinitely-thin lines with no … Continue reading →

Posted in Attitude matrix, Dzhanibekov effect, Quaternions, Stereographic projection | 6 Comments

Metamorphosis in action

Posted on 2017/03/13 by arkajad

Here is the deal: There are two interlinked circles, like in a chain. You move around one of the circles for half of eternity almost without any change. Almost. Because one day you reach a threshold, there is an action … Continue reading →

Posted in Attitude matrix, Dzhanibekov effect, Mathematica, Quaternions, Stereographic projection | 3 Comments

The mysterious paths on the three-sphere

Posted on 2017/03/12 by arkajad

Wherever you are, whatever you do, there is a certain special direction that takes you out of the infinite labyrinth, and leads to the reincarnation cycle getting closer and closer to the ideal path. Ordinary people do not know about … Continue reading →

Posted in Attitude matrix, Dzhanibekov effect, Moments of inertia, Quaternions, Spin and rotations, Stereographic projection | 2 Comments