Category Archives: Stereographic projection

Circles of eternal return

Posted on 2017/03/17 by arkajad

Let me recall the particular trajectory that we are discussing. In fact the particular part of this particular trajectory where the flip occurs. Click on the image to open gif animation. It will take time to load as it is … Continue reading →

Posted in Attitude matrix, Dzhanibekov effect, Euler's equations, Quaternions, Stereographic projection | 1 Comment

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