Category Archives: Stereographic projection

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

Another geodesic line

Posted on 2017/03/11 by arkajad

Saturday. It was warm and sunny. Went for a bicycle raid. Working on generating the exceptional geodesic for d=0.5. But, until that is ready, I have made another geodesic line on the three-sphere, this time for d=0.4999999 and 180 degrees … Continue reading →

Posted in Attitude matrix, Quaternions, Stereographic projection | 4 Comments

Obsessed with geodesics

Posted on 2017/03/10 by arkajad

I can’t help it. I am obsessed with geodesics. Quoting from Encyclopedia of Mathematics: The notion of a geodesic line (also: geodesic) is a geometric concept which is a generalization of the concept of a straight line (or a segment … Continue reading →

Posted in Attitude matrix, Quaternions, Stereographic projection | 4 Comments