Projective Geometry in Kinematics
Detta är en Master-uppsats från Umeå universitet/Institutionen för matematik och matematisk statistik
Sammanfattning: In this thesis, we study projective geometry and show a connection to kinematics. We show how the group of rigid body motions in three-dimensional space can be parameterized on a hyperbolic quadric in a seven-dimensional projective space. We also show that this quadric is a geometry with triality, and we discuss triality from a kinematic viewpoint. Finally, we discuss topics for further research based on this theory.
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