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Explore barycentric coordinates and subtractive arithmetic of vectors in this 34-minute lecture from the Algebraic Calculus and de Casteljau Bezier curves series. Delve into a consistent arithmetic of affine points and vectors based on recent research. Discover how this arithmetic serves as a valuable tool for understanding the geometry of de Casteljau Bezier polygons and their associated curves. Gain insights into universal geometry, extending concepts to relativistic geometry and finite fields. Access additional resources, including research papers and course materials, to deepen your understanding of this advanced mathematical topic.
