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Explore the principles and techniques for designing optimal discrete magnetic coils using Wolfram Language in this 28-minute video presentation. Delve into the importance of precise magnetic fields across various applications and learn about an alternative approach to generating high-quality fields through the optimization of multiple sets of simple, discrete coil primitives. Discover how spherical harmonic mapping can be used to create compact and easily fabricable coil designs. Gain insights into the optimization process, leveraging Wolfram Language's built-in root-finding and visualization capabilities for designing and analyzing precise magnetic fields. Examine the CreateCoil paclet, which offers a set of functions for designing optimal loop-, saddle-, and ellipse-based coils, as well as inspecting the magnetic fields they generate.