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This lecture discusses the analysis of interference patterns created by a device with six slits, focusing on the relation between the width of the slits and the distance between them. By decomposing the interference pattern into two parts and understanding the diffraction patterns, the instructor demonstrates how to determine this relation by examining the resulting pattern. Through mathematical expressions and graphical representations, the lecture illustrates the periodic nature of the interference pattern and the significance of the distances between peaks and minima. By applying the convolution of the patterns, the instructor shows how to relate the width of the slits to the distances in the interference pattern, leading to the final answer of 0.1 micrometer.