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Let S be a cube. Compute the number of planes which pass through at least 3 vertices of S

 Jan 28, 2022
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There are three kinds of planes: the six cube faces, the six that pass through 4 points (opposite edges), and the eight that pass through only 3 vertices, for a total of 6 + 6 + 8 = 20.

 Jan 29, 2022

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