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Home » Lowest power of 7: \( 7^1 \) - AMAZONAWS

Lowest power of 7: \( 7^1 \) - AMAZONAWS

📅 March 11, 2026 👤 scraface
Mar 11, 2026
Lowest power of 7: \( 7^1 \)

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📌 Solution: A regular octahedron has six vertices, with pairs at $ (\pm1, 0, 0) $, $ (0, \pm1, 0) $, and $ (0, 0, \pm1) $. Given three vertices, the missing vertex must be $ (0, 0, 1) $ or $ (0, 0, -1) $. Since the problem specifies integer coordinates, both are valid, but the fourth vertex (completing the octahedron) is $ (0, 0, 1) $.
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