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📰 Question: A museum curator catalogs a 3D artifact with three vertices of a regular octahedron at $ (1, 0, 0) $, $ (-1, 0, 0) $, and $ (0, 1, 0) $. Find the coordinates of the fourth vertex, given all coordinates are integers. 📰 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) $. 📰 \boxed{(0, 0, 1)} 📰 Big Blonde Irresistible Watch Him React To Her Stunning Curves 4695189 📰 How One Fatal Forwarding Mistake Unlocked A Never Ending Fortune 8775696 📰 Intrathecal Administration 5735603 📰 Get Your Oracle Database Sql Certification Fastproven Strategies You Cant Ignore 2656219 📰 Finally The Oracle Database Client Software That Saves You Time Moneytry It Today 9250039 📰 Qdoba Calories 6746750 📰 Actor Jeremy Sheffield 8535747 📰 Balloons Td The Eye Catching Trend Taking Over Every Party Like Never Before 4723808 📰 30 Amp Wire Size The Hidden Danger Of Using The Wrong Gauge Fix It Before Its Too Late 6329434 📰 Fios Wi Fi Extender 9699294 📰 Creditos Hipotecarios 6284482 📰 Kash Patels Girlfriend 3008783 📰 These 7 Good Friday Quotes Are So Powerful Theyll Make You Cry Dont Miss Them 5771631 📰 Max And Rubys Magic Moment That Will Change Everythingmagic Possible 8822953 📰 Why Hiring Agencies Slip Hipaa Rules The Hidden Law Enforcement Exception You Need To Know 8021489