{"id":29670,"date":"2023-01-09T19:13:37","date_gmt":"2023-01-09T13:43:37","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-find-all-possible-magic-squares-3x3-python\/"},"modified":"2023-01-09T19:13:37","modified_gmt":"2023-01-09T13:43:37","slug":"solved-find-all-possible-magic-squares-3x3-python","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-find-all-possible-magic-squares-3x3-python\/","title":{"rendered":"[Solved] Find all possible magic squares (3×3) python"},"content":{"rendered":"

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I’ll leave finding out how to generate a magic square as an exercise. If you’re still having trouble with it, you can find other questions on StackOverflow about how to generate a magic square of a given size in Python.<\/p>\n

Once you have your 3×3 magic square magic(3)<\/code> (as a numpy ndarray), you can obtain all of the possible magic squares of that size by performing all of the possible rotations and reflections on it:<\/p>\n

rotations = [np.rot90(magic(3), x) for x in range(4)]\nreflections = [np.flip(x, 1) for x in rotations]\nall_magic_3x3 = rotations + reflections\n<\/code><\/pre>\n
This produces a list containing the following 8 magic 3×3 matrices:<\/p>\n
[[8 1 6]\n [3 5 7]\n [4 9 2]]\n\n[[6 7 2]\n [1 5 9]\n [8 3 4]]\n\n[[2 9 4]\n [7 5 3]\n [6 1 8]]\n\n[[4 3 8]\n [9 5 1]\n [2 7 6]]\n\n[[6 1 8]\n [7 5 3]\n [2 9 4]]\n\n[[2 7 6]\n [9 5 1]\n [4 3 8]]\n\n[[4 9 2]\n [3 5 7]\n [8 1 6]]\n\n[[8 3 4]\n [1 5 9]\n [6 7 2]]\n<\/code><\/pre>\n<\/p><\/div>\n
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solved Find all possible magic squares (3×3) python <\/p>\n","protected":false},"excerpt":{"rendered":"
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Once you have your 3×3 magic square magic(3) (as a numpy ndarray), you can … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[3114,349],"class_list":["post-29670","post","type-post","status-publish","format-standard","hentry","category-solved","tag-magic-square","tag-python"],"yoast_head":"\n[Solved] Find all possible magic squares (3x3) python - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-find-all-possible-magic-squares-3x3-python\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Find all possible magic squares (3x3) python - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] I’ll leave finding out how to generate a magic square as an exercise. 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