標題:
發問:
What is the maximum number of circle of radius 1cm can be drawn inside a 5cm x 5cm square? 更新: and a 12cm x 12cm square?
最佳解答:
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/packingproblem/circlespackinsquare9.jpg 參考資料： my wisdom of maths + research from http://www2.stetson.edu/~efriedma/cirinsqu + http://en.wikipedia.org/wiki/Circle_packing_in_a_square + http://hydra.nat.uni-magdeburg.de/packing/csq/csq.html + http://hydra.nat.uni-magdeburg.de/packing/csq/d3.html + http://hydra.nat.uni-magdeburg.de/packing/csq/d5.html + http://hydra.nat.uni-magdeburg.de/packing/csq/d6.html
其他解答:
5x5 square = maximum 4 circles because the diameter of the circle is 2, each row can only have 2 circles and there can only be 2 rows similarly, 12x12 square has at most 36 circles of such size 2012-02-01 20:43:38 補充： if it allows overlapping, 5x5 square has at most 16 circles 12x12 square has at most 121 circles
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Simple Math發問:
What is the maximum number of circle of radius 1cm can be drawn inside a 5cm x 5cm square? 更新: and a 12cm x 12cm square?
最佳解答:
圖片參考：http://i212.photobucket.com/albums/cc82/doraemonpaul/yahoo_knowledge/packingproblem/circlespackinsquare9.jpg 參考資料： my wisdom of maths + research from http://www2.stetson.edu/~efriedma/cirinsqu + http://en.wikipedia.org/wiki/Circle_packing_in_a_square + http://hydra.nat.uni-magdeburg.de/packing/csq/csq.html + http://hydra.nat.uni-magdeburg.de/packing/csq/d3.html + http://hydra.nat.uni-magdeburg.de/packing/csq/d5.html + http://hydra.nat.uni-magdeburg.de/packing/csq/d6.html
其他解答:
5x5 square = maximum 4 circles because the diameter of the circle is 2, each row can only have 2 circles and there can only be 2 rows similarly, 12x12 square has at most 36 circles of such size 2012-02-01 20:43:38 補充： if it allows overlapping, 5x5 square has at most 16 circles 12x12 square has at most 121 circles
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