神奇立方体的观察
神奇立方体的观察
飞麦 <fitmap@qq.com> 2022-10-13
关于神奇立方体的生成，参见 https://www.cnblogs.com/fitmap/p/16782603.html
首先发现神奇立方体的每个面，都是中心对称的，即[y][x]==[63-y][63-x]。
其次观察发现，每行的字符序列，在每个面都会出现，只是行序不同。
另外观察发现，每行的大写字母或小写字母，要么全在左边，要么全在右边。
再仔细观察面，发现面是经过一定的规律从第一行展开而成。
首先第1行，特意将大写字母、0~4、+排在前32字符，小写字母、5~9、/排在后32字符。
ABCDEFGHIJKLMNOPQRSTUVWXYZ01234+abcdefghijklmnopqrstuvwxyz56789/
第1行每8列一组，奇数顺序的一组与偶然顺序的一组交换，形成第2行：
ABCDEFGHIJKLMNOPQRSTUVWXYZ01234+abcdefghijklmnopqrstuvwxyz56789/
IJKLMNOPABCDEFGHYZ01234+QRSTUVWXijklmnopabcdefghyz56789/qrstuvwx
前2行每16列一组，奇数顺序的一组与偶然顺序的一组交换，形成第3、4行：
ABCDEFGHIJKLMNOPQRSTUVWXYZ01234+abcdefghijklmnopqrstuvwxyz56789/
IJKLMNOPABCDEFGHYZ01234+QRSTUVWXijklmnopabcdefghyz56789/qrstuvwx
QRSTUVWXYZ01234+ABCDEFGHIJKLMNOPqrstuvwxyz56789/abcdefghijklmnop
YZ01234+QRSTUVWXIJKLMNOPABCDEFGHyz56789/qrstuvwxijklmnopabcdefgh
前4行每32列一组，奇数顺序的一组与偶然顺序的一组交换，形成第5、6、7、8行：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每1列每8行一组，奇数顺序的一组与偶然顺序的一组交换，形成第9~16行：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注：只标记了前2列，后面的每2列模式均与前2列一致，不再另行标记。
每2列每16行一组，奇数顺序的一组与偶然顺序的一组交换，形成第17~32行：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注：只标记了前4列，后面的每4列模式均与前4列一致，不再另行标记。
每4列每32行一组，奇数顺序的一组与偶然顺序的一组交换，形成第33~64行：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注：只标记了前8列，后面的每8列模式均与前8列一致，不再另行标记。
以上为第1个面的情况，其它63个面也是同样的模式，只是第1行选取第1面的某1行。
这个立方体，可能还有很多神奇的地方，留待大家去探索发现。
