Magic Dodecahedron (Megaminx)：编程玩五边形12面魔方

Megaminx有12个5次轴，从空间分布看，和足球C60的5次轴一模一样，和谢赫德曼20面准晶体的5次轴一模一样。需要强调的是，C60和谢赫特曼的20面准晶体模型有只6个五次轴。

然而对于Megaminx，一个轴有两个“箭头”，因此，共有12个5次轴。我用W、A、B、C、D、E、S、H、G、F、N、M表示Megaminx的12个面，每个面上有个5次轴。

用计算机玩Megaminx，**要有数学模型，然后是编程算法，*后是编程技巧。如果硬要归类的话，俺干的活，可以归类到几何代数学。

普通3阶魔方，可运动的小块有20个：8个角块和12个心块。

Megaminx，有50个可运动的小块：20个角块，30个边块。

Megaminx的12个面，可转动的角度有：72度、144度、216度、288度。用1、2、3、4分别表示72度、144度、216度、288度，对于只操作某个面，转动5之后，Megaminx就回复到原始状态。

如果你有个Megaminx，转动某个面，例如W面，容易验证：

(W1)5=I；(W2)5=I；(W3)5=I；(W4)5=I。

对于Rubik魔方，同样转动某面（W），结果如下：

(W1)4=I；(W2)2=I；(W3)4=I.

对于Megaminx，如果先转动W1面，再转动A1面，则有

(W1A1)63=I.

如果按照W1A1B1操作Megaminx，则有

(W1A1B1)351=I.

点群的魅力：正五边形12面魔方

建议用Mozilla Firefox或者InternetExplorer浏览器

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