# 点群的魅力：正五边形12面魔方

正五边形12面魔方（围绕五边形心块有1层）

12面魔方有12个心块、20个角块和30个边块。由于力学结构限制，12个心块不能运动，当然可以原地旋转，这个对魔方的状态没有贡献。

Ih点群有120个对称元素，如果你有一个5次轴转动操作，1个3次轴转动操作和1个2次轴转动操作，根据乘法表你就可以构造整个Ih点群，这三个操作元素就是所谓的生成元。

1个心块：0,0,1.114

5个角块：

.688,.5,1.114

.688,-.5,1.114

-.263,.809,1.114

-.263,-.809,1.114

-.851,0,1.114

5个边块：

.688,0,1.114

.213,.655,1.114

.213,-.655,1.114

-.557,.405,1.114

-.557,-.405,1.114

12面魔方62个小块的坐标

12个心块的坐标

0,0,1.114

.996,0,.498

.308,.947,.498

.308,-.947,.498

-.806,.585,.498

-.806,-.585,.498

.806,.585,-.498

.806,-.585,-.498

-.308,.947,-.498

-.308,-.947,-.498

-.996,0,-.498

0,0,-1.114

20个角块的坐标

.688,.5,1.114

.688,-.5,1.114

-.263,.809,1.114

-.263,-.809,1.114

-.851,0,1.114

1.114,.809,.263

1.114,-.809,.263

-.425,1.309,.263

-.425,-1.309,.263

-1.376,0,.263

1.376,0,-.263

.425,1.309,-.263

.425,-1.309,-.263

-1.114,.809,-.263

-1.114,-.809,-.263

.851,0,-1.114

.263,.809,-1.114

.263,-.809,-1.114

-.688,.5,-1.114

-.688,-.5,-1.114

30个边块的坐标

.688,0,1.114

.213,.655,1.114

.213,-.655,1.114

-.557,.405,1.114

-.557,-.405,1.114

.901,.655,.688

.901,-.655,.688

-.344,1.059,.688

-.344,-1.059,.688

-1.114,0,.688

1.245,.405,0

1.245,-.405,0

.769,1.059,0

.769,-1.059,0

0,1.309,0

0,-1.309,0

-.769,1.059,0

-.769,-1.059,0

-1.245,.405,0

-1.245,-.405,0

1.114,0,-.688

.344,1.059,-.688

.344,-1.059,-.688

-.901,.655,-.688

-.901,-.655,-.688

.557,.405,-1.114

.557,-.405,-1.114

-.213,.655,-1.114

-.213,-.655,-1.114

-.688,0,-1.114

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