说实话，我也奇怪我怎么会有这么奇怪的需求，，，

把二维数组拆分为三维数组

目标：把一个$m\ast n$的数组，每x行为一页（x可被m整除），拆分为一个m行n列x页的三维数组

代码

import numpy as np
a = np.arange(30)
a.resize(6,5)
a
array([[ 0,  1,  2,  3,  4],[ 5,  6,  7,  8,  9],[10, 11, 12, 13, 14],[15, 16, 17, 18, 19],[20, 21, 22, 23, 24],[25, 26, 27, 28, 29]])
a.reshape(3,2,5) # 3页，2行，5列
array([[[ 0,  1,  2,  3,  4],[ 5,  6,  7,  8,  9]],[[10, 11, 12, 13, 14],[15, 16, 17, 18, 19]],[[20, 21, 22, 23, 24],[25, 26, 27, 28, 29]]])

把三维数组拆为四维数组

a=np.arange(60)
a.resize(6,2,5)
a
array([[[ 0,  1,  2,  3,  4],[ 5,  6,  7,  8,  9]],[[10, 11, 12, 13, 14],[15, 16, 17, 18, 19]],[[20, 21, 22, 23, 24],[25, 26, 27, 28, 29]],[[30, 31, 32, 33, 34],[35, 36, 37, 38, 39]],[[40, 41, 42, 43, 44],[45, 46, 47, 48, 49]],[[50, 51, 52, 53, 54],[55, 56, 57, 58, 59]]])
a.resize(3, 2, 2, 5)
a
array([[[[ 0,  1,  2,  3,  4],[ 5,  6,  7,  8,  9]],[[10, 11, 12, 13, 14],[15, 16, 17, 18, 19]]],[[[20, 21, 22, 23, 24],[25, 26, 27, 28, 29]],[[30, 31, 32, 33, 34],[35, 36, 37, 38, 39]]],[[[40, 41, 42, 43, 44],[45, 46, 47, 48, 49]],[[50, 51, 52, 53, 54],[55, 56, 57, 58, 59]]]])

a从6页2行5列，被拆为3部分2页2行5列，可以看到直接用resize把待拆分数组的第一维直接因子分解，得到的拆分结果不会乱序。

如果对得到的四维数组转置，比如把第二维和第三维换了

a.transpose(0, 2, 1, 3)
array([[[[ 0,  1,  2,  3,  4],[10, 11, 12, 13, 14]],[[ 5,  6,  7,  8,  9],[15, 16, 17, 18, 19]]],[[[20, 21, 22, 23, 24],[30, 31, 32, 33, 34]],[[25, 26, 27, 28, 29],[35, 36, 37, 38, 39]]],[[[40, 41, 42, 43, 44],[50, 51, 52, 53, 54]],[[45, 46, 47, 48, 49],[55, 56, 57, 58, 59]]]])

注意a.transpose(0, 2, 1, 3)并不会概念a,如果要把转置得到的矩阵存下来就必须赋值，如b=a.transpose(0, 2, 1, 3),这样b就是转置后的矩阵，a并未变化。

b=numpy.array([[1,2],[3,4]])
c=b.transpose(1,0)
b
Out[16]: 
array([[1, 2],[3, 4]])
c
Out[17]: 
array([[1, 3],[2, 4]])