import numpy as np

import copy as cp

# 建立六個面，放在 faces 列表裡，順序為上（ 0 ），下（ 1 ），左（ 2 ），右（ 3 ），前（ 4 ），後（ 5 ）

faces = [np.zeros((3, 3))]

for i in range(1, 6):

faces.append(np.ones((3, 3)) + faces[i - 1])

t = np.array([[0, 0, 1],

[0, 1, 0],

[1, 0, 0]])

# 該面順時針旋轉 90 度

def clockwise(face):

face = face.transpose().dot(t)

return face

# 該面逆時針旋轉 90 度

def antiClockwise(face):

face = face.dot(t).transpose()

return face

def U(FACES):

FACES[0] = clockwise(FACES[0])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[4], FACES_new[2], FACES_new[5], FACES_new[3]

FACES[4][0], FACES[2][0], FACES[5][0], FACES[3][0] = d[0], a[0], b[0], c[0]

def _U(FACES):

FACES[0] = antiClockwise(FACES[0])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[4], FACES_new[2], FACES_new[5], FACES_new[3]

FACES[4][0], FACES[2][0], FACES[5][0], FACES[3][0] = b[0], c[0], d[0], a[0]

def U2(FACES):

for i in range(2):

U(FACES)

'''

FACES[0] = clockwise(clockwise(FACES[0]))

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[4], FACES_new[2], FACES_new[5], FACES_new[3]

FACES[4][0], FACES[2][0], FACES[5][0], FACES[3][0] = c[0], d[0], a[0], b[0]

'''

def D(FACES):

FACES[1] = clockwise(FACES[1])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[4], FACES_new[2], FACES_new[5], FACES_new[3]

FACES[4][2], FACES[2][2], FACES[5][2], FACES[3][2] = b[2], c[2], d[2], a[2]

def _D(FACES):

FACES[1] = antiClockwise(FACES[1])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[4], FACES_new[2], FACES_new[5], FACES_new[3]

FACES[4][2], FACES[2][2], FACES[5][2], FACES[3][2] = d[2], a[2], b[2], c[2]

def D2(FACES):

for i in range(2):

D(FACES)

'''

FACES[1] = clockwise(clockwise(FACES[1]))

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[4], FACES_new[2], FACES_new[5], FACES_new[3]

FACES[4][2], FACES[2][2], FACES[5][2], FACES[3][2] = c[2], d[2], a[2], b[2]

'''

def L(FACES):

FACES[2] = clockwise(FACES[2])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = clockwise(FACES_new[4]), clockwise(FACES_new[1]), antiClockwise(FACES_new[5]), clockwise(FACES_new[0])

e, f, g, h = 外匯跟單gendan5.comcp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

e[0], f[0], g[0], h[0] = d[0], a[0], b[0], c[0]

FACES[4], FACES[1], FACES[5], FACES[0] = antiClockwise(e), antiClockwise(f), clockwise(g), antiClockwise(h)

def _L(FACES):

FACES[2] = antiClockwise(FACES[2])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = clockwise(FACES_new[4]), clockwise(FACES_new[1]), antiClockwise(FACES_new[5]), clockwise(FACES_new[0])

e, f, g, h = cp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

e[0], f[0], g[0], h[0] = b[0], c[0], d[0], a[0]

FACES[4], FACES[1], FACES[5], FACES[0] = antiClockwise(e), antiClockwise(f), clockwise(g), antiClockwise(h)

def L2(FACES):

for i in range(2):

L(FACES)

# 上（ 0 ），下（ 1 ），左（ 2 ），右（ 3 ），前（ 4 ），後（ 5 ）

def R(FACES):

FACES[3] = clockwise(FACES[3])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = antiClockwise(FACES_new[4]), antiClockwise(FACES_new[1]), clockwise(FACES_new[5]), antiClockwise(

FACES_new[0])

e, f, g, h = cp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

g[0], f[0], e[0], h[0] = d[0], c[0], b[0], a[0]

FACES[4], FACES[1], FACES[5], FACES[0] = clockwise(e), clockwise(f), antiClockwise(g), clockwise(h)

def _R(FACES):

FACES[3] = antiClockwise(FACES[3])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = antiClockwise(FACES_new[4]), antiClockwise(FACES_new[1]), clockwise(FACES_new[5]), antiClockwise(

FACES_new[0])

e, f, g, h = cp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

f[0], g[0], h[0], e[0] = a[0], b[0], c[0], d[0]

FACES[4], FACES[1], FACES[5], FACES[0] = clockwise(e), clockwise(f), antiClockwise(g), clockwise(h)

def R2(FACES):

for i in range(2):

R(FACES)

def F(FACES):

FACES[4] = clockwise(FACES[4])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = clockwise(clockwise(FACES_new[0])), FACES_new[1], antiClockwise(FACES_new[2]), clockwise(FACES_new[3])

e, f, g, h = cp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

e[0], g[0], f[0], h[0] = c[0], b[0], d[0], a[0]

FACES[0], FACES[1], FACES[2], FACES[3] = clockwise(clockwise(e)), f, clockwise(g), antiClockwise(h)

def _F(FACES):

FACES[4] = antiClockwise(FACES[4])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = clockwise(clockwise(FACES_new[0])), FACES_new[1], antiClockwise(FACES_new[2]), clockwise(FACES_new[3])

e, f, g, h = cp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

g[0], f[0], h[0], e[0] = a[0], c[0], b[0], d[0]

FACES[0], FACES[1], FACES[2], FACES[3] = clockwise(clockwise(e)), f, clockwise(g), antiClockwise(h)

def F2(FACES):

for _ in range(2):

F(FACES)

# 上（ 0 ），下（ 1 ），左（ 2 ），右（ 3 ），前（ 4 ），後（ 5 ）

def B(FACES):

FACES[5] = clockwise(FACES[5])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[0], clockwise(clockwise(FACES_new[1])), clockwise(FACES_new[2]), antiClockwise(FACES_new[3])

e, f, g, h = cp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

g[0], f[0], h[0], e[0] = a[0], c[0], b[0], d[0]

FACES[0], FACES[1], FACES[2], FACES[3] = e, clockwise(clockwise(f)), antiClockwise(g), clockwise(h)

def _B(FACES):

FACES[5] = antiClockwise(FACES[5])

FACES_new = cp.deepcopy(FACES)

a, b, c, d = FACES_new[0], clockwise(clockwise(FACES_new[1])), clockwise(FACES_new[2]), antiClockwise(FACES_new[3])

e, f, g, h = cp.deepcopy(a), cp.deepcopy(b), cp.deepcopy(c), cp.deepcopy(d)

e[0], g[0], f[0], h[0] = c[0], b[0], d[0], a[0]

FACES[0], FACES[1], FACES[2], FACES[3] = e, clockwise(clockwise(f)), antiClockwise(g), clockwise(h)

def B2(FACES):

for i in range(2):

B(FACES)

'''

|************|

|*U1**U2**U3*|

|************|

|*U4**U5**U6*|

|************|

|*U7**U8**U9*|

|************|

************|************|************|************|

*L1**L2**L3*|*F1**F2**F3*|*R1**R2**R3*|*B1**B2**B3*|

************|************|************|************|

*L4**L5**L6*|*F4**F5**F6*|*R4**R5**R6*|*B4**B5**B6*|

************|************|************|************|

*L7**L8**L9*|*F7**F8**F9*|*R7**R8**R9*|*B7**B8**B9*|

************|************|************|************|

|************|

|*D1**D2**D3*|

|************|

|*D4**D5**D6*|

|************|

|*D7**D8**D9*|

|************|

'''

def toString(FACES):

print()

for i in range(3):

print(" ", int(FACES[0][i][0]), int(FACES[0][i][1]), int(FACES[0][i][2]))

for i in range(3):

print(int(FACES[2][i][0]), int(FACES[2][i][1]), int(FACES[2][i][2]), end=" ")

print(int(FACES[4][i][0]), int(FACES[4][i][1]), int(FACES[4][i][2]), end=" ")

print(int(FACES[3][i][0]), int(FACES[3][i][1]), int(FACES[3][i][2]), end=" ")

print(int(FACES[5][i][0]), int(FACES[5][i][1]), int(FACES[5][i][2]))

for i in range(3):

print(" ", int(FACES[1][i][0]), int(FACES[1][i][1]), int(FACES[1][i][2]))

print()

def moves(FACES, lst):

for x in lst:

if x == 'U':

U(faces)

elif x == 'u':

_U(faces)

elif x == 'D':

D(faces)

elif x == 'd':

_D(faces)

elif x == 'L':

L(faces)

elif x == 'l':

_L(faces)

elif x == 'R':

R(faces)

elif x == 'r':

_R(faces)

elif x == 'F':

F(faces)

elif x == 'f':

_F(faces)

elif x == 'B':

B(faces)

elif x == 'b':

_B(faces)

lst = input(" 請輸入步驟 :")

moves(faces, lst)

print(" 執行後的魔方為 ")

toString(faces)

reverse = ''.join(map(chr, map(lambda x: ord(x) ^ 32, lst)))[::-1]

moves(faces, reverse)

print(" 魔方恢復步驟： ", reverse)

toString(faces)

python實現三階魔方還原

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