If you want to show the six surfaces of the magic square at one time, you have to proceed according to the following procedures step by step.





1. To show the first surface and the first layer:



If you want to show the first face, you will probably encounter the following condition. At this time, you may follow any of the following five ways to make it:


------->>> The 'G' shown in the figures represents the 'Base plane' <<<-----------



(a)












..........................Turn 90ยบ,,..,,Turn 90°.......Turn 90°......Turn 90°




(b)









..........................Turn 90° ......Turn 90° .......Turn 90°




(c)










...........................Turn 90° ......Turn 90° ......Turn 90°



(d)


















Turn 90° ....Turn 180°.... Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°




(e)
















Turn 180° ....Turn 90° ...Turn 180°..... Turn 90°



You may complete any surface by acting in accordance with anyone of the aforesaid ways. Please note that when one surface is completed, the colors around the four sides must be the same. Further, the first layer must be turned to make the color of the four sides coincide with that on the respective centers. Hence, letter 'T' shall appear on each side as shown in the figure.












There are two ways that will enable you to get the same color on the four sides of the first layer. They are shown below:




(a)



Change the positions of (1) and (2)













Turn 90° ......Turn 180°....... Turn 90°.... Turn 90° ....Turn 90°








Turn 90° ....Turn 180°..... Turn 90° .....Turn 90° .......Turn 90°



(b)


Change the positions of (1) and (2)








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Turn 90°..... Turn 90° ......Turn 90°...... Turn 90° .....Turn 180° .....Turn 90°





2. To turn the second layer on the surface:



Following the aforesaid procedures, the first surface on the first layer shall be shown out (The top layer of four sides). Then, you may proceed with the second layer and at this time, the first layer completed must be put at the lower end, making 'T' in a reverse condition. There are two ways in bringing out the second layer as indicated below:



(a)



Change the positions of (1) and (2)












Turn 90° ....Turn 90° ....Turn 90°.... Turn 90°








Turn 90° .....Turn 90° .....Turn 90°.......Turn 90°




(b)




Change the positions of (1) and (2)








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Turn 90° ......Turn 90° .....Turn 90° .....Turn 90°





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Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°




If you encounter a condition as shown here,










the colors by the sides of square (1) should be displaced with each other. The methods of the aforesaid (1) or (2) may be used. At the time, you may turn (2) or (3) to the position of (1) and subsequently, (1) will turn to the position of (2) or (3). Then, make a turn again in the same manner and you may use method 2.1 or method 2.2 to turn square (1) back to its original position. With this done, the colors by the two sides of it shall be replaced with each other.




When the aforesaid procedures are completed, the condition of the second layer shall be arranged as shown below:















3. When the second layer is completed, you must try to put the top of the third layer in + shape as shown below:





















When theshape appears, the top layer must be turned to make it show as on the upper left corner.



Following the second step, no matter what shape shall appear on the top of the third layer, it may be turned repeatedly according to the following manners until it appears (+) ( ).


When + appears, you may go ahead taking the fourth step.










Turn 90° .....Turn 90° .....Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°




4. Turn the sqares on the top to right positions:

When + is shaped on the top of the square following the aforesaid three steps, you may try to make the colors on the squares around the four corners in agreement with the colors on the adjacent three surfaces. However, the color may not necessarily be at desired position. If it happens that a square is in right position (color may not be this case) at the end of step 3, this corner may be used as the reference point and change the positions of other three corners by using the following methods according to the direction indicated by arrows. This may turn the squares to right positions.




(a)




Move (1) to (2), (2) to (3), and (3) to (1)












Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°..... Turn 90°








Turn 90°..... Turn 90°..... Turn 90° .....Turn 90° .....Turn 90°





(b)





Move (1) to (3), (3) to (2), and (2) to (1)












Turn 90°..... Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°









Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°..... Turn 90°





Note: If the squares at four corners reach the right positions in steps 3 and 4 above, you may proceed with step 5. If, however, only two squares reach the right position, you must make adjustments (Possibly more than once) by using the aforesaid method (a) or (b) until the four squares on the corners reach their right positions.




5. Turn the color of the four squares to right direction:





To achieve this purpose, you may proceed according to either of the following two ways. At this time, use the square of right color as the reference one and turn the other three squares at their respective positions to bring out the right color.





(a)


















Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°









Turn 90° .....Turn 180°..... Turn 90°..... Turn 180°




(b)



















Turn 90° .....Turn 90° .....Turn 90° .....Turn 90°






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Turn 90° .....Turn 180° .....Turn 90° .....Turn 180°




Note:
If 2 or 3 squares are in right positions and colors, they have to be rearranged just to leave one in right position (This may be done by leaving one of them in right position. Then, turn the others according to the way as shown in 4(b) and when this is done, turn them again according to the way as shown in 4(a) . Finally, you may proceed in accordance with the procedures as shown in 5(a) or 5(b) .



To act according to the aforesaid procedures, you may make the square in a form as shown here:













6. To complete six surfaces on the sqare. When the aforesaid 4th step is completed, the square may be of two different conditions as follows:




(a)














On the third layer, only one of the squares in the center of four sides is in right position with the other three in wrong positions.



(b)






The central square on the top layer of four sides are all in wrong positions.






If what was stated in 6(a) above occurs, you may take G surface as reference and make turns according to the following procedures. If the condition stated in 6(b) occurs, you may take any surface or side as reference and make turns according to the following procedures. With this done, the condition as shown in 6.1 may appear, and then you may make turns once again to complete the play.











Turn 90° .....Turn 90° .....Turn 90°..... Turn 90° .....Turn 90°








Turn 180° .....Turn 90°..... Turn 90° .....Turn 90° .....Turn 90°







Turn 90°..... Turn 90° .....Turn 90°..... Turn 180° .....Turn 90°..... Turn 90°