1. The mathematical formula of room movement
and each room must be moved 3 times, from the initial position and back to the initial position, loop. There is a "bridge" room with a y-axis coordinate of 27, and its initial position is outside.
Finally, Leaven came up with the conversion method, that is, abc, def, ghi three sets of numbers, the cartesian coordinates of the initial state are (x,y,z)=(a+b+c, d+e+f, g+h+i ). The amount of three movements can be written as (vx, vy, vz) in the x, y, z axis directions, and the numbers are (ab, de, gh), (bc, ef, hi), (ca, fd, ig) ), in this way, the three positions of the room are from the
initial position to the first position
x = (a+b+c)+(ab) = 2a+ c
y = (d+e+f) + (de) = 2d+f
z = (g+h+i)+(gh) = 2g+i
first to second
x = 2a+c+(bc) = 2a+ b
y = 2d+f + (ef) = 2d+ e
z = 2g+i+(hi) = 2g+h The
second digit returns to the initial position
x = 2a+b+(ca) = a+b+c
y = 2d+e +(fd) = d+e+f
z = 2g+h + (ig) = g+h+i
2. The physical way of room movement.
A room cannot move diagonally, which excludes the 90-degree, 180-degree rotation along "one surface" that we play with the Rubik’s Cube , 270-degree movement.
The only possible way is to move the entire row of rooms. A single movement is impossible, because all the walls of the room we see are neighbors, and there is no space except the outer edge.
There is no space in the Rubik's Cube, only a big gap between it and the outer shell. Room 27 is an extra one. When it enters the middle of the Rubik's Cube, one room must come out, that is, a big Rubik's Cube. , A room was hung outside, this room was moved to a position and pushed forward, and a room on the opposite side was pushed out, as shown on the cover of this movie.
3. The time of a cycle (up to 8 hours).
We have seen that even Leaven believes that it may take a few days for a cycle. However, I think this assumption is wrong.
There are 6 people at the same physical level, and it is estimated that the time difference between them entering the Rubik's Cube will not exceed 2 days (According to Holloway, people will die in 3 days). There is only one entrance, and only one loop can come in (meeting after crawling, only Leaven calling for help at the beginning of the bridge)
According to them, they provided the last memory. The
entry time is dinner time (Holloway), bed time (Leaven), Quentin is 5 o'clock in the morning? (Shave?), Worth was waking up in the morning, Rennes didn't say.
In other words, there are 6 cycles at most within 48 hours, and each cycle will not exceed 8 hours.
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