Various solutions of Luban wooden lock

Example of unlocking: 6 columns and 8 spellings

This is a six-column group found when calculating how many locks can be assembled from 25 sawn wood blocks by using the structural analysis method of Luban Lock (Kongming Lock). It can be assembled in eight different ways. It is now analyzed as an example of the structural analysis of Luban Shiplock (Kongming Shiplock) to make up for the shortcoming that the ninth structural analysis of Luban Shiplock (Kongming Shiplock) was judged as "private" and could not be made public. ? This is this 6-column group:

1.？ Or according to the established procedure, analyze the purpose of each column first:

1#: Is that okay? "column", "eaves" and "beams";

2#: Can you do it? "Column"? "beam";

3#: Can you do it? "column", "eaves" and "beams"; ?

4#: Can you do it? "column", "eaves" and "beams"; ?

5#: Can be used as "eaves" and "beams";

6#: Can be used as "eaves" and "beams"; ?

Further analysis: from the spelling of "beam", we can know that: because there is no light beam, it is not the spelling of 1+5, so 1# cannot be used for "beam" and can only be used for "column" and "eaves"; ?

2# can be used as the upper beam of 2+4 spell, and there are also supporting "eaves" (5# and 6#), so it may be 2+4 spell; ? 2#, 3#, 4#, 5# and 6# can all be "beams" in the spelling of 3+3, and there are both left and right, so it may also be the spelling of 3+3.

2.？ Consider the spelling of 2+4 first:?

After 2# is used as the upper beam of 2+4 splicing, the remaining 1#, 3# and 4# can be used as "columns". 3# and 4# cannot be "columns" at the same time, so there is no passage for the lower beam. 1# as a "column" can have two different directions. This results in the following four different sets of 2 "columns":

The second 1#3# column group and the fourth 1#4# column group from the left are not applicable in this case, because there is obviously no suitable "eaves" match, so they are discarded. The first 1#3# column group and the third 1#4# column group from the left.

Try to make a 2 "column" and a "beam" with the first 1#3# column group from the left, and try with the remaining 4#5#6# to get the following three results:

According to observation, 5# beam will cut off the front eaves, so it is not available. If the remaining two groups have eaves, you can find the appropriate eaves, as shown in the following figure:

It can also be combined with two groups of 2#5# to form a lock. So you will get two locks with different spellings.

Similarly, the column group of 1#4# can also get two locks with different spellings. As shown in the figure below:

So there are four different spellings of 2+4.

3.？ Consider the spelling of 3+3 again:

2#, 3#, 4#, 5# and 6# can all be used as "beams" of 3+3 spelling, and there are both left and right. But 2# is a beam, obviously there is no "column" to match, so 2# can only be a "column" in the spelling of 3+3.

The remaining 3#, 4#, 5# and 6# are used as "beams" and "columns" to obtain the following six groups, three in each direction:

Coincidentally, everything can be matched with the right eaves.

On the whole, the three three-column groups on the left are exactly the same, and so are the three three-column groups on the right. At the same time, these two kinds of three-column groups can be combined into a lock.

Theoretically, they can be combined into 9 different locks, but in this case, the columns cannot be repeated, so only 4 combinations meet the requirements of this example. As shown in the figure below:

So there are four different spellings of 3+3. ? So this six-column group has eight different spellings to make a lock.

One of the characteristics of this 6-column: 1#2# column itself is a mirror column (its mirror image is the same as itself). 3# and 4# are mirror images of each other and 5# and 6# are mirror images of each other. Therefore, they form eight different locks, and they are mirror images of each other. Those who are interested can compare themselves. This method of solving the classic Luban lock by logical analysis is the first and only method to solve the classic Luban lock so far. In solving the classic Luban lock, it can compete with IBM's unlocking software.