# Chinese Wooden Puzzles solutions touching top and bottom edge

Below the results for the Chinese Wooden
Puzzle such that all pieces of the same colour touch each other and both
the top and the bottom edge. All trival solutions have been left out. Also
solutions with the green and purple pieces, because there are no solutions in
which they mingle with the other pieces. There are no non-trivial solutions
with less than four pieces of each colour.
## Chinese Wooden Puzzles in 4 by 8

One normalized solution is symmetric in one direction.
Three normalized solutions are not symmetric in any direction.
Eight solutions (two normalized solutions) are permutations of one solution of black, four solutions of blue.
This leaves six mix solutions.
One pattern is a combination of two smaller patterns.
Two patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with nine extra.
There is one maximal touching pattern.
The patterns are:

## Chinese Wooden Puzzles in 6 by 8

The one normalized solution is not symmetric in any direction.
The one pattern is:

## Chinese Wooden Puzzles in 8 by 8

Three normalized solutions are not symmetric in any direction.
The patterns are:

Two normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 12 extra.
There is one maximal touching pattern.
The patterns are:

## Chinese Wooden Puzzles in 10 by 8

Seven normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 13 extra.
There is one maximal touching pattern.
The patterns are:

Seven normalized solutions are not symmetric in any direction.
24 solutions (six normalized solutions) are permutations of 12 solutions of orange, red, blue, and white, one solution of black.
This leaves four mix solutions.
Four patterns are a combination of two smaller patterns.
One pattern is a mix patterns.
There is one minimal touching pattern, which is suboptimal with 17 extra.
There are four maximal touching patterns.
The mix patterns is:

Five normalized solutions are not symmetric in any direction.
16 solutions (four normalized solutions) are permutations of eight solutions of orange, yellow, blue, and white, one solution of black.
This leaves four mix solutions.
Four patterns are a combination of two smaller patterns.
One pattern is a mix patterns.
There are two minimal touching patterns, which are suboptimal with 19 extra.
There are two maximal touching patterns.
The mix patterns is:

## Chinese Wooden Puzzles in 10 by 10

15 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 26 extra.
There is one maximal touching pattern.
The patterns are:

## Chinese Wooden Puzzles in 12 by 8

15 normalized solutions are not symmetric in any direction.
56 solutions (14 normalized solutions) are permutations of 28 solutions of orange, red, yellow, blue, and white, one solution of black.
This leaves four mix solutions.
Ten patterns are a combination of two smaller patterns.
One pattern is a mix patterns.
There is one minimal touching pattern, which is suboptimal with 19 extra.
There are two maximal touching patterns.
The mix patterns is:

## Chinese Wooden Puzzles in 12 by 10

26 normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 28 extra.
There is one maximal touching pattern.
The patterns are:

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