# Chinese Wooden Puzzles in N by 6

Below the results for the Chinese Wooden Puzzle that fit in a frame of size
N by 6 for all possible values for N and combination of
kind of pieces, where 3 pieces of each selected kind are used.
This page is generated with the program genCWP10.cpp
## Chinese Wooden Puzzles in 1 by 6

The one solution is symmetric in two directions.
The one pattern is:

## Chinese Wooden Puzzles in 2 by 6

The one solution is symmetric in two directions.
The one pattern is:

## Chinese Wooden Puzzles in 3 by 6

11 normalized solutions are not symmetric in any direction.
There is one optimal minimal touching pattern.
There are three maximal touching patterns.
The patterns are:

The one normalized solution is symmetric in one direction.
Two solutions (one normalized solution) are permutations of one solution of green, one solution of purple.
There are no mix solutions.
All patterns are a combination of two smaller patterns.
The one pattern is:

Three normalized solutions are symmetric in one direction.
The one pattern is:

## Chinese Wooden Puzzles in 4 by 6

## Chinese Wooden Puzzles in 5 by 6

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

60 normalized solutions are not symmetric in any direction.
88 solutions (22 normalized solutions) are permutations of 44 solutions of blue and purple, one solution of green.
This leaves 152 mix solutions.
12 patterns are a combination of two smaller patterns.
21 patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with two extra.
There are eight maximal touching patterns.
The patterns are:

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

210 normalized solutions are not symmetric in any direction.
There is one optimal minimal touching pattern.
There is one maximal touching pattern.
The patterns are:

13 normalized solutions are not symmetric in any direction.
12 solutions (three normalized solutions) are permutations of six solutions of black and purple, one solution of green.
This leaves 40 mix solutions.
One pattern is a combination of two smaller patterns.
Four patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with six extra.
There is one maximal touching pattern.
The patterns are:

## Chinese Wooden Puzzles in 6 by 6

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

## Chinese Wooden Puzzles in 7 by 6

63 normalized solutions are not symmetric in any direction.
160 solutions (40 normalized solutions) are permutations of 80 solutions of red, blue, and purple, one solution of green.
This leaves 92 mix solutions.
26 patterns are a combination of two smaller patterns.
15 patterns are a mix patterns.
There are three minimal touching patterns, which are suboptimal with four extra.
There are three maximal touching patterns.
The patterns are:

188 normalized solutions are not symmetric in any direction.
There are two minimal touching patterns, which are suboptimal with two extra.
There are four maximal touching patterns.
The patterns are:

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

1,016 normalized solutions are not symmetric in any direction.
1,680 solutions (420 normalized solutions) are permutations of 840 solutions of blue, black, and purple, one solution of green.
This leaves 2,384 mix solutions.
192 patterns are a combination of two smaller patterns.
281 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with one extra.
There are two maximal touching patterns.
The patterns are:

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

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

208 normalized solutions are not symmetric in any direction.
16 solutions (four normalized solutions) are permutations of eight solutions of orange, blue, and white, one solution of purple.
This leaves 816 mix solutions.
Four patterns are a combination of two smaller patterns.
100 patterns are a mix patterns.
There are three minimal touching patterns, which are suboptimal with two extra.
There are three maximal touching patterns.
The patterns are:

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

## Chinese Wooden Puzzles in 8 by 6

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

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

31 normalized solutions are not symmetric in any direction.
There are two minimal touching patterns, which are suboptimal with five extra.
There are five maximal touching patterns.
The patterns are:

14 normalized solutions are not symmetric in any direction.
16 solutions (four normalized solutions) are permutations of eight solutions of orange, blue, and white, one solution of green.
This leaves 40 mix solutions.
Four patterns are a combination of two smaller patterns.
Seven patterns are a mix patterns.
There are five minimal touching patterns, which are suboptimal with eight extra.
There are three maximal touching patterns.
The patterns are:

Two normalized solutions are not symmetric in any direction.
There is one minimal touching pattern, which is suboptimal with 11 extra.
There is one maximal touching pattern.
The patterns are:

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

## Chinese Wooden Puzzles in 9 by 6

1,101 normalized solutions are not symmetric in any direction.
1,504 solutions (376 normalized solutions) are permutations of 752 solutions of red, blue, black, and purple, one solution of green.
This leaves 2,900 mix solutions.
242 patterns are a combination of two smaller patterns.
465 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with three extra.
There are ten maximal touching patterns.
The patterns are:

309 normalized solutions are not symmetric in any direction.
Eight solutions (two normalized solutions) are permutations of four solutions of orange, red, yellow, and white, one solution of purple.
This leaves 1,228 mix solutions.
Two patterns are a combination of two smaller patterns.
174 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with four extra.
There is one maximal touching pattern.
The patterns are:

1,925 normalized solutions are not symmetric in any direction.
176 solutions (44 normalized solutions) are permutations of 88 solutions of orange, red, blue, and white, one solution of purple.
This leaves 7,524 mix solutions.
30 patterns are a combination of two smaller patterns.
856 patterns are a mix patterns.
There are three minimal touching patterns, which are suboptimal with one extra.
There is one maximal touching pattern.
The patterns are:

4,625 normalized solutions are not symmetric in any direction.
248 solutions (62 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, one solution of purple.
This leaves 18,252 mix solutions.
48 patterns are a combination of two smaller patterns.
2,251 patterns are a mix patterns.
Too many patterns to display them all.
The two optimal minimal touching patterns are:

37 normalized solutions are not symmetric in any direction.
128 solutions (32 normalized solutions) are permutations of 64 solutions of orange, red, white, and purple, one solution of green.
This leaves 20 mix solutions.
18 patterns are a combination of two smaller patterns.
Three patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with four extra.
There are four maximal touching patterns.
The patterns are:

95 normalized solutions are not symmetric in any direction.
224 solutions (56 normalized solutions) are permutations of 112 solutions of orange, yellow, white, and purple, one solution of green.
This leaves 156 mix solutions.
38 patterns are a combination of two smaller patterns.
28 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with three extra.
There are three maximal touching patterns.
The patterns are:

946 normalized solutions are not symmetric in any direction.
48 solutions (12 normalized solutions) are permutations of eight solutions of orange, blue, and white, one solution of green, one solution of purple.
1,632 solutions (408 normalized solutions) are permutations of 816 solutions of orange, blue, white, and purple, one solution of green.
80 solutions (20 normalized solutions) are permutations of 40 solutions of orange, blue, green, and white, one solution of purple.
There are a total of 1,760 solutions (440 normalized solutions) that are permutations, leaving 2,024 mix solutions.
214 patterns are a combination of two smaller patterns.
12 patterns are a combination of three smaller patterns.
246 patterns are a mix patterns.
There are 11 minimal touching patterns, which are suboptimal with four extra.
There are eight maximal touching patterns.
The patterns are:

178 normalized solutions are not symmetric in any direction.
There are three minimal touching patterns, which are suboptimal with three extra.
There are two maximal touching patterns.
The patterns are:

757 normalized solutions are not symmetric in any direction.
16 solutions (four normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, one solution of purple.
This leaves 3,012 mix solutions.
Four patterns are a combination of two smaller patterns.
426 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with two extra.
There are two maximal touching patterns.
The patterns are:

4,895 normalized solutions are not symmetric in any direction.
96 solutions (24 normalized solutions) are permutations of eight solutions of orange, blue, and white, six solutions of black and purple.
488 solutions (122 normalized solutions) are permutations of 244 solutions of orange, blue, black, and white, one solution of purple.
There are a total of 584 solutions (146 normalized solutions) that are permutations, leaving 18,996 mix solutions.
82 patterns are a combination of two smaller patterns.
2,255 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (one extra) minimal touching pattern is:

59 normalized solutions are not symmetric in any direction.
88 solutions (22 normalized solutions) are permutations of 44 solutions of orange, black, white, and purple, one solution of green.
This leaves 148 mix solutions.
14 patterns are a combination of two smaller patterns.
20 patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with five extra.
There are six maximal touching patterns.
The patterns are:

## Chinese Wooden Puzzles in 10 by 6

335 normalized solutions are not symmetric in any direction.
There are four minimal touching patterns, which are suboptimal with five extra.
There are three maximal touching patterns.
The patterns are:

Two normalized solutions are not symmetric in any direction.
Eight solutions (two normalized solutions) are permutations of four solutions of orange, red, yellow, and white, one solution of green.
There are no mix solutions.
All patterns are a combination of two smaller patterns.
The patterns are:

62 normalized solutions are not symmetric in any direction.
176 solutions (44 normalized solutions) are permutations of 88 solutions of orange, red, blue, and white, one solution of green.
This leaves 72 mix solutions.
30 patterns are a combination of two smaller patterns.
Ten patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with three extra.
There are four maximal touching patterns.
The patterns are:

106 normalized solutions are not symmetric in any direction.
248 solutions (62 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, one solution of green.
This leaves 176 mix solutions.
48 patterns are a combination of two smaller patterns.
20 patterns are a mix patterns.
There are four minimal touching patterns, which are suboptimal with seven extra.
There are two maximal touching patterns.
The patterns are:

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

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

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

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

18 normalized solutions are not symmetric in any direction.
16 solutions (four normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, one solution of green.
This leaves 56 mix solutions.
Four patterns are a combination of two smaller patterns.
11 patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with four extra.
There are two maximal touching patterns.
The patterns are:

283 normalized solutions are not symmetric in any direction.
488 solutions (122 normalized solutions) are permutations of 244 solutions of orange, blue, black, and white, one solution of green.
This leaves 644 mix solutions.
74 patterns are a combination of two smaller patterns.
92 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with four extra.
There are two maximal touching patterns.
The patterns are:

## Chinese Wooden Puzzles in 11 by 6

23,969 normalized solutions are not symmetric in any direction.
352 solutions (88 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, 44 solutions of blue and purple.
2,680 solutions (670 normalized solutions) are permutations of 1,340 solutions of orange, red, yellow, blue, and white, one solution of purple.
There are a total of 3,032 solutions (758 normalized solutions) that are permutations, leaving 92,844 mix solutions.
486 patterns are a combination of two smaller patterns.
11,150 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (one extra) minimal touching pattern is:

803 normalized solutions are not symmetric in any direction.
24 solutions (six normalized solutions) are permutations of four solutions of orange, red, yellow, and white, one solution of green, one solution of purple.
2,456 solutions (614 normalized solutions) are permutations of 1,228 solutions of orange, red, yellow, white, and purple, one solution of green.
There are a total of 2,480 solutions (620 normalized solutions) that are permutations, leaving 732 mix solutions.
348 patterns are a combination of two smaller patterns.
Six patterns are a combination of three smaller patterns.
92 patterns are a mix patterns.
There is one minimal touching pattern, which is suboptimal with three extra.
There is one maximal touching pattern.
The patterns are:

6,688 normalized solutions are not symmetric in any direction.
528 solutions (132 normalized solutions) are permutations of 88 solutions of orange, red, blue, and white, one solution of green, one solution of purple.
15,048 solutions (3,762 normalized solutions) are permutations of 7,524 solutions of orange, red, blue, white, and purple, one solution of green.
144 solutions (36 normalized solutions) are permutations of 72 solutions of orange, red, blue, green, and white, one solution of purple.
There are a total of 15,720 solutions (3,930 normalized solutions) that are permutations, leaving 11,032 mix solutions.
1,732 patterns are a combination of two smaller patterns.
90 patterns are a combination of three smaller patterns.
1,142 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (two extra) minimal touching pattern is:

16,379 normalized solutions are not symmetric in any direction.
744 solutions (186 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, one solution of green, one solution of purple.
36,504 solutions (9,126 normalized solutions) are permutations of 18,252 solutions of orange, yellow, blue, white, and purple, one solution of green.
352 solutions (88 normalized solutions) are permutations of 176 solutions of orange, yellow, blue, green, and white, one solution of purple.
There are a total of 37,600 solutions (9,400 normalized solutions) that are permutations, leaving 27,916 mix solutions.
4,542 patterns are a combination of two smaller patterns.
144 patterns are a combination of three smaller patterns.
2,978 patterns are a mix patterns.
Too many patterns to display them all.
The five suboptimal (two extra) minimal touching patterns are:

3,247 normalized solutions are not symmetric in any direction.
48 solutions (12 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, six solutions of black and purple.
160 solutions (40 normalized solutions) are permutations of 80 solutions of orange, red, yellow, black, and white, one solution of purple.
There are a total of 208 solutions (52 normalized solutions) that are permutations, leaving 12,780 mix solutions.
38 patterns are a combination of two smaller patterns.
1,829 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (three extra) minimal touching pattern is:

29,966 normalized solutions are not symmetric in any direction.
64 solutions (16 normalized solutions) are permutations of eight solutions of orange, blue, and white, four solutions of red, black, and purple.
1,056 solutions (264 normalized solutions) are permutations of 88 solutions of orange, red, blue, and white, six solutions of black and purple.
1,976 solutions (494 normalized solutions) are permutations of 988 solutions of orange, red, blue, black, and white, one solution of purple.
There are a total of 3,096 solutions (774 normalized solutions) that are permutations, leaving 116,768 mix solutions.
368 patterns are a combination of two smaller patterns.
13,009 patterns are a mix patterns.
Too many patterns to display them all.
The two suboptimal (one extra) minimal touching patterns are:

59,683 normalized solutions are not symmetric in any direction.
1,488 solutions (372 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, six solutions of black and purple.
704 solutions (176 normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, 44 solutions of blue and purple.
5,760 solutions (1,440 normalized solutions) are permutations of 2,880 solutions of orange, yellow, blue, black, and white, one solution of purple.
There are a total of 7,952 solutions (1,988 normalized solutions) that are permutations, leaving 230,780 mix solutions.
1,064 patterns are a combination of two smaller patterns.
25,812 patterns are a mix patterns.
Too many patterns to display them all.
The five suboptimal (one extra) minimal touching patterns are:

663 normalized solutions are not symmetric in any direction.
1,424 solutions (356 normalized solutions) are permutations of 712 solutions of orange, red, black, white, and purple, one solution of green.
Eight solutions (two normalized solutions) are permutations of four solutions of orange, red, green, black, and white, one solution of purple.
There are a total of 1,432 solutions (358 normalized solutions) that are permutations, leaving 1,220 mix solutions.
200 patterns are a combination of two smaller patterns.
149 patterns are a mix patterns.
There are three minimal touching patterns, which are suboptimal with four extra.
There are three maximal touching patterns.
The patterns are:

2,654 normalized solutions are not symmetric in any direction.
48 solutions (12 normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, one solution of green, one solution of purple.
6,024 solutions (1,506 normalized solutions) are permutations of 3,012 solutions of orange, yellow, black, white, and purple, one solution of green.
112 solutions (28 normalized solutions) are permutations of 56 solutions of orange, yellow, green, black, and white, one solution of purple.
There are a total of 6,184 solutions (1,546 normalized solutions) that are permutations, leaving 4,432 mix solutions.
874 patterns are a combination of two smaller patterns.
12 patterns are a combination of three smaller patterns.
592 patterns are a mix patterns.
Too many patterns to display them all.
The four suboptimal (three extra) minimal touching patterns are:

23,941 normalized solutions are not symmetric in any direction.
288 solutions (72 normalized solutions) are permutations of eight solutions of orange, blue, and white, six solutions of black and purple, one solution of green.
640 solutions (160 normalized solutions) are permutations of eight solutions of orange, blue, and white, 40 solutions of green, black, and purple.
480 solutions (120 normalized solutions) are permutations of 40 solutions of orange, blue, green, and white, six solutions of black and purple.
1,464 solutions (366 normalized solutions) are permutations of 244 solutions of orange, blue, black, and white, one solution of green, one solution of purple.
37,992 solutions (9,498 normalized solutions) are permutations of 18,996 solutions of orange, blue, black, white, and purple, one solution of green.
1,288 solutions (322 normalized solutions) are permutations of 644 solutions of orange, blue, green, black, and white, one solution of purple.
There are a total of 42,152 solutions (10,538 normalized solutions) that are permutations, leaving 53,612 mix solutions.
4,786 patterns are a combination of two smaller patterns.
246 patterns are a combination of three smaller patterns.
5,744 patterns are a mix patterns.
Too many patterns to display them all.
The seven suboptimal (three extra) minimal touching patterns are:

## Chinese Wooden Puzzles in 12 by 6

1,028 normalized solutions are not symmetric in any direction.
2,680 solutions (670 normalized solutions) are permutations of 1,340 solutions of orange, red, yellow, blue, and white, one solution of green.
This leaves 1,432 mix solutions.
438 patterns are a combination of two smaller patterns.
222 patterns are a mix patterns.
There are eight minimal touching patterns, which are suboptimal with seven extra.
There are three maximal touching patterns.
The patterns are:

5,373 normalized solutions are not symmetric in any direction.
Too many patterns to display them all.
The two suboptimal (five extra) minimal touching patterns are:

82 normalized solutions are not symmetric in any direction.
160 solutions (40 normalized solutions) are permutations of 80 solutions of orange, red, yellow, black, and white, one solution of green.
This leaves 168 mix solutions.
34 patterns are a combination of two smaller patterns.
31 patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with eight extra.
There are two maximal touching patterns.
The patterns are:

1,117 normalized solutions are not symmetric in any direction.
1,976 solutions (494 normalized solutions) are permutations of 988 solutions of orange, red, blue, black, and white, one solution of green.
This leaves 2,492 mix solutions.
292 patterns are a combination of two smaller patterns.
348 patterns are a mix patterns.
There are two minimal touching patterns, which are suboptimal with seven extra.
There are three maximal touching patterns.
The patterns are:

3,213 normalized solutions are not symmetric in any direction.
5,760 solutions (1,440 normalized solutions) are permutations of 2,880 solutions of orange, yellow, blue, black, and white, one solution of green.
This leaves 7,092 mix solutions.
872 patterns are a combination of two smaller patterns.
1,017 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (four extra) minimal touching pattern is:

## Chinese Wooden Puzzles in 13 by 6

109,696 normalized solutions are not symmetric in any direction.
1,056 solutions (264 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, 44 solutions of blue and purple, one solution of green.
1,216 solutions (304 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, 152 solutions of blue, green, and purple.
8,040 solutions (2,010 normalized solutions) are permutations of 1,340 solutions of orange, red, yellow, blue, and white, one solution of green, one solution of purple.
185,688 solutions (46,422 normalized solutions) are permutations of 92,844 solutions of orange, red, yellow, blue, white, and purple, one solution of green.
2,864 solutions (716 normalized solutions) are permutations of 1,432 solutions of orange, red, yellow, blue, green, and white, one solution of purple.
There are a total of 198,864 solutions (49,716 normalized solutions) that are permutations, leaving 239,920 mix solutions.
22,912 patterns are a combination of two smaller patterns.
1,458 patterns are a combination of three smaller patterns.
25,491 patterns are a mix patterns.
Too many patterns to display them all.
The five suboptimal (three extra) minimal touching patterns are:

586,272 normalized solutions are not symmetric in any direction.
6,720 solutions (1,680 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, 840 solutions of blue, black, and purple.
992 solutions (248 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, four solutions of red, black, and purple.
1,280 solutions (320 normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, 80 solutions of red, blue, and purple.
16,080 solutions (4,020 normalized solutions) are permutations of 1,340 solutions of orange, red, yellow, blue, and white, six solutions of black and purple.
7,040 solutions (1,760 normalized solutions) are permutations of 80 solutions of orange, red, yellow, black, and white, 44 solutions of blue and purple.
42,984 solutions (10,746 normalized solutions) are permutations of 21,492 solutions of orange, red, yellow, blue, black, and white, one solution of purple.
There are a total of 75,096 solutions (18,774 normalized solutions) that are permutations, leaving 2,269,992 mix solutions.
9,194 patterns are a combination of two smaller patterns.
251,381 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (one extra) minimal touching pattern is:

14,559 normalized solutions are not symmetric in any direction.
144 solutions (36 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, six solutions of black and purple, one solution of green.
320 solutions (80 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, 40 solutions of green, black, and purple.
480 solutions (120 normalized solutions) are permutations of 80 solutions of orange, red, yellow, black, and white, one solution of green, one solution of purple.
25,560 solutions (6,390 normalized solutions) are permutations of 12,780 solutions of orange, red, yellow, black, white, and purple, one solution of green.
336 solutions (84 normalized solutions) are permutations of 168 solutions of orange, red, yellow, green, black, and white, one solution of purple.
There are a total of 26,840 solutions (6,710 normalized solutions) that are permutations, leaving 31,396 mix solutions.
3,752 patterns are a combination of two smaller patterns.
114 patterns are a combination of three smaller patterns.
3,834 patterns are a mix patterns.
Too many patterns to display them all.
The two suboptimal (three extra) minimal touching patterns are:

150,195 normalized solutions are not symmetric in any direction.
128 solutions (32 normalized solutions) are permutations of eight solutions of red, green, black, and purple, eight solutions of orange, blue, and white.
3,168 solutions (792 normalized solutions) are permutations of 88 solutions of orange, red, blue, and white, six solutions of black and purple, one solution of green.
7,040 solutions (1,760 normalized solutions) are permutations of 88 solutions of orange, red, blue, and white, 40 solutions of green, black, and purple.
320 solutions (80 normalized solutions) are permutations of 40 solutions of orange, blue, green, and white, four solutions of red, black, and purple.
864 solutions (216 normalized solutions) are permutations of 72 solutions of orange, red, blue, green, and white, six solutions of black and purple.
5,928 solutions (1,482 normalized solutions) are permutations of 988 solutions of orange, red, blue, black, and white, one solution of green, one solution of purple.
352 solutions (88 normalized solutions) are permutations of four solutions of orange, red, green, black, and white, 44 solutions of blue and purple.
233,536 solutions (58,384 normalized solutions) are permutations of 116,768 solutions of orange, red, blue, black, white, and purple, one solution of green.
4,984 solutions (1,246 normalized solutions) are permutations of 2,492 solutions of orange, red, blue, green, black, and white, one solution of purple.
There are a total of 256,320 solutions (64,080 normalized solutions) that are permutations, leaving 344,460 mix solutions.
27,370 patterns are a combination of two smaller patterns.
1,104 patterns are a combination of three smaller patterns.
36,200 patterns are a mix patterns.
Too many patterns to display them all.
The six suboptimal (two extra) minimal touching patterns are:

338,188 normalized solutions are not symmetric in any direction.
4,464 solutions (1,116 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, six solutions of black and purple, one solution of green.
9,920 solutions (2,480 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, 40 solutions of green, black, and purple.
2,112 solutions (528 normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, 44 solutions of blue and purple, one solution of green.
2,432 solutions (608 normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, 152 solutions of blue, green, and purple.
2,112 solutions (528 normalized solutions) are permutations of 176 solutions of orange, yellow, blue, green, and white, six solutions of black and purple.
17,280 solutions (4,320 normalized solutions) are permutations of 2,880 solutions of orange, yellow, blue, black, and white, one solution of green, one solution of purple.
4,928 solutions (1,232 normalized solutions) are permutations of 56 solutions of orange, yellow, green, black, and white, 44 solutions of blue and purple.
461,560 solutions (115,390 normalized solutions) are permutations of 230,780 solutions of orange, yellow, blue, black, white, and purple, one solution of green.
14,184 solutions (3,546 normalized solutions) are permutations of 7,092 solutions of orange, yellow, blue, green, black, and white, one solution of purple.
There are a total of 518,992 solutions (129,748 normalized solutions) that are permutations, leaving 833,760 mix solutions.
55,370 patterns are a combination of two smaller patterns.
3,192 patterns are a combination of three smaller patterns.
88,453 patterns are a mix patterns.
Too many patterns to display them all.
The six suboptimal (two extra) minimal touching patterns are:

## Chinese Wooden Puzzles in 14 by 6

24,050 normalized solutions are not symmetric in any direction.
42,984 solutions (10,746 normalized solutions) are permutations of 21,492 solutions of orange, red, yellow, blue, black, and white, one solution of green.
This leaves 53,216 mix solutions.
6,334 patterns are a combination of two smaller patterns.
7,461 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (five extra) minimal touching pattern is:

## Chinese Wooden Puzzles in 15 by 6

3,016,830 normalized solutions are not symmetric in any direction.
20,160 solutions (5,040 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, 840 solutions of blue, black, and purple, one solution of green.
19,072 solutions (4,768 normalized solutions) are permutations of four solutions of orange, red, yellow, and white, 2,384 solutions of blue, green, black, and purple.
2,976 solutions (744 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, four solutions of red, black, and purple, one solution of green.
1,984 solutions (496 normalized solutions) are permutations of 124 solutions of orange, yellow, blue, and white, eight solutions of red, green, black, and purple.
3,840 solutions (960 normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, 80 solutions of red, blue, and purple, one solution of green.
1,472 solutions (368 normalized solutions) are permutations of eight solutions of orange, yellow, black, and white, 92 solutions of red, blue, green, and purple.
48,240 solutions (12,060 normalized solutions) are permutations of 1,340 solutions of orange, red, yellow, blue, and white, six solutions of black and purple, one solution of green.
107,200 solutions (26,800 normalized solutions) are permutations of 1,340 solutions of orange, red, yellow, blue, and white, 40 solutions of green, black, and purple.
1,408 solutions (352 normalized solutions) are permutations of 176 solutions of orange, yellow, blue, green, and white, four solutions of red, black, and purple.
21,120 solutions (5,280 normalized solutions) are permutations of 80 solutions of orange, red, yellow, black, and white, 44 solutions of blue and purple, one solution of green.
24,320 solutions (6,080 normalized solutions) are permutations of 80 solutions of orange, red, yellow, black, and white, 152 solutions of blue, green, and purple.
8,960 solutions (2,240 normalized solutions) are permutations of 56 solutions of orange, yellow, green, black, and white, 80 solutions of red, blue, and purple.
17,184 solutions (4,296 normalized solutions) are permutations of 1,432 solutions of orange, red, yellow, blue, green, and white, six solutions of black and purple.
128,952 solutions (32,238 normalized solutions) are permutations of 21,492 solutions of orange, red, yellow, blue, black, and white, one solution of green, one solution of purple.
14,784 solutions (3,696 normalized solutions) are permutations of 168 solutions of orange, red, yellow, green, black, and white, 44 solutions of blue and purple.
4,539,984 solutions (1,134,996 normalized solutions) are permutations of 2,269,992 solutions of orange, red, yellow, blue, black, white, and purple, one solution of green.
106,432 solutions (26,608 normalized solutions) are permutations of 53,216 solutions of orange, red, yellow, blue, green, black, and white, one solution of purple.
There are a total of 5,068,088 solutions (1,267,022 normalized solutions) that are permutations, leaving 6,999,232 mix solutions.
534,100 patterns are a combination of two smaller patterns.
27,582 patterns are a combination of three smaller patterns.
725,311 patterns are a mix patterns.
Too many patterns to display them all.
The one suboptimal (two extra) minimal touching pattern is:

Home and email
| Chinese Wooden Puzzle