Quadruple Unique

Design and Copyright : 石野恵一郎 (ISHINO Keiichiro) (2003).

1.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

2.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

3.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

4.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

5.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Holes	Solutions
8	random	12×4×1	0	1
		8×6×1	0	1
		6×4×2	0	1
		4×4×3	0	1
		7×7×1	1	3

6.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

7.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

8.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

9.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

10.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

11.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

12.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

13.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

14.

A		B		C		D

E		F		G		H

Pieces	Selection	Goal	Solutions
8	random	12×4×1	1
		8×6×1	1
		6×4×2	1
		4×4×3	1

Pieces	35	☞ Hexominoes for the piece number.
Selection	complete	Use planar 8 Hexominoes. All pieces differ.
Goal	12×4×1 8×6×1 6×4×2 4×4×3
Combinations	1,946
	14	with all unique solutions.

	Piece Set	12×4×1	8×6×1	6×4×2	4×4×3	7×7×1 −1	Remark
1.	5 6 7 8 14 15 17 21	1	1	1	1	34
2.	5 6 7 10 14 16 17 21	1	1	1	1	17
3.	5 6 7 12 14 17 18 32	1	1	1	1	44	One piece which snug in 4×3
4.	5 6 8 14 15 16 17 27	1	1	1	1	39
5.	5 6 9 12 15 18 21 27	1	1	1	1	3
6.	5 6 9 13 16 17 20 27	1	1	1	1	20
7.	5 6 10 12 14 15 23 25	1	1	1	1	18
8.	5 6 10 12 15 18 23 26	1	1	1	1	7
9.	5 6 12 13 14 15 21 22	1	1	1	1	23
10.	5 7 8 16 17 21 24 26	1	1	1	1	15
11.	5 7 9 12 15 21 24 25	1	1	1	1	12
12.	5 7 10 14 16 21 25 27	1	1	1	1	21
13.	5 8 9 12 13 15 18 21	1	1	1	1	49
14.	5 8 9 12 14 15 27 31	1	1	1	1	43

Goal	12×4×1 8×6×1 8×3×2 6×4×2 4×4×3
Combinations	54
	0	with all unique solutions.

	Piece Set	12×4×1	8×6×1	8×3×2	6×4×2	4×4×3	Remark
1.	5 6 7 8 9 12 13 31	16	12	4	16	1
2.	5 6 7 8 9 12 16 18	4	3	4	29	42
3.	5 6 7 8 9 14 16 18	60	49	1	46	12
4.	5 6 7 8 12 13 14 16	25	72	8	6	12
5.	5 6 7 8 12 13 15 31	8	8	1	9	1
6.	5 6 7 8 12 13 16 24	54	61	1	17	4
7.	5 6 7 8 12 14 15 18	9	3	2	12	3
8.	5 6 7 8 12 14 16 18	37	37	1	32	18
9.	5 6 7 8 12 15 16 18	1	1	5	3	3
10.	5 6 7 8 12 16 17 24	1	6	1	2	4
11.	5 6 7 8 12 16 18 24	72	52	1	42	10
12.	5 6 7 9 12 13 14 16	10	43	1	2	21	No piece which snug in 4×3
13.	5 6 7 9 13 14 16 31	1	8	4	9	9
14.	5 6 7 10 12 14 23 24	58	58	1	30	16
15.	5 6 7 12 13 14 15 16	11	13	1	4	2	No piece which snug in 4×3
16.	5 6 7 12 13 14 21 24	35	34	2	13	4
17.	5 6 8 9 10 12 14 32	27	29	1	10	1
18.	5 6 8 9 12 13 14 15	8	3	1	1	4
19.	5 6 8 9 12 13 14 16	109	191	10	32	43
20.	5 6 8 9 12 13 16 28	16	20	2	12	2
21.	5 6 8 9 12 13 18 23	8	3	1	1	2
22.	5 6 8 9 12 13 20 32	10	11	1	4	4
23.	5 6 8 9 12 13 21 31	10	16	1	4	1
24.	5 6 8 9 12 14 16 18	16	36	1	13	81
25.	5 6 8 9 12 14 16 23	16	23	1	15	33
26.	5 6 8 9 12 14 20 31	11	26	1	4	1
27.	5 6 8 9 12 16 17 31	18	3	6	1	2
28.	5 6 8 9 12 16 23 24	3	13	1	1	5
29.	5 6 8 9 13 14 17 18	22	24	2	13	2
30.	5 6 8 9 13 14 18 26	18	24	2	13	2
31.	5 6 8 9 14 15 16 18	10	18	2	6	6
32.	5 6 8 12 13 14 15 16	119	168	8	33	38
33.	5 6 8 12 13 14 16 29	16	108	8	9	36
34.	5 6 8 12 13 17 24 32	2	8	1	1	3
35.	5 6 9 10 12 13 14 24	17	17	1	4	4
36.	5 6 9 12 13 14 15 16	1	5	4	9	14	No piece which snug in 4×3
37.	5 6 9 12 13 14 17 18	8	20	6	7	4	No piece which snug in 4×3
38.	5 6 9 12 13 14 20 23	31	38	5	16	3
39.	5 6 9 12 13 16 18 26	1	8	2	1	1
40.	5 6 9 13 14 16 18 26	8	1	4	3	1
41.	5 6 12 13 14 15 17 18	8	18	2	19	8	No piece which snug in 4×3
42.	5 7 8 9 12 13 15 17	9	10	8	1	2
43.	5 7 8 9 12 14 21 31	10	28	1	4	2
44.	5 7 8 9 12 15 16 24	4	2	5	4	2
45.	5 7 8 9 13 14 16 17	16	96	16	4	15
46.	5 7 9 12 13 14 20 24	21	41	1	11	1
47.	5 7 9 12 13 14 21 23	9	36	1	6	2
48.	5 7 9 12 14 21 22 24	1	15	1	2	3
49.	5 7 9 13 14 16 24 26	8	5	4	4	12
50.	5 7 12 14 15 16 24 27	1	4	1	1	10
51.	5 8 9 12 13 14 16 17	16	130	8	15	16
52.	5 8 9 12 13 14 16 26	117	216	8	32	6
53.	5 8 9 12 14 15 16 24	3	25	2	5	14
54.	5 12 13 14 15 16 17 25	16	12	1	16	3

May 22, 2003 by k16@chiba.email.ne.jp