Chuck Puzzle

Design : Edward Nelson (1897). Ron Cook.

Chuck 6

A		B..F	×5

Pieces	6
Length	6
Goal	6×6×6
Holes	10
Solutions	1 / 1
Moves	2

Chuck 24

A B	×2	C..R	×16

S..X	×6

Pieces	24
Length	6, 12
Goal	12×12×12
Holes	68
Solutions	6 / 37
Moves	2

Chuck 54

A B	×2	C..Z a..d	×28

e		f..v	×17

1..6	×6

Pieces	54
Length	6, 12, 18
Goal	18×18×18
Holes	252
Solutions	24 / 2,907
Moves	2

Chuck 96

×2

×40

×29

×17

×6

Pieces	96
Length	6, 12, 18, 24
Goal	24×24×24

Puzzles Old & New

K		P

The number of pieces required in order to construct is as follows.

Pieces			1	2	3	4	5	6	7	8	N
Length			6	24	54	96	150	216	294	384	6N²
Sol			1	6	24	96	384	1,536	6,144	24,576	6×4^(L−2)
1	6	K	1	2	2	2	2	2	2	2	2	: N≥2
1	6	P	5	16	28	40	52	64	76	88	12(N−1)+4	: N≥2
2	12	K		0	1	1	1	1	1	1	1	: N≥3
2	12	P		6	17	29	41	53	65	77	12(N−2)+5	: N≥3
3	18	K			0	1	1	1	1	1	1	: N≥4
3	18	P			6	17	29	41	53	65	12(N−3)+5	: N≥4
4	24	K				0	1	1	1	1	1	: N≥5
4	24	P				6	17	29	41	53	12(N−4)+5	: N≥5
5	30	K					0	1	1	1	1	: N≥6
5	30	P					6	17	29	41	12(N−5)+5	: N≥6
6	36	K						0	1	1	1	: N≥7
6	36	P						6	17	29	12(N−6)+5	: N≥7
7	42	K							0	1	1	: N≥8
7	42	P							6	17	12(N−7)+5	: N≥8
8	48	K								0	1	: N≥9
8	48	P								6	12(N−8)+5	: N≥9
L	6L	K									1	: N≥L+1
		P									12(N−L)+5	: N≥L+1

Jul 17, 2004 by k16@chiba.email.ne.jp