10

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)
16 K 12222222 2 : N≥2
P 516284052647688 12(N−1)+4 : N≥2
212 K 0111111 1 : N≥3
P 6172941536577 12(N−2)+5 : N≥3
318 K 011111 1 : N≥4
P 61729415365 12(N−3)+5 : N≥4
424 K 01111 1 : N≥5
P 617294153 12(N−4)+5 : N≥5
530 K 0111 1 : N≥6
P 6172941 12(N−5)+5 : N≥6
636 K 011 1 : N≥7
P 61729 12(N−6)+5 : N≥7
742 K 01 1 : N≥8
P 617 12(N−7)+5 : N≥8
848 K 0 1 : N≥9
P 6 12(N−8)+5 : N≥9
L6L K 1 : N≥L+1
P 12(N−L)+5 : N≥L+1

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