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Great Pagoda (Japanese Crystal)


Designer : Unknown.

Great Pagoda 3

A B C
Pieces 3
Length 6
Goal 6×6×6
Holes 1
Solutions 0 / 2 without rotation
1 / 2 with rotation
Moves 2

Great Pagoda 9

A B..F×5
G H×2 I
Pieces 9
Length 6, 10
Goal 10×10×10
Holes 3
Solutions 5 / 12 without rotation
5 / 12 with rotation
Moves 2

Great Pagoda 19

A B..J×9
K L×2 M..P×4
Q R×2 S
Pieces 19
Length 6, 10, 14
Goal 14×14×14
Holes 3
Solutions 60 / 240 without rotation
60 / 240 with rotation
Moves 2

Great Pagoda 33

A B..N×13
O..R×4 S..X×6
a b×2 c..f×4
g h×2 i
Pieces 33
Length 6, 10, 14, 18
Goal 18×18×18
Holes 3
Solutions 960 / 5,376 without rotation
960 / 5,376 with rotation
Moves 2

×17
×4 ×10
×2 ×2 ×6
×2 ×4
×2
Pieces 51
Length 6, 10, 14, 18, 22
Goal 22×22×22
Holes 3
Puzzles Old & New

A P0
P1 P2
K2 K1

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

Pieces 1 2 3 4 5 6 7 8 9 10 11 12 13 N
Length 3 9 19 33 51 73 99 129 163 201 243 289 339 2N2+1
4N+2 K1 1111111111111 1
K2 1222222222222 2 : N≥2
16 A 1111111111111 1
P0 5913172125293337414549 4(N−1)+1 : N≥2
210 P0 46101418222630343842 4(N−2)−2 : N≥4
P1 24444444444 4 : N≥4
314 P0 461014182226303438 4(N−3)−2 : N≥5
P1 2222222222 2 : N≥4
P2 222222222 2 : N≥5
418 P0 4610141822263034 4(N−4)−2 : N≥6
P1 222222222 2 : N≥5
P2 22222222 2 : N≥6
522 P0 46101418222630 4(N−5)−2 : N≥7
P1 22222222 2 : N≥6
P2 2222222 2 : N≥7
626 P0 461014182226 4(N−6)−2 : N≥8
P1 2222222 2 : N≥7
P2 222222 2 : N≥8
730 P0 4610141822 4(N−7)−2 : N≥9
P1 222222 2 : N≥8
P2 22222 2 : N≥9
834 P0 46101418 4(N−8)−2 : N≥10
P1 22222 2 : N≥9
P2 2222 2 : N≥10
938 P0 461014 4(N−9)−2 : N≥11
P1 2222 2 : N≥10
P2 222 2 : N≥11
1042 P0 4610 4(N−10)−2 : N≥12
P1 222 2 : N≥11
P2 22 2 : N≥12
1146 P0 46 4(N−11)−2 : N≥13
P1 22 2 : N≥12
P2 2 2 : N≥13
1250 P0 4 4(N−12)−2 : N≥14
P1 2 2 : N≥13
P2 2 : N≥14
L4L+2 P0 4(N−L)−2 : N≥L+2
P1 2 : N≥L+1
P2 2 : N≥L+2

Apr 29, 2004 by k16@chiba.email.ne.jp