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Happy Pentominos

 
pentomino_pieces
Last updated Wed Nov 4 1998
Rectangle Immortal? Lucky Number Happy Number
3x20 yes 2 (1) 2 (1)
3x21 no (7) 1 54
4x15 yes 368 368
4x16 no (6) ? ?
5x12 yes 1010 (6) 1010 (6)
5x13 no (6) ? ?
6x10 yes 2339 (2) 2339 (2)
6x11 no (6) 1 ?
6x12 no (6) 2 ?
7x9 yes 40 16720
7x10 no (6) 2 ?
8x8 no (6) 12 14980
8x9 no (6) 1 9128
9x9 no (6) ? ?
9x10 no (6) ? ?
10x10 no (6) ? ?
10x11 no (6) ? ?
11x11 no (3, 6) ? ?
11x12 no (6) ? ?
12x12 no (4, 6) ? ?
Notes
Number that are not in bold font have not been proved to be right.
(1) Dana S. Scott, EE Dept, Princeton U., Jun 1958. on the MANIAC computer. Dana at Edinburgh cogsci?
(2) C. B. Hasselgrove, Manchester U., 1960
(3) P. M. Robinson, U. of Cal. at Berkeley, the jagged square.
(4) P. M. Robinson's jagged rectangle.
(7) Herbert Taylor's hollow cross configuration.
(6) WxH >= 64
(7) V. Goffin, Oct 98, with the Java applet.

Q1: The 7x9 lucky number
Number Who When
40 Pierre Nov 3 98
Q2: Lucky Numbers
Board Number Who When
3x21 1 Vincent Nov 5 98
6x11 1 Vincent Nov 5 98
6x12 2 Vincent Nov 5 98
8x8 12 Vincent Nov 3 98
8x9 1 Vincent Oct 21 98
Q3: Happy Numbers
Board Number Who When
3x21 54 Vincent Nov 5 98
7x9 16720 Vincent Oct 24 98
8x8 14980 Vincent Oct 30 98
8x9 9128 Vincent Oct 21 98

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Date: Tue, 03 Nov 1998 16:08:54 +0100
From: Pierre Goffin 
Organization: I gud nomo
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<...>

j'ai vite joue un peu avec les pentominoes (minimum 40 solutions euh...)

bye + + +
Pierre