Newsgroups: rec.puzzles
From: Dan Hoey <haoyuep@aol.com>
Date: Sat, 04 Oct 2008 07:49:21 -0400
Subject: Re: Enigma 1505 - Brief N-counter

Dan Hoey wrote:
> ken wrote:
>> On Sep 24, 1:20 pm, Chappy <petergregorychap...@hotmail.com> wrote:
>>> i.e. Ken's solution has three pieces that are the same shape.
>>> My solution has only 3 differently shaped pieces.

> My program found 203 solutions.  My tired eyes found only one in which
> all six hexominoes are congruent, but I haven't taught the program to
> back me up on that.

Here's are a couple of the solutions.  The one-shape solution is #52,
but my favorite solution is #193, because it has two four-corners
points.  The whole list is about 32Kb, a little large for a Usenet
post.

._._._._._._.  Solution #52
| . |_._. . |   1 +  2 +  7 +  8 +  9 + 10=  37
|_._._._|_._|   3 +  4 +  5 +  6 + 11 + 12=  41
| . |_._. . |  13 + 14 + 19 + 20 + 21 + 22= 109
|_._._._|_._|  15 + 16 + 17 + 18 + 23 + 24= 113
| . ._._| . |  25 + 26 + 27 + 28 + 31 + 32= 169
|_._|_._._._|  29 + 30 + 33 + 34 + 35 + 36= 197

._._._._._._.  Solution #193
| | . | . ._|   1 +  7 + 13 + 14 + 19 + 25=  79
| |_. |_. | |   2 +  3 +  8 +  9 + 15 + 16=  53
| ._|_._|_| |   4 +  5 +  6 + 10 + 11 + 17=  53
| | |_. |_. |  12 + 18 + 23 + 24 + 30 + 36= 143
|_| . | . | |  20 + 26 + 27 + 31 + 32 + 33= 169
|_._._|_._|_|  21 + 22 + 28 + 29 + 34 + 35= 169

Dan Hoey
haoyuep at aol.com