August 21, 2019

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August 21, 2019

Postby ArkieTech » Wed Aug 21, 2019 11:09 am

Code: Select all
 *-----------*
 |...|.42|91.|
 |..9|31.|..4|
 |...|...|..7|
 |---+---+---|
 |39.|...|...|
 |5..|...|.73|
 |6..|...|.2.|
 |---+---+---|
 |76.|..3|8..|
 |.5.|.9.|3..|
 |...|5..|...|
 *-----------*



Play/Print this puzzle online
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Re: August 21, 2019

Postby SpAce » Wed Aug 21, 2019 12:52 pm

original: Show
Code: Select all
.--------------------.-----------------------.-------------.
| 8    3      5      |  7        4      2    | 9    1   6  |
| 2    7      9      |  3        1      6    | 5    8   4  |
| 14   14     6      |  89       5      89   | 2    3   7  |
:--------------------+-----------------------+-------------:
| 3    9      124    |  1246     7      14   | 146  5   8  |
| 5   b1248  a124(8) |  124689   6-8    1489 | 146  7   3  |
| 6   b148    7      | e14(8)    3      5    | 14   2   9  |
:--------------------+-----------------------+-------------:
| 7    6      14     | e14       2      3    | 8    9   5  |
| 14   5      28     | e1468     9      7    | 3    46  12 |
| 9   c28     3      |  5       A6[8]  d148  | 7    46  12 |
'--------------------'-----------------------'-------------'

(8)r9c5 = [(8)r5c3 = r56c2 - r9c2 = (8-14)r9c6 = (14,8)r786c4] => -8 r5c5; stte

Code: Select all
.-----------------.------------------------.-------------.
| 8    3     5    |   7        4      2    | 9    1   6  |
| 2    7     9    |   3        1      6    | 5    8   4  |
| 14   14    6    |   89       5      89   | 2    3   7  |
:-----------------+------------------------+-------------:
| 3    9     124  |   1246     7      14   | 146  5   8  |
| 5    1248  1248 |   124689   6-8    1489 | 146  7   3  |
| 6   b148   7    | ab14[8]    3      5    | 14   2   9  |
:-----------------+------------------------+-------------:
| 7    6     14   |  b14       2      3    | 8    9   5  |
| 14   5     28   |  b146-8    9      7    | 3    46  12 |
| 9   c28    3    |   5      bd6(8)  c148  | 7    46  12 |
'-----------------'------------------------'-------------'

(8)r6c4 = (8)r6c2&(14,68)r67c4,b8p48 - r9c26 = (8)r9c5 => -8 r5c5,r8c4; stte
Last edited by SpAce on Wed Aug 21, 2019 1:32 pm, edited 1 time in total.
-SpAce-: Show
Code: Select all
   *             |    |               |    |    *
        *        |=()=|    /  _  \    |=()=|               *
            *    |    |   |-=( )=-|   |    |      *
     *                     \  ¯  /                   *   

"If one is to understand the great mystery, one must study all its aspects, not just the dogmatic narrow view of the Jedi."
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Re: August 21, 2019

Postby eleven » Wed Aug 21, 2019 1:10 pm

Being away sick, i have too much time to resist to post this nice pattern. 2nd time i saw such a thing.
Code: Select all
 *----------------------------------------------------------------*
 |  8    3      5      |  7        4    2      |  9     1    6    |
 |  2    7      9      |  3        1    6      |  5     8    4    |
 |  14   14     6      |  89       5    89     |  2     3    7    |
 |---------------------+-----------------------+------------------|
 |  3    9      2-14   |  1246     7   #14     |  146   5    8    |
 |  5    1248   1248   |  124689  a68   1489   |  146   7    3    |
 |  6    148    7      | #14+8     3    5      |  14    2    9    |
 |---------------------+-----------------------+------------------|
 |  7    6     #14     | #14       2    3      |  8     9    5    |
 |  14   5      28     |  1468     9    7      |  3     46   12   |
 |  9    28     3      |  5       b68  #14+8   |  7     46   12   |
 *----------------------------------------------------------------*

Double almost remote pair, connected by the 68 pair in c5
RP 14r7c34,r6c4,r3c6 = 8r6c4 - r5c5 = r9c6 - r9c6 = RP 14r7c34,r9c6,r3c6 => -14r3c3, stte
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Re: August 21, 2019

Postby SpAce » Wed Aug 21, 2019 2:25 pm

eleven wrote:Double almost remote pair, connected by the 68 pair in c5
RP 14r7c34,r6c4,r3c6 = 8r6c4 - r5c5 = r9c6 - r9c6 = RP 14r7c34,r9c6,r3c6 => -14r3c3, stte

Awesome! Thanks for that! I briefly tried to look for some RP action with the 14s but never saw that. Too bad; it's not even that hard to see once seen.

I know you're not interested in notation issues, but I recently wondered about the RP notation. I have no problem with what you just wrote, and it's actually very close to what I did before (and I think it's still fine). However, here's a couple of options I came up with, if one wants to depict the internal logic of the pattern without a complex AIC:

1) As a dual (double-digit) X-Chain (in this case two; a dual Crane and a dual Kite):

[(1/4):r7c3=r7c4-r6c4=r4c6] = (86)b5p75 - (68)r9c56 = [(1/4):r7c3=r7c4-r9c6=r4c6] => -14 r4c3; stte

2) As a dual (double-digit) fish:

(1/4)R7B5\r4c34 = (86)b5p75 - (68)r9c56 = (1/4)R7C6\r4c3b8 => -14 r4c3; stte

In general, I'm suggesting using the '/' for cases where the same logic applies to multiple digits, though I can't think of other cases than RPs off-hand. In other words, it's a shorthand for two parallel chains (or fishes), not to be interpreted as a single AIC or fish (because it wouldn't be correct).

What do you think?
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Re: August 21, 2019

Postby SteveG48 » Wed Aug 21, 2019 2:27 pm

Code: Select all
 *------------------------------------------------------------------------------*
 | 8       3       5       |  7       4       2       | 9       1       6       |
 | 2       7       9       |  3       1       6       | 5       8       4       |
 | 14      14      6       |  89      5       89      | 2       3       7       |
 *-------------------------+--------------------------+-------------------------|
 | 3       9       124     |  1246    7       14      | 146     5       8       |
 | 5       1248   a1248    |  124689  6-8     1489    | 146     7       3       |
 | 6       148     7       |ef148     3       5       | 14      2       9       |
 *-------------------------+--------------------------+-------------------------|
 | 7       6       14      | d14      2       3       | 8       9       5       |
 | 14      5      b28      |cd1468    9       7       | 3       46      12      |
 | 9       28      3       |  5     ef68      148     | 7       46      12      |
 *------------------------------------------------------------------------------*


8r5c3 = r8c3 - 8r8c4 = (14)r78c4|6r8c4 - (1|4)r6c4&6r9c5 = 8r6c4,r9c5 => -8 r5c5 ; stte
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Re: August 21, 2019

Postby SteveG48 » Wed Aug 21, 2019 2:32 pm

Lovely, Eleven. I hope you're feeling better soon.
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Re: August 21, 2019

Postby Cenoman » Wed Aug 21, 2019 7:22 pm

I hardly dare post a solution, after eleven's fireworks! I hope you back perfectly well soon, eleven.
Code: Select all
 +---------------------+-----------------------+------------------+
 |  8    3      5      |  7        4    2      |  9     1    6    |
 |  2    7      9      |  3        1    6      |  5     8    4    |
 |  14   14     6      |  89       5   c89     |  2     3    7    |
 +---------------------+-----------------------+------------------+
 |  3    9      124    |  1246     7   d14     |  146   5    8    |
 |  5    1248  a1248*  |  124689   6-8 d1489   |  146   7    3    |
 |  6    148    7      | d148      3    5      |  14    2    9    |
 +---------------------+-----------------------+------------------+
 |  7    6      14     |  14       2    3      |  8     9    5    |
 |  14   5     a28*    |  1468     9    7      |  3     46   12   |
 |  9   a28*    3      |  5       a68* b148    |  7     46   12   |
 +---------------------+-----------------------+------------------+

Almost kite
[(8)r5c3=r8c3-r9c2*=r9c5] = (8)r9c6 - (8=9)r3c6 - (9=148)b5p367 => -8 r5c5; ste
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Re: August 21, 2019

Postby eleven » Wed Aug 21, 2019 8:55 pm

Thank you all so much - and Dan for that puzzle.
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