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[ArkieTech]

Code: Select all

 *-----------*
 |...|.7.|.1.|
 |..9|..2|..7|
 |.6.|...|.84|
 |---+---+---|
 |...|2..|...|
 |...|.98|...|
 |8.7|...|.69|
 |---+---+---|
 |6..|8..|...|
 |.1.|54.|...|
 |53.|...|1.2|
 *-----------*


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[SCLT]

I won't bore you with any of the 6 million XY-Chains that exist here. How about this silly construction?

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+----------------+-----------------+---------------+
|  2    8  i35   |  d46   7   e46  |  9   1  aj35* |
|  134  45  9    | ac13*  8    2   |  6  k5-3  7   |
|  7    6   13   |  b139  135  59  |  2   8    4   |
+----------------+-----------------+---------------+
|  14   9  g16   |   2    35  f67  |  47  35   8   |
|  34   45 h356  |   67   9    8   |  47  2    1   |
|  8    2   7    | ac134* 135  45  | a35* 6    9   |
+----------------+-----------------+---------------+
|  6    7   4    |   8    2    1   | a35* 9   a35* |
|  9    1   2    |   5    4    3   |  8   7    6   |
|  5    3   8    |   79   6    79  |  1   4    2   |
+----------------+-----------------+---------------+


Almost Sashimi Finned Swordfish: 3* c479\r267 fr1c9

ASFS = 3r3c4 - (3=14)r26c4 - 4r1c4 = (4-6)r1c6 = r4c6 - r4c3 = (6-5)r5c3 = r1c3 - r1c9 = r2c8 => -3r2c8 ; stte

[eleven]

There is a nice 14 cell uniqueness pattern, but i need at least one (solving) of the 6 million xy-chains to get a stte solution.

Code: Select all

 *---------------------------------------------------------*
 |  2     8   #5-3   |  46    7     46   |  9    1   #35   |
 | #34+1 #45   9     |  13    8     2    |  6   #35   7    |
 |  7     6    13    |  139   135   59   |  2    8    4    |
 |-------------------+-------------------+-----------------|
 |  14    9    16    |  2    #35    67   |  47  #35   8    |
 | #34   #45  #35+6  |  67    9     8    |  47   2    1    |
 |  8     2    7     |  134  #35+1  45   | #35   6    9    |
 |-------------------+-------------------+-----------------|
 |  6     7    4     |  8     2     1    | #35   9   #35   |
 |  9     1    2     |  5     4     3    |  8    7    6    |
 |  5     3    8     |  79    6     79   |  1    4    2    |
 *---------------------------------------------------------*

MUG 345, internals 1r2c1,6r5c3, externals 3r6c4,5r6c6.
1r2c1 - (1=5)r13c3
(6-5)r5c3 = 5r1c3
3r6c4 - (3=5)r6c7 - r4c8 = r2c8 - r1c9 = r1c3
5r6c6 - (5=6)r349c6 - (6=5)r134c3
=> 5r1c3, stte

[SpAce]

original: Show

Code: Select all

.----------------------.------------------.------------------.
|  2         8     35  |  46     7     46 |  9     1      35 |
| a1[4#3]  a[4]-5  9   |  1*3    8     2  |  6   g{5}*3   7  |
|  7         6     13  | d19#3   135   59 |  2     8      4  |
:----------------------+------------------+------------------:
|  14        9     16  |  2      35    67 |  47   g5{*3}  8  |
|  34       b4(5)  356 | c67     9     8  | b47    2      1  |
|  8         2     7   |  14*3  e15#3  45 | f5*3   6      9  |
:----------------------+------------------+------------------:
|  6         7     4   |  8      2     1  |  35    9      35 |
|  9         1     2   |  5      4     3  |  8     7      6  |
|  5         3     8   | d79     6     79 |  1     4      2  |
'----------------------'------------------'------------------'

5-link Oddagon (*3)b2356 with three #guardians

(43)r2c21 == [(5=47)r5c27 - r5c4 = (79-3)r93c4 == r6c5 - r6c7 = (3,5)r42c8] => -5 r2c2; stte

Code: Select all

.---------------------.------------------.---------------.
| 2    8    b(5)*3    |  46     7     46 |  9   1    5*3 |
| 134  45     9       |  13     8     2  |  6   5*3  7   |
| 7    6     b1*3     | d19#3  c15*3  59 |  2   8    4   |
:---------------------+------------------+---------------:
| 14   9      16      |  2      5*3   67 |  47  5*3  8   |
| 34  e4{5}  a6[#3]-5 | d67     9     8  | e47  2    1   |
| 8    2      7       |  134   c15#3  45 |  35  6    9   |
:---------------------+------------------+---------------:
| 6    7      4       |  8      2     1  |  35  9    35  |
| 9    1      2       |  5      4     3  |  8   7    6   |
| 5    3      8       | d79     6     79 |  1   4    2   |
'---------------------'------------------'---------------'

7-link Oddagon (*3)r134c358b3 with three #guardians

(3)r5c3 == [(5=31)r13c3 - (1,3)r36c5 == (397)r395c4 - (74=5)r5c72] => -5 r5c3; stte

[SpAce]

Hi SCLT,

Nice solution! Hope you don't mind a bit of notational pondering.

Almost Sashimi Finned Swordfish: 3* c479\r267 fr1c9

First, I'm sure tarek (and I) like it that you're using both Sashimi and Finned. Most would say just Sashimi implying also Finned, but that's not exactly correct -- because if we remove the fins, we're left with a Sashimi Swordfish (i.e. a degenerate). For that reason, I think it would be more logical to switch the order of the words: Finned Sashimi. Is there a good argument for the other order?

Second, since we're talking about fishes, I guess it would be more in line with the UFG to call it a Kraken fish instead of an Almost fish. In that case it would also benefit from listing the remote fin. Thus:

Kraken Finned Sashimi Swordfish: 3* c479\r267 fr1c9 rfr3c4

ASFS = 3r3c4 - (3=14)r26c4 - 4r1c4 = (4-6)r1c6 = r4c6 - r4c3 = (6-5)r5c3 = r1c3 - r1c9 = r2c8 => -3r2c8 ; stte

I'm not a big fan of using text in chains. I'd use the (slightly modified) Obi-fish notation instead, which includes all relevant information about the fish in a compact package:

(3)C479\r267b3 = 3r3c4 ... = 5r2c8 => -3r2c8

(An unrelated side-note: I'd really prefer to see an explicit digit in the right-hand end node as well. The end nodes are the first thing I check in a chain to see the elimination logic, and it's annoying if one of them doesn't have all the necessary information. It also makes it slightly harder to read the chain backwards. Most importantly, it also makes the chain look unbalanced and asymmetrical, which bothers my sense of aesthetics )

[Ngisa]

Code: Select all

+--------------------+--------------------+------------------+
| 2       8      35  |  46     7       46 | 9      1      35 |
| 134    b45     9   | C13     8       2  | 6     a35     7  |
| 7       6      13  | C139    135     59 | 2      8      4  |
+--------------------+--------------------+------------------+
| 14      9      16  |  2     B35      67 | 47    A35     8  |
| 34     c45    d356 |De6-7    9       8  | 47     2      1  |
| 8       2      7   | C134    135    B45 | 35     6      9  |
+--------------------+--------------------+------------------+
| 6       7      4   |  8      2       1  | 35     9      35 |
| 9       1      2   |  5      4       3  | 8      7      6  |
| 5       3      8   | C79     6       79 | 1      4      2  |
+--------------------+--------------------+------------------+


Kraken Column (3)r24c8
(3-5)r2c8 = (5)r2c2 - r5c2 = (5-6)r5c3 = (6-7)r5c4
(3)r4c8 - (3=54)b5p29 - (4=1397)r2369c4 - (7)r5c4 => - 7r5c4; stte

Clement