I have similar difficulties with most methods used to find fish patterns. However, not long ago I ran across Arcilla’s article in the other forum entitled, "a new (?) view of fish (naked or hidden)"
http://www.sudoku.com/boards/viewtopic.php?t=5017. His technique is easy to apply and seems to find both regular and certain other finned and “almost” fish patterns by using simple row/column listings.
Ruud’s Jellyfish example in the Sudoku Solving Guide has the following unresolved 9’s grid:
Code: Select all
9 . . | . . 9 | . . .
. . 9 | . . 9 | . . .
. . . | . . . | . . .
------+-------+------
. . . | 9 . . | 9 . .
9 9 9 | . 9 . | 9 . .
. . 9 | . 9 . | . . .
------+-------+------
. . . | 9 . . | . 9 .
9 . 9 | . 9 . | . . .
. 9 9 | . . . | . 9 .
Arcilla’s two lists for the above grid would appear as:
Col numbers, per row: (16)(36)(-)(47)(12357)(35)(48)(135)(238)
Row numbers, per col: (158)(59)(25689)(47)(568)(12)(45)(79)(-)
As pointed out in this forum by Myth Jellies (7/4/07), Arcilla’s technique converts fish into either hidden or naked sets, which are then relatively easy to spot. For example, the above list of column numbers (per row) reveals the naked “quad”, (16)(36)(35)(135), which is simply the (row) Jellyfish in rows 1,2,6 and 8, respectively.
Similarly, the above list of row numbers (per column) reveals the naked “quad”, (59)(47)(45)(79), which is the complementary (column) Jellyfish in columns 2,4,7 and 8, respectively.
It appears that each of the above lists contains both a naked Jellyfish and its complementary hidden Jellyfish. One can reveal the hidden complement by eliminating the naked “candidates” from the other “cells” in the list, as is routinely done with naked/hidden subsets in a regular Sudoku house. The eliminated “candidates” are the same as those that would normally be eliminated by the Jellyfish.