Difference between revisions of "Franken Jellyfish"

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{{grid|1='''n'''|2='''n'''|3=/|4=/|5='''n'''|6=/|7='''n'''|8=/|9=/|10='''n'''|11='''n'''|12=/|13=/|14='''n'''|15=/|16='''n'''|17=/|18=/|19=e|20=e|23=e|25=e|28=e|29=e|32=e|34=e|37='''n'''|38='''n'''|39=/|40=/|41='''n'''|42=/|43='''n'''|44=/|45=/|46=e|47=e|50=e|52=e|55='''n'''|56='''n'''|57=/|64='''n'''|65='''n'''|66=/|73='''n'''|74='''n'''|75=/}}
{{grid|1='''n'''|2='''n'''|3=/|4=/|5='''n'''|6=/|7='''n'''|8=/|9=/|10='''n'''|11='''n'''|12=/|13=/|14='''n'''|15=/|16='''n'''|17=/|18=/|19=e|20=e|23=e|25=e|28=e|29=e|32=e|34=e|37='''n'''|38='''n'''|39=/|40=/|41='''n'''|42=/|43='''n'''|44=/|45=/|46=e|47=e|50=e|52=e|55='''n'''|56='''n'''|57=/|64='''n'''|65='''n'''|66=/|73='''n'''|74='''n'''|75=/}}
* Rotate this diagram 90 degrees for a Franken Jellyfish '''cccb-rrrr'''.
* Swap '/' with 'e' for a Franken Jellyfish '''cccc-rrrb'''.
:* Rotate it 90 degrees for a  Franken Jellyfish '''rrrr-cccb'''.


=== Franken Jellyfish rrbb-cccc ===
=== Franken Jellyfish rrbb-cccc ===
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{{grid|1='''n'''|2='''n'''|3=/|4='''n'''|5='''n'''|6=/|7=/|8=/|9=/|10=e|11=e|13=e|14=e|19=e|20=e|22=e|23=e|28='''n'''|29='''n'''|30=/|31='''n'''|32='''n'''|33=/|34=/|35=/|36=/|37=e|38=e|40=e|41=e|46=e|47=e|49=e|50=e|55='''n'''|56='''n'''|57=/|58='''n'''|59='''n'''|60=/|64='''n'''|65='''n'''|66=/|67='''n'''|68='''n'''|69=/|73='''n'''|74='''n'''|75=/|76='''n'''|77='''n'''|78=/}}
{{grid|1='''n'''|2='''n'''|3=/|4='''n'''|5='''n'''|6=/|7=/|8=/|9=/|10=e|11=e|13=e|14=e|19=e|20=e|22=e|23=e|28='''n'''|29='''n'''|30=/|31='''n'''|32='''n'''|33=/|34=/|35=/|36=/|37=e|38=e|40=e|41=e|46=e|47=e|49=e|50=e|55='''n'''|56='''n'''|57=/|58='''n'''|59='''n'''|60=/|64='''n'''|65='''n'''|66=/|67='''n'''|68='''n'''|69=/|73='''n'''|74='''n'''|75=/|76='''n'''|77='''n'''|78=/}}


In this example, the defining set contains [[row]]s 2 & 8 and boxes 4 & 6. The secondary set contains [[column]]s 2, 3, 7 & 8. All the [[candidate]]s in the defining set (marked with '''X''') are located inside the secondary set. The remaining candidates from these 4 columns can be eliminated.
In this example, the defining set contains [[row]]s 1 & 5 and boxes 7 & 8. The secondary set contains [[column]]s 1, 2, 4 & 5. All the [[candidate]]s in the defining set (marked with '''n''') are located inside the secondary set. The remaining candidates from these 4 columns can be eliminated.


==== Configurations Which Look Like Franken Jellyfish but Are Not ====
==== Configurations Which Look Like Franken Jellyfish but Are Not ====


This configuration using 2 non-aligned boxes dissolves into 3 [[Locked Candidates]] steps.
This configuration using 2 rows in the same [[floor]] dissolves into 3 [[Locked Candidates]] steps.
 
{{grid|1='''n'''|2='''n'''|3=/|4='''n'''|5='''n'''|6=/|7=/|8=/|9=/|10='''n'''|11='''n'''|12=/|13='''n'''|14='''n'''|15=/|16=/|17=/|18=/|19=e|20=e|22=e|23=e|28=e|29=e|31=e|32=e|37=e|38=e|40=e|41=e|46=e|47=e|49=e|50=e|55='''n'''|56='''n'''|57=/|58='''n'''|59='''n'''|60=/|64='''n'''|65='''n'''|66=/|67='''n'''|68='''n'''|69=/|73='''n'''|74='''n'''|75=/|76='''n'''|77='''n'''|78=/}}
 
; Solving path
* Locked Candidates 1 in box 3 + row 3: eliminate remaining candidates in row 3.
* Locked Candidates 2 in box 1 + 7 with columns 1 + 2: eliminate candidates in box 4 for columns 1 + 2.
* Locked Candidates 2 in box 2 + 8 with columns 4 + 5: eliminate candidates in box 5 for columns 4 + 5.
 
 
This configuration using 2 non-aligned boxes also dissolves into 3 [[Locked Candidates]] steps.


{{grid|1='''n'''|2='''n'''|3=/|4='''n'''|5='''n'''|6=/|7=/|8=/|9=/|10='''n'''|11='''n'''|12=/|13='''n'''|14='''n'''|15=/|16=/|17=/|18=/|19=e|20=e|22=e|23=e|28=e|29=e|31='''n'''|32='''n'''|33=/|37=e|38=e|40='''n'''|41='''n'''|42=/|46=e|47=e|49='''n'''|50='''n'''|51=/|55='''n'''|56='''n'''|57=/|58=e|59=e|64='''n'''|65='''n'''|66=/|67=e|68=e|73='''n'''|74='''n'''|75=/|76=e|77=e}}
{{grid|1='''n'''|2='''n'''|3=/|4='''n'''|5='''n'''|6=/|7=/|8=/|9=/|10='''n'''|11='''n'''|12=/|13='''n'''|14='''n'''|15=/|16=/|17=/|18=/|19=e|20=e|22=e|23=e|28=e|29=e|31='''n'''|32='''n'''|33=/|37=e|38=e|40='''n'''|41='''n'''|42=/|46=e|47=e|49='''n'''|50='''n'''|51=/|55='''n'''|56='''n'''|57=/|58=e|59=e|64='''n'''|65='''n'''|66=/|67=e|68=e|73='''n'''|74='''n'''|75=/|76=e|77=e}}
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* Locked Candidates 2 in box 2 + 5 with columns 4 + 5: eliminate candidates in box 8 for columns 4 + 5.
* Locked Candidates 2 in box 2 + 5 with columns 4 + 5: eliminate candidates in box 8 for columns 4 + 5.


A configuration with 2 boxes sharing the same 2 columns (swap boxes 4 and 5 in the diagram above) would not work either, because a hidden single is detected in the remaining column intersecting those boxes. This isolates the 2 boxes from the 2 rows.
A configuration with 2 boxes sharing the same 2 columns (swap boxes 4 and 5 in the diagram above) would not work, because locked candidates in box 3 + row 3 would eliminate the last candidate from column 3, leaving the puzzle unsolvable.


== See Also ==
== See Also ==

Latest revision as of 12:27, 6 November 2021

The Franken Jellyfish is a fish pattern of the Franken Fish type. This type allows either the defining set or the secondary set to contain boxes, as well as lines.

Franken Jellyfish rrrb-cccc

This is a fish diagram of a Franken Jellyfish with a defining set of 3 rows with 1 box and a secondary set of 4 columns.

n n /
n n /
e e  
/ n /
/ n /
  e  
n / /
n / /
e    
e e  
n n /
e e  
  e  
/ n /
  e  
e    
n / /
e    
n n /
n n /
n n /
     
     
     
     
     
     
  • Rotate this diagram 90 degrees for a Franken Jellyfish cccb-rrrr.
  • Swap '/' with 'e' for a Franken Jellyfish cccc-rrrb.
  • Rotate it 90 degrees for a Franken Jellyfish rrrr-cccb.

Franken Jellyfish rrbb-cccc

Here we see a Franken Jellyfish with a defining set of 2 rows with 2 boxes and a secondary set of 4 columns.

n n /
e e  
e e  
n n /
e e  
e e  
/ / /
     
     
n n /
e e  
e e  
n n /
e e  
e e  
/ / /
     
     
n n /
n n /
n n /
n n /
n n /
n n /
     
     
     

In this example, the defining set contains rows 1 & 5 and boxes 7 & 8. The secondary set contains columns 1, 2, 4 & 5. All the candidates in the defining set (marked with n) are located inside the secondary set. The remaining candidates from these 4 columns can be eliminated.

Configurations Which Look Like Franken Jellyfish but Are Not

This configuration using 2 rows in the same floor dissolves into 3 Locked Candidates steps.

n n /
n n /
e e  
n n /
n n /
e e  
/ / /
/ / /
     
e e  
e e  
e e  
e e  
e e  
e e  
     
     
     
n n /
n n /
n n /
n n /
n n /
n n /
     
     
     
Solving path
  • Locked Candidates 1 in box 3 + row 3: eliminate remaining candidates in row 3.
  • Locked Candidates 2 in box 1 + 7 with columns 1 + 2: eliminate candidates in box 4 for columns 1 + 2.
  • Locked Candidates 2 in box 2 + 8 with columns 4 + 5: eliminate candidates in box 5 for columns 4 + 5.


This configuration using 2 non-aligned boxes also dissolves into 3 Locked Candidates steps.

n n /
n n /
e e  
n n /
n n /
e e  
/ / /
/ / /
     
e e  
e e  
e e  
n n /
n n /
n n /
     
     
     
n n /
n n /
n n /
e e  
e e  
e e  
     
     
     
Solving path
  • Locked Candidates 1 in box 3 + row 3: eliminate remaining candidates in row 3.
  • Locked Candidates 2 in box 1 + 3 with columns 1 + 2: eliminate candidates in box 4 for columns 1 + 2.
  • Locked Candidates 2 in box 2 + 5 with columns 4 + 5: eliminate candidates in box 8 for columns 4 + 5.

A configuration with 2 boxes sharing the same 2 columns (swap boxes 4 and 5 in the diagram above) would not work, because locked candidates in box 3 + row 3 would eliminate the last candidate from column 3, leaving the puzzle unsolvable.

See Also

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