Anti-Knight Anti-King Magic Square
(Published on 25. January 2021, 01:46 by Ryx)
I got to thinking about making Ant-Knight constraints a little more restrictive. But in the end, what I thought might be a new rule, was just Anti-Knight combined with Anti-King, which has been done many times before. I thought that my presentation gave people a different way of thinking (Knight's perimeter) about solving the same old problem (anti-knight plus anti-king). But, in too many cases, it was just causing confusion (especially in translation). "No need to come up with a new name for something we already have".
And for those that are interested, the Chess Knight in German is known not as "Ritter". That is the literal translation for the word "knight". In German it is called "Springer" (thanks to Rollo for pointing this out). Here is a great resource, for the chess piece names, in many languages: http://www.shakki.net/kerhot/KemTS/nap-pieces.htm
- Normal Sudoku rules apply
- Both the central box and the highlighted (green) squares form magic squares (all rows, columns and diagonals sum to 15).
- Digits must increase along the thermometer, starting at the bulb end
- Anti-knight constraint: No digit may be repeated on any square that is a chess Knight's move away from itself
- Anti-king constraint: No digit may be repeated on any square that is a chess King's move away from itself
- All columns, within each box, sum to 15. You can think of this as killer cages. I have provided am alternate link for that version, if you prefer. I found it too cluttered.
- Quadruple constraint: Numbers in the small white cirlce must appear in one of the adjoining squares
Click this link to play the puzzle on F-Puzzles or this link with killer cages added
Solution code: Row 5, Column 5, 18 Digits, no spaces or comma
Comments
on 17. February 2021, 18:58 by Göran H
Thank you for a very fun puzzle! I liked the ruleset, and I do like the idea to think of anti-knight and anti-king as knight's perimeter.
@ Göran H - Thanks for the feedback! Glad you enjoyed it (and its intent). I am thinking of doing a "proper" Knight's perimeter puzzle, using a Long Knight's constraint. But that will likely require some special rules, since that would cover/eliminate a lot of territory.
on 27. January 2021, 05:05 by Ryx
Changed the title and rules, to use standard terms/rules. Thanks to SKORP17, apendleton and Rollo for their input!
Titel und Regeln geändert, um Standardbegriffe/Regeln zu verwenden. Danke an SKORP17, apendleton und Rollo für ihren Beitrag!
on 26. January 2021, 15:12 by Rollo
Gefällt mir, ganz nett für zwischendurch.
on 25. January 2021, 17:11 by Ryx
Fixed typo in: Quadruple constraint (English and German)
on 25. January 2021, 16:28 by SKORP17
meine Lösung wird nicht akzeptiert, obwohl die Regeln eingehalten sind, gilt denn auch Anti-King?
@SKORP17 Ja, effektiv ist meine "neue Regel" nur Anti-Knight plus Ant-King. Das habe ich erst gemerkt, als ich mit dem Rätsel fertig war und angefangen habe zu testen.
on 25. January 2021, 10:04 by apendleton
This was fun and novel. Very complicated ruleset, though -- hard to keep everything in my head (the radius one in particular).
@apendleton Thanks for the feedback. I thought it was a novel idea, at first ;-) And I really had a hard time defining that rule, in words ... in my head it was easy. Maybe I should have called it Knight's circle or Knight's perimeter. That would have been good, like the 1 is defending his perimeter against other 1s ;-)
