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Aussagekraft einer Zahl beim Pünktchensudoku

(Published on 5. March 2012, 14:28 by ibag)

I'm interested in the significance which has a digit in a Pünktchensudoku with numbers from 1 to 9. Here is a number n the more significant, the more neighbors the number has and the more significant these neighbors are themselves.

Find an an appropriate rating system. Each digit n has a positive value a(n), which is proportional to the sum of the values of alle existing neighbors. In order to normalize, the sum of all values a(n) has to be 1.

Solution code: The formula for a(n). Please note: Avoid sums, differences and quotients. Write factors in alphabetic order and without dot. Use brackets if necessary. Use degree instead of radian measure.

Last changed on on 5. March 2012, 18:27

Solved by deu, pokerke, martin1456, uvo, Alex, Luigi, dm_litv, jessica6, Feadoor
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Comments

on 18. July 2019, 13:38 by jessica6
sehr schönes und unerwartetes Ergebnis.

on 26. September 2015, 18:43 by dm_litv
Beautiful!
The main idea was clear for me, but
it was hard to express the normalisation coefficient as the value of the formula.

on 13. November 2012, 14:28 by ibag
@StefanSch: Dein Ausdruck stimmt jedenfalls. Aber zum Vereinfachen hab ich eine halbe Seite gebraucht, und ohne komplexe Zahlen waere es wahrscheinlich noch sehr viel aufwaendiger gewesen. Vielleicht waere es einfacher zu versuchen, den Faktor gleich in einer anderen Gestalt zu bekommen.

on 22. March 2012, 10:13 by Luigi
Waaaahnsinn!
Mit erheblich viel Nachhilfe und gewaltigem Aha Effekt geschafft.

Für mich ein 6 Sterne Rätsel

on 17. March 2012, 11:28 by Alex
Eureka!!!
Mit einigen geduldigen Nachhilfestunden von Gabi durchgekaempft:D
Geniale Loesung!

on 5. March 2012, 18:27 by ibag
Tippfehler

on 5. March 2012, 15:40 by deu
Beautiful formula!

Difficulty:4
Rating:N/A
Solved:9 times
Observed:4 times
ID:0001B9

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