Midpoints
(Eingestellt am 23. November 2021, 07:11 Uhr von SSG)
Consecutive pairs: Cells separated by a white dot must contain consecutive digits. Not all white dots are given.
Midpoints: The shaded cells contain one set of the digits 1-9. For each shaded cell there are pairs of cells in the grid such that the shaded cell is at the midpoint of the line connecting the pair and the digit in the shaded cell is the average of the digits in the pair. The number of such pairs for a given shaded cell is equal to the smallest prime factor of the digit it contains (to avoid ambiguity, there will be exactly 1 pair for the 1). The following graphic demonstrates three possible pairs.
A 6x6 puzzle demonstrating this ruleset can be found here: https://logic-masters.de/Raetselportal/Raetsel/zeigen.php?id=00099S
This puzzle can be played here:
f-puzzles: https://f-puzzles.com/?id=ye7g7z66
CTC: https://tinyurl.com/w24ptuyd
Lösungscode: Row 9 + Column 6 (18 digits)
Kommentare
am 13. März 2022, 23:19 Uhr von ICHTUES
Fantastic puzzle and very cool ruleset too. Once I've got my head around it, it isn't that hard anymore.
The puzzle deserves more solves!
-Thanks! I'm quite fond of this one myself. -SSG
am 4. März 2022, 07:31 Uhr von SSG
Added sample graphic and link to Mini Midpoints.
am 23. November 2021, 21:46 Uhr von henrypijames
Really tight solution path, 3½ stars difficulty for me.
am 23. November 2021, 19:34 Uhr von Siebuhh
Very nice puzzle! I expected some bifurcation but it was not necessary, counting pairs was enough
am 23. November 2021, 11:53 Uhr von steelwool
I don't understand how 9 is placed. The smallest prime factor of 9 is 3, I cannot see anywhere I can place 3 lines. Am I misunderstanding something?
-It is possible to place three pairs of digits that have the proper relation to the shaded 9. -SSG
-- oh, of course it is! Devious, I like it (now it just got much harder!)
