Base 2 (Dynamic Fog)
(Published on 28. March 2026, 15:12 by Hanks)
I tried to build a puzzle using this ridiculous rule: "the value of a cell equals 2 to the power of N, where N is the digit in the cell". Thanks to FIT7Y, northernwhale, and many others for testing. I hope you enjoy the puzzle!
Rules:Fill the grid with the digits 0-8 such that every row, column, and 3x3 box contains each digit exactly once. The value of a cell equals 2 to the power of N, where N is the digit in the cell. Note that 2 to the power of 0 equals 1.
KROPKI DOTS: values of cells separated by a white dot are consecutive. Values of cells separated by a black dot are in a 1:2 ratio.
XV: values of cells separated by an X sum to 10. Values of cells separated by a V sum to 5.
ARROWS: values of cells on an arrow MAY repeat, and must sum to the value of the cell containing the attached circle.
GERMAN WHISPER LINES: values of adjacent cells on a green line have a difference of at least 5.
REGION SUM LINES: box borders divide blue lines into segments. The sum of values of cells on each segment is the same. The sum may be different for different blue lines.
KILLER CAGES: values of cells in a cage MAY repeat, and must sum to the given cage total in the leftmost cell of the topmost row of the cage.
DYNAMIC FOG: entering a correct digit clears fog in its cell, and may or may not clear fog in other cells.
Solution code: Digits in row 4
Comments
on 6. September 2026, 17:18 by dr.Bunsen
Great puzzle! I found the innovative power of 2 mechanics rather straightforward, but at one point I got stuck with two possibilities and coudld't rule out either of them. I had to fork, using pencilmarks carefully to avoid clearing the fog. One fork led me to a contradiction in few steps. Apparently I must have missed something.
on 5. September 2026, 09:00 by s1mn
One of my favourite puzzles of all time. Such a great construction, and really fun to solve. Thanks!
on 4. September 2026, 22:11 by ch3ka
Wow, I'm fairly familiar with the powers of two, but those were some weird and wonderful deductions to make.
on 22. April 2026, 00:26 by bleppie
I like how you changed everything to base 2 but kept the kropki/german/cage rules the same. Mixes things up. Like others have said, if you're familiar with binary this isn't too bad. Thanks!
on 2. April 2026, 22:31 by drharib0
Excellent setting and fun solve. I guess it’s two stars if you’re familiar with binary arithmetic.
Very enjoyable
on 31. March 2026, 20:50 by EvaristeLogic
Great puzzle thank you! The base 2 region sum lines are fantastic :)
on 31. March 2026, 15:45 by EvaristeLogic
Great puzzle thank you! The base 2 region sum lines are fantastic :)
on 30. March 2026, 07:41 by thomamas
Silly and clever. I vote for two star as well, wasn't as hard as I expected.
on 29. March 2026, 08:40 by Chaossudokusplease
Very fun, wouldn’t mind another base 2 puzzle to play with this idea some more
on 28. March 2026, 21:35 by CitrusGremlin
Fun puzzle! Lots of silly logic. I think 2 stars is the correct difficulty, but only if you are already familiar with the 2^n series and binary shenanigans.
on 28. March 2026, 19:34 by Myfyr MJ
Tough, no way this is 2 star surely?
on 28. March 2026, 17:37 by hardline35
Wow, it was not so easy but solvable. Nice puzzle, thank you!
on 28. March 2026, 16:35 by wjdrumm
Really interesting idea!
on 28. March 2026, 15:47 by ademjaz
Very enjoyable, thanks!
