Convection
(Published on 3. January 2023, 00:20 by martiangentleman)
F-Puzzles
CtC
Normal Sudoku rules apply. Shade some cells as "hot". Rotate this shading 90° clockwise around the middle cell (r5c5) and mark these cells as "cold". Where "hot" and "cold" cells overlap, consider those cells "lukewarm." Lower digits (1,2,3) may only appear in purely "cold" cells. Middle digits (4,5,6) may only appear in "lukewarm" cells. High digits (7,8,9) may only appear in purely "hot" cells. Digits on an arrow add up to the number in the attached circle. Black dots connect cells in a 1:2 ratio. Not all points are given.
Link to a helper tool for hot/cold/lukewarm rotationSolution code: Row 8 followed by Row 9
Comments
on 4. February 2023, 00:23 by martiangentleman
I Added the helper to the description
on 4. February 2023, 00:19 by martiangentleman
Sorry for not seeing this comments sooner.
albertol.
If you mark a cell with "HOT" where it is was already "COLD" or if you find out that a cell needs to be "COLD" where it was already marked at "HOT" this cell will now be considered to be "LUKEWARM".
And sometimes you find a cell must be lukewarm because it has to be either 4,5 or 6. Therefore, you must mark it "HOT" and ensure it gets marked as "COLD" by rotation.
For example, if you thinking about it for more than about 2 seconds and you will realise the center cell MUST be LUKEWARM. Otherwise it will be left as nothing.... which it cant be.
When I was constructing I made this...
https://editor.p5js.org/martinv/full/XI0mCT_5k
It should self-explain how the "HOT" "COLD" rotation works.
on 4. February 2023, 00:15 by martiangentleman
Stingrayy
Only hot cells rotate to form cold cells. However.... there is an implication to this that would best be left to the solver to work out. It has to do with a rotation from a purely cold cell. The clue I would give is to remember that every cell is going to need to be something, either hot, cold or lukewarm. So what options would a cell have that is a clockwise 90 rotation from a (1,2,3) purely-cold cell?
