3D Color (Original Sudoku Variant)
(Published on 3. September 2022, 13:22 by DarkOrange224)
This is the first puzzle that I created, and a bit unusual (please excuse the somewhat wordy rule description), but, after some initial visualization, it should be a rather smooth solve that includes lots of familiar logic.
Click here to solve it on F-Puzzles
⬤--〇--⬤--〇--⬤--〇--⬤--〇--⬤--〇--⬤--〇--⬤--〇--⬤--〇--⬤--〇
Rules:
Normal sudoku rules apply.
Every digit in the grid will be defined by up to three colors together. A digit can be blue (even) or orange (odd), red (higher than five), green (lower than five), or neither (five exactly), and purple (a perfect square or cube number) or yellow (other / 'imperfect'). For example, if a cell is found to be blue, green, and yellow, it will necessarily have to contain the only even, low, and imperfect number, two.
A colored dot in the corner of four cells indicates a preponderance in those cells (i.e. there are more of that color than the opposite). Note that a preponderance can be as few as two red or green cells if the foursome also contains a five, or as many as all four cells of the same color. Not all possible dots are given.
Solution code: Row 7
Comments
on 5. September 2022, 15:11 by britboy3456
Really loved this puzzle, but I do really agree that it is much more enjoyable to solve it on CTC than f-puzzles because of colouring a cell with multiple colours.
on 4. September 2022, 05:57 by AstralSky
Thanks! By the way, the CTC web app supports a cell be colored with more than one color. Maybe you can include a CTC link for puzzles like these.
on 4. September 2022, 03:25 by DarkOrange224
Yay - glad that you enjoyed it! =]
@AstralSky - I see that you found the answer already, but for any with similar first thoughts, some more clarification:
(WARNING, SLIGHT SPOILERS AHEAD)
Each cell actually has multiple colors at once. This may be hard to show on some software, but when I test it I just use color for the first dimension solved, then numbers (the remaining possibilities) for the other passes. So, yes, a red dot can definitely have four purple around it (in one dimension), and also maybe three red (in another dimension) and also maybe three blue (in the final dimension). This would mean that at least two of the numbers are the same, namely eight (purple for perfect, red for high, blue for even), and therefore they would have to be diagonally offset... I hope that this helps someone to enjoy the puzzle more.
on 4. September 2022, 02:45 by DarkOrange224
Updated German.
Thanks, @Raumplaner!
on 3. September 2022, 17:08 by AstralSky
Very fun and creative puzzle!
on 3. September 2022, 14:41 by Leonard Hal
A nice puzzle. I'm looking forward to more of your puzzles
on 3. September 2022, 13:34 by AstralSky
Question.Does the preponderance just apply to a pair of colors, or to all other colors?(example:if it is possible to have 4 purple cells around a red dot?)
