FMTC
(Published on 20. June 2023, 21:21 by Starstorm)
Jack Lance's puzzle,
FMTC converted to Penpa+, with additional rules clarification.
This is a series of logic puzzles. The goal is to draw closed loops. The loops must consist strictly of straight, vertical or horizontal segments and right angle turns.
You must infer the rules of how and where to draw the loops, which involve the grid's properties, and the shapes contained within. If you infer the correct new rule, or correct rule modification, each of the individual puzzles will have a unique solution. This means that if your rule set does not lead to a unique solution, then it is not correct.
There exists a single rule set, using which it is possible to correctly solve Sets 1-7. This means that any new rules or rule modifications you make should be consistent with your solutions of previous Sets (provided those solutions were in fact correct).
The Penpa links have answer checking, but only for green lines! Other colors won't work. The answer checking might not work in some of the puzzles due to technical reasons. If so, try drawing the very smallest of the line segments (and only those) with a different Sub option.
Set 1
Set 2
These puzzles might seem impossible or might seem to not have unique solutions.
If so, you probably have a correct, but incomplete set of rules (provided you were able to uniquely solve Set 1).
Set 3
Sets 4-6 all build upon the existing rules of Sets 1-3. Feel free to do them in any order.
Set 4
Set 5
Set 6
Set 7
STOP! Don't continue until you understand the rules of Sets 1-7!
Sets A and B do not require any new or modified rules, their rules are consistent with those of Sets 1-7.
Set A
Set B
STOP! Don't continue until you understand the lessons of Sets A and B!
Set ?
The rule set modifications of Set ? are not applicable to the previous sets, but you should now know enough to solve these puzzles.
Solution code: The number of cells without a line in them in Set ?'s puzzles in order, separated with hyphens. (eg. 5-12-0-3)
Last changed on on 27. July 2023, 01:23
Solved by CJK, Lurcane, damasosos92, Myxo, ClashCode, Palfly Kampling, Torvelo, The Book Wyrm, radarvillage, TriMarco, MZLBE, Dragonslayer, Agent
Comments
on 22. February 2025, 21:02 by Agent
Awesome puzzle, very creative and full of surprises!
on 21. May 2024, 10:50 by The Book Wyrm
Wow! This set of puzzles is truly incredible. Very enjoyable trying to figure out all the rules and understand what is going on.
A very impressive construction.
on 3. August 2023, 01:45 by damasosos92
What a ride!
on 3. August 2023, 01:44 by Myxo
What an incredible journey!
on 27. July 2023, 01:23 by Starstorm
Adjusted puzzle description to more closely match the original.
Last changed on 27. July 2023, 01:13on 23. July 2023, 17:27 by Lurcane
Straightforward and beautiful up until 7, B is fine as well, but I have no clue what I'm supposed to learn from A. I got valid solutions for all ? puzzles, but any constraints for unambiguous solutions I apply lead to a wrong solution code.
Not sure what I'm missing here :/
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Star: I'm guessing you're unable to solve Set A's puzzles with your rule set. Perhaps it's time to reconsider the basics back in Set 1... it might provide some new insights.
Last changed on 27. June 2023, 19:17on 26. June 2023, 04:55 by duyaa
The official title of the puzzle set is "FMTC". This initialism can ambiguously be read as either "from muddied/muddled to clean/clear" as seen on the front page of the puzzle set.
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Star: Oh, I hadn't even noticed that! The puzzle only keeps revealing more
on 25. June 2023, 00:33 by Starstorm
Fixed 6.4's solution in Penpa
on 22. June 2023, 01:24 by Starstorm
Added answer checking to Penpa+ links.
on 20. June 2023, 23:02 by Starstorm
Clarified initial rules to avoid some confusion.
