Elements of Trilogies
(Published on 29. February 2024, 05:39 by Kafkapharnaum)
The puzzles are presented here in alphabetical order, though as it is, the order of difficulty is probably the exact opposite, and the difficulty of each puzzle is not necessarily representative of the overall difficulty of its trilogy (Buttered Cat Paradox and Solaris are the hardests in these trilogies). Also, not represented here is the Standard Arrow Trilogy, leading to the Greater Doppelganger, as for this one, you can play the Lesser Doppelganger here, and here is a quick link to the last tiers of the trilogies
RULES
DOPPELGANGER
– Every row, column, and box contains the digit 0 always, as well as five out of the six digits from 1 to 6 (ie, it's missing one digit that is not 0)
– No two row, no two column, and no two box may be missing the same digit
– For each 0 in the grid, the digits missing in its row, its column, and its box must be three different digits, yet zero always has a null value
COORDINATE ARROWS
– Digits on an arrow spell out the coordinates for the digit that is their sum
– The row number is written on the start of the arrow, the column number is written on the arrow tip (eg, if an arrow looks like this: -1 4-> there must be a 5 in r1c4). All the arrows must correspond to different coordinates, though digits may repeat on an arrow if allowed by the other rules
SKYSCRAPERS (row 0 and column 0)
– The digits in the grid act as skyscrapers of heights corresponding to their values. Numbers outside the grid show how many digits that can be seen in the corresponding row/column. Taller buildings hide shorter buildings (none of the actual numbers, if any, are given; they would need to be deduced by the solver)
– For the purpose of skyscraper counting, the digit 0 is null, and does not count as a skyscraper
SPIRAL GALAXY
– The dots in the grid are the centers of non-overlapping, 180 degrees rotational symmetric galaxies. Each cell of the grid is part of a galaxy (1x1 galaxies can be valid, but they must have a center)
– The galaxies in this puzzle are made of a series of non-repeating consecutive digits in any order
DUTCH WHISPERS
– Adjacent digits along an orange line must differ by at least 4
XV
– Pairs of cells connected by a V must sum to 5 in total value
– Pairs of cells connected by an X must sum to 10 in total value
DOUBLERS
– Six cells in the grid are doublers, which means that a digit in such a cell counts as double in value
– There is exactly one doubler in each row, column, and box, and they form a set of the digits 1 to 6 (so a doubler cell cannot contain a 0)
The first Tier of the Trilogies
Comb Search
Dark Side of the Moon
Exclusive Whispers Club
Rebellion
Battle Royale*
*(for the Standard Arrow Trilogy - not shown here)
Solution code: For each puzzle, in order (I-II-III-IV), the digits in the four corner cells: top left, top right, bottom left, bottom right (16 digits total)
Comments
on 2. March 2024, 22:13 by chrisj50
A very enjoyable set of puzzles - a definite step-up from the 4x4 sets, and hopefully a launchpad to cracking the 9x9 big siblings! Thanks again
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Oh, there it is! Thanks so much for your solve(s) and comment, and congrats on beating Explorer's Guild not just once, but twice! (and both solves got counted too haha). I'm sure that pound for pound, it must be harder than Atlantis, even if of course, there'll always be more room for errors in a 9x9, but yeah, in any case, congrats! (And again I must point to 007 as the best step in-between these and the 'big siblings' ;-)
on 29. February 2024, 18:33 by Yann
Wow, this looks very interesting, I'll give it a go (and sorry for not being able to try buttered cat paradox, I haven't had much time lately) !
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Oh, hello again, and thank you for your interest in this one! I certainly understand not having time, and that's no problem regarding Buttered Cat, it's not going anywhere, you can come back to it any time you want!)
