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Killer Tetrakis Square http://www.rcbroughton.co.uk/sudoku/forum/viewtopic.php?f=13&t=1381 |
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Author: | h3lix [ Mon Jun 20, 2016 4:08 am ] |
Post subject: | Killer Tetrakis Square |
I've been working on some new puzzles styles for my blog and I concocted one that might be of interest here. The constraints are based on Aziz Ates' Triangular Skyscrapers puzzle in the 2016 US Puzzle Championship practice test. Rules Place numbers in the triangular cells, one number per cell, such that each of the four rows and columns contains the numbers from 1-8 exactly once. Additionally, each number must appear exactly once in each of the four triangle orientations (pointing NE, NW, SE, SW). As in Killer Sudoku, cages enclose non-repeating groups of numbers which must add up to the indicated sum. |
Author: | HATMAN [ Thu Sep 15, 2016 8:40 am ] |
Post subject: | Re: Killer Tetrakis Square |
I'm have had real problems with this one and put it to one side. I am obviously missing something. Before I have another go has anyone solved it? On going through old posts I came across a format from H3lix in 2008 that embedded a 4*4 sudoku in the normal grid. I've created a few puzzles on this basis most of which I will post on the players forum. |
Author: | wellbeback [ Thu Sep 29, 2016 6:28 pm ] |
Post subject: | Re: Killer Tetrakis Square |
Thanks for bringing this to may attention HATMAN! Nice one h3lix! It started off very easy then got hard fast! Here is my WT. Killer Tetrakis Square WT: |
Author: | Andrew [ Mon Oct 31, 2016 2:51 am ] |
Post subject: | Re: Killer Tetrakis Square |
Welcome back h2lix! My first problem was how to set up the diagram in an Excel worksheet. I eventually decided on this grid format, with each cell having two rows on my solving worksheet. After the early easy steps I used a forcing chain, which gradually got longer as I got more and more out of it. It reminded me that some years ago udosuk told me that I ought to learn to look further into my steps. Here is my walkthrough: Solution: |
Author: | h3lix [ Sun Nov 13, 2016 2:09 am ] |
Post subject: | Re: Killer Tetrakis Square |
This is actually my first puzzle of this type. My creation path started out identical to wellbeback's for steps 1 and 2, but then it looks like I tested different constraining values for the unmarked cages. The numbers outside the grid pointing to the cages indicate the order I set their sums, which points to my solve path. I use underlines and circles as a notation for cells whose pencilmarks are connected. For every circled cell, either the values on the left are true or the values on the right are true. Hidden Text: I tried it again last night and came up with this solve path after wellbeback's step 2: Notebook Hidden Text: Solve Path Hidden Text: Here's one I made for the LMI Kaleidoscope competition. |
Author: | Andrew [ Sun Nov 20, 2016 2:45 am ] |
Post subject: | Re: Killer Tetrakis Square |
Thanks for another nice puzzle. If anyone is interested, there are several more by clicking on Puzzle Blog on h3lix's posts. This was about the same level of difficulty as the first one. Here is my walkthrough for the second puzzle: Solution: And here is a slightly simplified walkthrough using the feature pointed out by h3lix in the next post. Alternative Walkthrough: |
Author: | h3lix [ Mon Nov 21, 2016 11:41 am ] |
Post subject: | Re: Killer Tetrakis Square |
Hidden Text: I actually had to tone this one down for the competition because the test solvers couldn't crack it. I'm not even 100% sure I could either. My test solves averaged about 2 hours each and involved a mess of interconnected algebraic pencilmarks. Here is the original version, which I've never released: |
Author: | Andrew [ Tue Nov 22, 2016 11:31 pm ] |
Post subject: | Re: Killer Tetrakis Square |
h3lix wrote: Thanks for that comment: |
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