Tag Archives: nice loop

Departing Highlights on Bean’s Extremely Hard Sudoku


It’s time to wind up the volume 10 review, with a few highlights behind the review table. The first one is the very unusual basic trace of IV-12, the homework puzzle of the previous post. You have the characteristic Extremely … Continue reading

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Only Extreme 390 – a Fitting Finale


In this post, the last preselected Sudoku of the review, Only Extreme 390, is solved by only advanced methods, but by an extremely thin margin.  The first crack in the armor is an irregular XYZ-wing. At first I missed an … Continue reading

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A Chicken Chok’in Checkpoint on Unhidden Chains


This post checkpoints Royle 17-16774, a rare example in The Hidden Logic of Sudoku of conjugacy chains dealing with a monster cloud of candidates. The checkpoint also catches SudoRules dismembering a “useless” XY nice loop that somehow sneaked into THLS. … Continue reading

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THLS Limps In On Chains


This post identifies the conjugacy chain, the last fundamental chain type to be introduced in The Hidden Logic of Sudoku, as a weakened X-chain.  Since the last few chapters introduce extensions for XY chains, it becomes clear that THLS is … Continue reading

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Tough, But Not So Nasty


Continuing with the review of Frank Longo’s The Nastiest Sudoku Book Ever, a sysudokie faces another hard judgement on a Single Alternate Sue de Coq, in Nastiest 662. If the trial is archived, the puzzle withstands major blows before giving … Continue reading

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A Second Cluster for the HM Easter Monster


This post continues the Hanson and Barans attack on their Easter Monster with trials of a slink between the 4/6 candidate loops in the W and S blocks. The pair of trials required to do this will either prove the … Continue reading

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