Skyscraping Notation Glossary
Walkthrough Foreword Primer Terminology The Game Plan The Adventure Clueless
Techniques Guesswork, I’m Guessing? Skylining Pencilmarks Haven Couples Pinpoint Firing Range Recursion & Abstraction
Cases Silhouette Stairs Lighthouse Blockade Meet in the Middle Leap of Faith Slide Hideout High-Rise Middle Ground Higher-Rise Successor Outflanked
Showerthoughts The Discrete Difficulty of Size Satisfaction Imagination vs Guesswork Mistakes Nontriviality
Solutions 6x6: Hyperthetical 6x6: The Power of Sudoku 5x5: A Curious Crossways
Info Synopsis FAQ AI decoded Licence

Cases

Specific strategies in specific scenarios

As you solve Skyscrapers, you’ll no doubt pick up loads of tiny deductions that you can apply in under very specific circumstances. In these pages, I cover those that I’ve found.

  • Case: Blockade
  • Case: Hideout
  • Case: High-Rise
  • Case: Higher-Rise
  • Case: Leap of Faith
  • Case: Lighthouse
  • Case: Meet in the Middle
  • Case: Middle Ground
  • Case: Outflanked
  • Case: Silhouette
  • Case: Slide
  • Case: Stairs

How to Use Cases

As you can see, there’s a lot of cases, and I’m always adding more. This is because there’s pretty much no limit to specificity!

In each page, you’ll find a quick, general summary at the very start. If it’s your first time reading about that case, you might find the summary quite dense and abstract. Afterwards, I include a number of concrete examples, from which you might be able to intuitively figure out exactly how the case works.

The most important part is the explanation, where I cover the logic behind why the case works. This isn’t meant to be just for the curious, it’s how you learn and internalise the case (and become a better puzzle solver!).

Finally, where I can I’ve added some challenge puzzles to help test your understanding. They’ll increase in complexity, with the final challenges often requiring deductions from other cases. This is all to build your familiarity with applying the cases in a real puzzle.

This is my recommended reading order, but you can really use the pages however you like – maybe you want to understand the logic first before looking at the examples, or maybe you’ll skip the potentially confusing summary. It’s up to you =)

Reminders

  • Memorising the cases isn’t really the point – it’s about understanding the logic behind them. In fact, once you fully internalise the logic, they’ll probably start to seem obvious.

  • A lot of cases are generic – they’ll apply even in puzzles of different sizes. (This is why you’ll often see me using numbers relative to N)

  • While a case may not be applicable initially, with further deductions you may reach a state where you can apply it. Always be on the lookout, don’t be afraid to look over lanes you’ve already checked!

Skyscraping by Sup#2.0

CC BY-SA 4.0