Sorry if any of the info in this question isn't needed, I'm for some reason just really used to putting a lot of info/additional resources into my questions lol.

So as you may or may not know, I recently posted my first Hokuro puzzle.[1] A while after I posted it, I got this comment from @sarsaparilla[2] :

Very cool that you created a hokuro puzzle as well! It seems to be missing clues in R8C3 and R5C7 though?

Okay, so that's my fault. Those are also clues that I accidentally missed when posting the question and after my first edit. However I have a question:

Say I have the directions "west" $←$ and "southwest" $↙$. If I add them together, would I get$$\begin{align}\text{directions version:}&\quad←+↙\,=\,←+←+↓\,=\,↙\\\text{text directions version:}&\quad\text{west}+\text{southwest}=\text{west}+\text{west}+\text{south}=\text{southwest}\end{align}$$or what would I do to add those two directions together, or is my Hokuro puzzle immediately invalid if I have to add those directions together?



[2]The creator of Hokuro.

For those who didn't know (will edit out if unneeded):

  1. Hokuro was first created on December 2nd, 2020 as an entry for Fortnightly Topic Challenge #44: Introduce a new grid deduction genre to the community. (The official introduction to Hokuro was the highest voted out of the 14 new genres with a total of 25 votes and 2nd most viewed with 668 views by the end of the fortnight.) [Source]
  2. Hokuro is short for 方向クロス (romaji: hōkō kurosu) which is gotten by translating "direction cross" from English to Japanese. (easily confirmable using DeepL Translate, romaji originally gotten using Google Translate)

1 Answer 1


From the comments in your [2] link:

Will the sum always be an exact multiple of 45 degrees? For example, the sum → + ↘ is invalid?
– Matthew Jensen, Dec 2, 2020 at 10:51

@MatthewJensen Yes, the sum will be an exact multiple of 45 degrees.
– sarsaparilla, Dec 2, 2020 at 11:06


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.