# What kind of puzzle is this?

Hello, I found this puzzle in an old puzzle book, it's fun. Does anyone know if this kind of puzzle has a name, I want to find more, and maybe try making some. Thanks very much!

Here is the cover of the book:

• Welcome to the site! Could you be more specific about that "old puzzle book"? Knowing the exact source might help us to figure out the answer to your question. Commented Sep 19, 2023 at 14:28
• Thanks, happy to be here. The book is called Puzzle Time Book 3, published by Grandreams Books Ltd in 2007, I found it in a second hand shop in New Zealand. It's got all sorts of word, number and picture puzzles, but no other puzzle the same as this one here. Commented Sep 19, 2023 at 14:40
• I'd just call this type of puzzle a "maze"; it just looks a little different and you have to use the rules to figure out where the "walls" actually are... Commented Sep 19, 2023 at 14:47
• ..and the walls may not be static! Commented Sep 19, 2023 at 18:59

I've seen this be called "Mazes With Rules" or "Logic Mazes"

see: https://www.logicmazes.com/dec99.html for Robert Abbot's take on the term, and if you want more of them he's published some online https://www.logicmazes.com/ as well as in two books https://www.logicmazes.com/super.html and https://www.logicmazes.com/mad.html

Completely agreed, they're lovely. So much more maze per maze

• Aha you're right, the maze with the red-green-yellow dot sequence at logicmazes.com/super.html is the same concept. Thank you. I guess doing the sequence on graph paper squares like in the book really is an original idea, I love it. Commented Sep 19, 2023 at 23:40

Not the question, but for those curious about the answer to the maze:

Solve path:

Breadth first search backward eliminating dead ends, until we got:

Then it's forced until:

Then trial and error from the start to reach that square after passing through a 3. Not that hard since we get to dead ends pretty quickly in many of the branches.

Since you mentioned creating your own such puzzles, you should take a look at this post. Ultimately the key insight is that this kind of maze can be represented by a totally ordinary maze problem on a directed graph, so standard BFS can be applied from any end.