A group of New York friends have asked me to DM a short Pathfinder session for them, which means the last couple days have been spent rummaging through my notes from the last campaign I ran, which was about four years ago, back in Washington State, with about 7 people. It ended up being a fantastic experience, despite the fact that, over the course of that 8-month campaign, every character tried to kill themselves at least once out of a combination of despair and existential angst.
But this group doesn’t know that.
The Pathfinder session is going to take place in the fantasy world I’ve established in my stories, which means house-ruling a lot of the magic. It also means I end up spending hours on designing extremely complex puzzles for my players.
This particular puzzle stopped being a puzzle at about the 3-hour mark and became an Occult Triangle Lab project. It’s got everything: triangles, some research into magnetism, mathematics, and a practical application in a fantasy setting.
These are my notes for a spell map that will allow one of the mages to enchant a piece of magnetite so that it becomes a strong, permanent magnet. This is meant to be a major plot point in the upcoming session, so I wanted to take some extra time to create something more engaging, rather than just have the players roll a dice and beat a hard DC.
The rabbit hole I fell down was creating a spell map for the enchantment (If you haven’t read my post on spell maps, you can check it out here). After reading up on magnetite, which is the source of naturally occurring magnets called lodestones, I found that it naturally forms octahedrons. Rather than having players working on a 3-D puzzle, I drew out a 2-D version of an octahedron on graph paper and started seeing if I could make a sort of Sudoku puzzle:
The idea was that the spell map would be a miniature octahedron, reflecting the crystalline structure of magnetite, but the sudoku idea didn’t work out so well. Still, the diamond pattern ended up forming some interesting patterns: the octahedrons in magnetite are actually formed by thousands of smaller octahedrons, so it was cool to graph out a spell map that was made up of small versions of itself (huzzah, it’s recursive!).
But I wanted the players to feel like they’re actually learning about magic rather than just doing a stock puzzle, so I started seeing if I I could weave information about magnetite into the puzzle, such as its melting point, durability, metallic qualities, etc.
But that didn’t lend itself to puzzle solving. I took a look at the cool, nested design of the 2-D octahedron and thought maybe it would be fun for the player to use the patterns found in magnetism itself to solve the puzzle. I tried superimposing the lines of magnetic pull on the octahedron pattern:
I found out I could superimpose the patterns in a simple bar magnet on a lattice of octahedrons to create a pretty cool design that might have the material needed for a puzzle: structure, patterns, and a goal. That led to this design:
The idea would be to build a sort of “connect-the-dots” puzzle built on the patterns in both magnetism and the structure of magnetite, with the player following rules to recreate the design formed by the magnetic paths (which are like big loops radiating out from the North and South poles).
Below are some of the important graph points I isolated (along with the qualities of magnetite). At the center are the two poles, with the outer dots forming the boundaries of the magnetic patterns. These are meant to form the guidelines of the puzzle, which will require the player to do some tracing to recreate the drawing in the previous picture.
Eventually, I created a blank grid of numbers, which the player will use to reconstruct the whole design by following a set of instructions (sort of like a human computer program).
Compare the grids and sketches above to the sketches in the last post about spell maps:
What I found was that this layout, made up of numbers arranged on a grid, ended up looking a lot like Pascal’s Triangle, which in turn forms the basis of the Sierpinski Gasket, one of my favorite fractals:
I don’t know if the puzzle will end up being a functional part of the upcoming session, but I thought I’d share it here on the blog. It’s a cool intersection of geology, mathematics, and fantasy, and it ended up being good practice for figuring out how a mage would go about enchanting a rock to become a compass.