Configuration Solvers (Arcane Casting)
The configuration solver is the physical interface between a caster and the arcane. Rather than abstract gestures or vocal components, spellcasting requires the tactile manipulation of a “Solver” device to reach a specific state or permutation.
Types of Solvers
1. Combinatorial Solvers (Standard)
The combinatorial version is the most accessible interface—generally, anyone can use one. There is no personalization required.
- Mechanic: State₀ → f(move) → State₁ → Solved.
- Logic: Focused on permutation groups and specific move sequences (similar to a Rubik’s Cube).
2. Mechanical Solvers (Personalized)
The mechanical version represents a higher level of arcane usage. It is unique to the caster and far more complex to reverse-engineer.
- Mechanic: State₀ → f(move, context, user) → State₁.
- Logic: A state machine bound to the user’s “signature” via a Resonance Artifact.
Warning: Take care when using another’s mechanical solver. Cannibalizing parts before the resonance artifact is removed can cause irreversible damage to the internal logic chains.
Anatomy of a Mechanical Solver
A solver’s capability is defined by its Base Container and its mechanism set.
The Base Container
The base defines the geometric limits of the solver. If you are operating in gravity-sensitive environments, the Torus, Sphere, and Tetrahedral containers are the most applicable.
- Cube: Stable, 6 faces for mechanisms.
- Torus: Continuous rotation, no “start” position.
- Cylinder: Directional symmetry.
- Sphere: Maximum freedom, hardest to configure.
- Tetrahedral: Minimal faces, high geometric resonance.
Mechanisms
| Mechanism | State | Function |
|---|---|---|
| Slider | Position (0, 1, 2…) | Linear panel movement. |
| Rotor | Angle (0°, 90°, 180°…) | Disc rotation in notched positions. |
| Gears | Logic Chain | Drives the relationship between other parts. |
| Toggle | Binary (Open/Closed) | Simple lever flips. |
| Pressure | Binary (Pressed) | Hidden buttons or triggers. |
| Lock | Conditional | Prevents use unless specific conditions are met. |
Maintenance and Tiers
Solvers are physical objects subject to wear. Inscribing runes on masterwork sets can mitigate maintenance but is an expensive and time-consuming process.
- Common: Functional but requires frequent oiling and maintenance.
- Fine: Reliable with reduced maintenance needs.
- Masterwork: High-durability gears; takes significantly longer to degrade.
- Artifact: Unique, self-maintaining, or possibly sentient properties.
Configuration solvers are frequently repurposed into high-security lock and key mechanisms outside of arcane circles due to their unique, user-specific sequences.