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SPATIAL LOGIC GUIDE

The Anatomy of a Resonance

A calm geometric puzzle where clear logic always triumphs over guesswork. Every rule is elegant, transparent, and proved.

The 5 Core Laws

Law 01

Cores Appear in Pairs

Every board contains matching pairs of Cores. Each family has its own distinct mineral hue, geometric silhouette, and internal mark, ensuring high readability even under grayscale or colorblindness.

Law 02

Orthogonal Growth Only

Threads travel horizontally or vertically into adjacent cells. Diagonal crossing is impossible, preserving clean geometric grids.

Law 03

Threads Never Cross

Running into another thread truncates it back. There is never a failure state or sudden penalty—you simply redraw your intended lane.

Law 04

Free Retraction

Dragging back onto your previous cell retracts the thread immediately. Experimenting with different channels costs nothing.

Advanced Spatial Obstacles

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Impassable Shards

Permanently solid obstacles. You must route threads around them, forcing clever use of outer boundary avenues.

⬡

Glass Nodes

Solid glass marked with an activation number. Only opens once that exact count of other resonances exist, turning solve sequence into part of the puzzle.

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Full-Field Convergence

Introduced in World 3. Every single empty cell on the grid must carry a thread to trigger the final convergence.

Guaranteed Solvability

The Jordan Curve Theorem & Our Solver

Many popular line-puzzle games accidentally include impossible levels where two endpoint pairs interleave topologically around a boundary (A, B, A, B). By Jordan curve theorem, no two planar paths can join them without crossing.

In AuraLink, every single board is proved by an exhaustive Numberlink solver with iterative deepening on path length before it ships. Matching the "Par" length is mathematically verified to be the shortest possible route that exists.