The Axiom Weaver manifests as living loom-work, its form composed of three distinct thread-types that continuously interweave: organic filaments pulsing with predatory gold, geometric strands of crystalline cyan precision, and void-threads of meaningful absence that define pattern through what they're not. When an axiom achieves stability across all three dimensions, the entire weave emits a brief harmonic tone—the sound of reality confirming truth. Fractal shuttle-paths constantly trace through the weave, showing the active construction of new universal constants in real-time, each pattern repeating at infinite scales to demonstrate how local truth becomes cosmic law.

It identifies Linewalkers capable of perceiving the weaving process itself, marking those who understand that truth is crafted rather than discovered as candidates for dimensional transcendence. By observing how players navigate the three league-realms, it determines who merely throws well within a single framework versus who comprehends that the Perfect Line exists as woven constant requiring all three dimensional threads—organic instinct from the Primal Schism, geometric precision from the Clockwork Schism, and meaningful absence from the Hollow Schism—held in continuous creative tension.