The tag appears as a perfect icosahedron of dark obsidian, but closer inspection reveals it's actually thousands of microscopic geometric shapes nested within each other. It emits a low harmonic hum at perfect mathematical ratios (1:1.618 golden ratio) that intensifies when the bearer approaches geometric perfection. The surface displays shifting tessellation patterns representing the holder's geometric history, and the tag grows warm to the touch when the bearer achieves apotheosis-level throws.

The Geometric Apotheosis actively judges geometric worthiness - when a holder's throws achieve the precise mathematical harmony the Grays seek, the tag glows with stored light that can be expended to freeze a competitor's geometric assessment for one round. It serves as both the ultimate ranking marker and a beacon that draws intensified Gray observation to worthy bearers.