The Shadowrime Calculus is a crystalline device, cold to the touch, with intricate frost patterns that shift and evolve. Its surface is etched with arcane symbols that glow faintly in the dark, and it emits a subtle, icy mist that seems to react to the presence of supernatural forces. The patterns on its surface are a blend of mathematical precision and cryptic artistry, hinting at the deep connection between logic and the arcane.

The Shadowrime Calculus influences events by revealing the hidden patterns in the frost formations, guiding detectives through the treacherous terrain and helping them anticipate the movements of the Ice Phoenix. It serves as a passive guide, its subtle shifts and glows providing crucial insights without direct intervention.