FFT Symbol Class: Cross

The cross family is characterized by bilateral axial symmetry and energy concentration along two perpendicular axes in the frequency domain. Unlike the wheel class — which distributes spectral power isotropically — cross-form symbols (Greek cross, equal-armed cross, saltire, cardinal-direction markers) produce a distinctive cruciform power spectrum: two orthogonal ridges of elevated energy meeting at the center, with lower power in the diagonal quadrants. This axial spectral signature places the cross family in the second tier of torpor-field relevance in the archive's framework. The GDCC's interpretation is that two-axis symmetry may activate orientation-dependent perceptual responses rather than the omnidirectional low-frequency immersion hypothesized for the wheel class. The cross family appears across traditions with anomaly-site continuity — pre-Columbian four-direction symbols, Byzantine equal-armed crosses, East Asian cardinal cosmograms — and is among the families whose cross-cultural recurrence the archive treats as exceeding diffusion-only predictions.

Claims

c0001 — Cross-class symbols have a cruciform, axis-concentrated spectral signature with bilateral symmetry

In the archive's FFT pipeline, cross-family symbols resolve with elevated energy concentrated along the horizontal and vertical frequency axes, forming a cruciform ridge pattern in the 2-D power spectrum. The bilateral symmetry (power equal across both perpendicular axes) is the defining criterion for this class, distinguishing it from chiral variants and from single-axis forms. The archive treats this spectral profile as indicative of symbols that reward orientation-aligned inspection — a weaker but real analog to the isotropic immersion of the wheel class. The cross family is loaded by default in site-specific queries where cardinal-direction iconography is under discussion.