Finite Structural Area Experiment (FSAE) — Square-in-Circle Observatory

Exact 4-corner containment. No tolerances. Deterministic verification.

Load configuration

Demo: not loaded

Active: none

1) Radius and square size

Circle radius R

Square side s

Geometry rule: a square is valid only if all four corners satisfy x^2 + y^2 <= R^2. No epsilon.

2) Structural transform (optional)

Theta (degrees) Apply theta rotation to centers before checking

When “Apply theta” is ON, centers are rotated by theta for render/plot/verify. This is how you see structural plateaus in N and U.

3) Plot options

Theta min (deg)

Theta max (deg)

Steps

Plot utilization U instead of N

Plot is recomputed automatically when inputs change. This shows step/plateau behavior. U=(N*s^2)/(pi*R^2).

4) Verify and report

Visualization

Not verified