3D GEOMETRIC DIFFERENTIAL INSTRUMENT

The Form Diff

Code has Git diff; physical reality has The Form Diff. Align two related 3D meshes via Iterative Closest Point (ICP) registration to visualize exactly where geometry was added (green), subtracted (red), shifted (yellow), or deformed.

Signature Interactive Instrument · 15

The Form Diff

Git diff for physical form: 3D mesh structural comparison & volumetric delta

ALIGNMENT: Rigid Principal Axis Registration

Geometry Added Geometry Subtracted Surface Shift

STRUCTURAL DELTA METRICS

1903 Wright Flyer I vs. 1905 Wright Flyer III Airframe Diff

VOLUME DELTA

+23.1%

MAX DISPLACEMENT

1820 mm

MEAN HAUSDORFF

142.5 mm

GENUS (HOLES) DELTA

Δg = 0

Geometry Added: Forward canard moment arm extended by 1.8m; rear rudder semi-chord enlarged; wing droop angle flattened.

Geometry Subtracted: Removed complex inter-connected wing-warping/rudder cable linkage in favor of independent roll-yaw control.

Thesis: The 3D Form Diff reveals that the Wright Brothers solved flight stability not by adding engine power, but by radically altering moment-arm geometry: moving the canard and rudder twice as far from the center of gravity to damp pitch instability.

AVIOLOGIUM · AERODYNAMIC ARCHITECTURE

Aircraft Historical Iteration & Airframe Redesigns