The Premise
This artifact maps the complete recorded output of Vincent van Gogh, 776 paintings, nine years, five biographical periods, through two measurement systems simultaneously. The left panel shows brightness and saturation, the perceptual surface of each painting. The right panel shows centroid offset and cohesion, the structural organization of visual mass computed from edge-gradient data.
Both coordinate systems are plotted at career scale. Period toggles and category filters allow any segment of the data to be isolated. A live statistics bar tracks mean cohesion per period as filters change, so structural differences can be verified across subject types. The question is not whether Van Gogh changed, the perceptual record makes that obvious, but whether the structural coordinates reveal a pattern the perceptual record cannot see.
The perceptual arc has a known shape. The structural arc has a different one. Both are present simultaneously in the same 776 paintings.
Per-Category Arcs
Toggling individual categories while watching the live stats bar reveals whether the career-long structural descent holds within subject type, or whether mixing subject categories produces an artifact. Use "Rescale to selection" when isolating a single category to bring the distribution into focus.
| Category |
Early |
Paris |
Arles |
Saint-R. |
Auvers |
| landscape |
0.371 |
0.291 |
0.289 |
0.166 |
0.158 |
| portrait |
0.501 |
0.334 |
0.490 |
0.391 |
0.278 |
| floral |
0.619 |
0.421 |
0.398 |
0.224 |
0.060 |
| still life |
0.444 |
0.388 |
0.361 |
0.270 |
0.201 |
| copy |
— |
0.388 |
0.412 |
0.280 |
— |
| urban |
0.341 |
0.299 |
0.271 |
— |
— |
Green = relative high; red = relative low within that category's arc. "—" = fewer than 3 paintings in that cell.
The Structural Finding
The perceptual arc of Van Gogh's career has a familiar shape: the Dutch darkness, the Paris brightening, the Arles explosion, the continued intensity of Saint-Rémy, the final scatter of Auvers. This is one of the most documented chromatic transformations in the history of painting, and the left panel confirms it.
The structural arc runs in the opposite direction. Cohesion (μ) descends monotonically from Early (0.411) through Auvers (0.177), a 57% drop across the career. This is not a Saint-Rémy rupture; it is a career-long structural dissolution that happens to accelerate at two moments of biographical inflection: the move from the Netherlands to Paris, and the move from Arles to the asylum. The perceptual transformation and the structural dissolution proceed simultaneously in opposite directions.
Three specific results deserve attention. Floral is the most extreme trajectory: Early floral works score 0.619, the highest cohesion in the dataset, as tightly packed flower arrangements produce maximally unified gradient mass. Auvers floral scores 0.060, a 90% collapse, as loose cut-flower arrangements in the final period distribute mass almost randomly across the frame. Portrait shows an Arles recovery: cohesion drops from Early to Paris (0.501 → 0.334), then recovers in Arles (0.490), drops again in Saint-Rémy (0.391), and collapses in Auvers (0.278). The recovery in Arles is compositional: Van Gogh's Arles portrait practice produced unusually tight figure-to-ground relationships. Copy-as-scaffold confirms across the full dataset: the 27 Saint-Rémy copies after Millet, Delacroix, and others score 0.280 on average against 0.193 for concurrent own-work; the structural inheritance of the source composition is measurable.
The SDI (Spatial Dispersion Index) is flat across all five periods. The gradient mass does not spread as cohesion drops; it fragments in place. This rules out the most obvious alternative explanation: that the cohesion descent simply reflects compositions becoming more spatially distributed. It does not. The mass occupies the same average area; it breaks into smaller disconnected regions.
Perceptual brightness rises 118% from Early to Arles. Structural cohesion falls 57% from Early to Auvers. The two systems are measuring something genuinely different about the same paintings.