This page collects the interactive visualisations accompanying the paper. The printed document necessarily presents static views of inherently three-dimensional data; these online versions allow the figures to be rotated, zoomed, filtered, and inspected from arbitrary viewpoints.
The figures span the complete analytical framework: participant-specific UMAP manifolds, pooled-classification diagnostics, local velocity fields, PCA-normalised trajectory clouds, the dynamical phase map, and frame-level LDA projections.
Each card links to the stable short URL used by the QR codes in the paper. The interactive figures are companions to the corresponding captions and analyses, not replacements for them.
Figure 2
P3 — The Island Manifold
Photographer / Visual Artist
Highly discrete emotional territories with island-like topology and a central, circuitous Flow organisation.
Figure 3
P1 — The Crossing Ground
Actor / Writer
A densely connected manifold organised around a shared central crossing region and markedly circuitous Flow dynamics.
Figure 4
P2 — The Recursive Basin
Painter / Martial Artist
A densely connected organisation centred on Neutral as an actively inhabited and recursively traversed basin.
Figure 5
P4 — The Concentrated Field
Music Producer / Electronic Musician
The cohort's most compact manifold, with isolated coherent Flow and fragmented multi-territory Fear.
Figure 6
P5 — The Stratified Landscape
Musician / Researcher
A vertically stratified organisation with a shared central traversal zone, peripheral Neutral, and exceptionally extended Fear dynamics.
Figure 7
P6 — The Still Eddy
Classical Pianist
The largest manifold in the cohort, combining expansive global geometry with slow, highly constrained local Flow circulation.
Figure 8
P7 — The Bimodal Field
Songwriter / Producer / Gamer
A district-like manifold whose defining feature is Flow split across two spatially separated trajectory complexes.
Figure 10
Flow Velocity-Field Organisation
Speed, alignment, and within-participant context
Cross-participant Flow traversal speed and directional coherence, with a within-P1 comparison against Happiness, Neutral, and Sadness.
Figure 11
P1 / P7 Flow and Neutral Velocity Fields
Four local three-dimensional vector fields
A direct comparison of coherent, fragmented, connected, and bimodal dynamical organisations within the shared UMAP reference frame.
Figure 12
Flow–Neutral Speed Ratio
Static summary figure in the paper
Within-participant Flow ÷ Neutral speed ratios showing a reversal in the direction of the relationship across the seven participants.
No separate interactive version currently listed.
Figure 13
PCA-Normalised Flow Clouds
Normalised internal Flow morphology
Participant Flow clouds centred, principal-axis aligned, and scale normalised to reveal partial morphological convergence.
Figure 14
Dynamical Phase Map
Frame-level separability × temporal coherence
LDA first-dimension loading plotted against emotion-level velocity-field alignment, showing the partial independence of static and dynamic structure.
Figure 15
Complete Participant LDA Gallery
Black and white versions for P1–P7
Participant-specific frame-level discriminant projections showing one-dimensional, dominant-axis, and multi-dimensional profiles.
Figure 15b
P3 Principal-Axis LDA View
Visualising 99.96% first-dimension loading
The P3 discriminant projection can be rotated and isolated to inspect its near one-dimensional organisation and Flow's residual higher-dimensional structure.