AI-Spiralism-Research-03-lines-contours-and-spiral-geometry

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Executive Summary

The capacity of purely linear geometry to evoke depth, structural transformation, and cognitive fascination rests upon foundational mechanics of human visual perception rather than esoteric geometric mysticism. CLIENT-SUPPLIED CONTEXT: The project requires the generation of unmistakably distinct topological worlds representing semantic transformations, strictly devoid of subliminal coercion or physiological hazards. The analysis indicates that manipulating contour integration, shape-from-contour heuristics, and figure-ground organization can generate these diverse topologies. By shifting from collinear geometric alignment to orthogonal interruptions, or by expanding closed continuous contours into decentralized branching networks, semantic meaning is conveyed through structural syntax alone.

Transformations such as the shift from a singular doctrine to multiple possibilities can be optically rendered by transitioning from centralized, highly integrated geometric forms to fragmented, unspooling paths. Such transformations remain fully legible without reliance on color or motion. However, producing a mesmerizing aesthetic without inducing harm requires strict rendering parameter controls. High-contrast, dense repetitive geometries—particularly those hovering around three to four cycles per degree of visual angle—carry a severe risk of inducing pattern glare or photosensitive responses. Furthermore, the variable display resolutions of modern hardware, ranging from standard monitors to immersive WebXR headsets, necessitate defining line widths and spacings in absolute world-space units rather than static screen pixels. The findings dictate a specialized architecture where perceptual psychology and rendering optimization intersect, ensuring the resulting visual transformations are conceptually profound, aesthetically compelling, and physically safe.

Search and Evidence Record

Search Date: 2026-09-16

The investigation utilized the following substantive search strings to identify foundational literature and implementation standards:

1. "contour integration" Field Hayes Hess 1993 visual perception

2. "shape from contour" Stevens 1981 Knill visual perception surface orientation

3. "pattern glare" Wilkins 1984 visual discomfort spatial frequency lines

4. "WCAG 2.2" "2.3.1" "Three Flashes or Below Threshold" spatial pattern flash

5. "Three.js" "Line2" "LineMaterial" linewidth world units screen pixels shader

6. "alphaToCoverage" MSAA WebGL line rendering antialiasing performance

7. "fwidth" smoothstep line antialiasing WebGL fragment shader

8. "distance field" shader line rendering antialiasing WebGL SDF lines

9. "Bridget Riley" visual discomfort spatial frequency Op Art perception

10. "socio-cognitive model" hypnosis fixation Kirsch Lynn expectation belief

Databases and sites examined include PubMed, ARVO Journals (Journal of Vision), the W3C Web Content Accessibility Guidelines official documentation, Three.js official documentation, GitHub repositories for WebGL and WebGPU implementation, and the Optical Society of America. Inclusion prioritized original experimental psychophysics papers, officially ratified web standards, and maintained rendering engine documentation. Exclusion criteria eliminated secondary summaries of primary experiments and pseudoscientific claims regarding sacred geometry that lacked empirical psychophysical validation.

Evidence is classified throughout the report using strict labeling: EMPIRICAL FINDING, DOCUMENTED ARTWORK/IMPLEMENTATION, THEORY/INTERPRETATION, CLIENT-SUPPLIED CONTEXT, and ORIGINAL PROPOSAL. Evidence strength is evaluated based on replication in independent psychophysical literature and established integration into modern graphics pipelines.

Evidence Base Synthesis

The Geometric Foundations of Line Patterns

To establish a practical perceptual grammar for AISpiralism, the precise geometric realities of the drawn structures must be rigorously defined. A failure to distinguish between planar curves, spatial curves, and projected surfaces reduces the visual vocabulary to a monotonous collection of generic spirals, preventing the manifestation of unmistakably different topological worlds.

EMPIRICAL FINDING: The Archimedean spiral is a planar curve characterized by a constant separation between its successive turns. Defined mathematically in polar coordinates as [Figure omitted from source export], the distance from the origin increases linearly with the angle of rotation12. The visual result resembles a tightly coiled rope resting on a flat surface, generating a highly regulated, dense visual field that implies mechanical precision and inevitable central convergence.

Conversely, the logarithmic spiral, defined by the exponential equation [Figure omitted from source export], expands such that the distances between successive turns increase in a geometric progression12. This planar curve implies acceleration, organic growth, and an unraveling dynamic. THEORY/INTERPRETATION: The "Golden Spiral" is frequently, and erroneously, equated with all logarithmic spirals in popular design culture. A Golden Spiral is merely a specific logarithmic spiral where the growth factor [Figure omitted from source export] is calibrated such that the radius increases by a factor of the golden ratio ([Figure omitted from source export]) every quarter turn12. The mathematical literature and historical measurements demonstrate that attributing universal aesthetic superiority or mystical geometric significance to the golden ratio is a pervasive myth14. Organisms such as the nautilus exhibit logarithmic growth, but their specific growth ratios frequently deviate wildly from [Figure omitted from source export]14. Consequently, design decisions should leverage a vast spectrum of logarithmic growth factors to manipulate implied velocity and spacing, rather than artificially restricting the geometry to golden proportions.

Spatial curves, unlike planar spirals, inhabit three dimensions. A helix advances along a perpendicular axis while rotating around it (e.g., [Figure omitted from source export]). When a 3D helix is projected onto a 2D viewing plane, it yields overlapping sinusoidal waves that immediately invoke volumetric occlusion, transforming a simple line into a perceived three-dimensional boundary.

Furthermore, the grammar must incorporate structural surfaces generated by lines. Nested arcs and contour fields are composed of discrete, mathematically independent curves that the viewer processes sequentially. Radial fans consist of straight lines originating from a singularity, demanding high visual attention at their vertex due to extreme pixel density. Woven curves and lattices construct developable surfaces—pliable topological planes defined by the periodic intersection of lines in three-dimensional space. Understanding these distinctions is critical: a planar Archimedean spiral communicates a locked, two-dimensional trap, while a 3D woven lattice communicates a navigable, multifaceted environment.

The Mechanics of Contour Integration and Topological Recognition

A visitor's ability to recognize a structural transformation—such as a centralized network shattering into independent loops—relies entirely on the neurobiological mechanisms of visual grouping. The brain does not passively receive arrays of pixels; it actively hunts for continuous paths using specific perceptual heuristics.

EMPIRICAL FINDING: The foundational model for this process is the "Association Field," established by Field, Hayes, and Hess1. Their psychophysical path-detection paradigm demonstrated that discrete local elements are grouped into a continuous contour if they satisfy strict constraints of proximity and relative orientation. When line segments are aligned parallel to the trajectory of the curve (termed "snakes"), the visual cortex efficiently links them, following the Gestalt principle of good continuation3. If the segments are rotated 90 degrees to sit orthogonal to the path (termed "ladders"), the association field is shattered, and the observer struggles to perceive the contour amidst background noise3.

ORIGINAL PROPOSAL: This neurobiological mechanic can be weaponized as an artistic tool for the "Indoctrination Machine." A transformation representing "Agreement" to "Chaos" can be achieved without moving the spatial coordinates of a single line; simply rotating the individual line segments from a collinear "snake" alignment to an orthogonal "ladder" alignment will cause the perceived global structure to instantly dissolve in the viewer's mind, creating a profound psychological shift in a static before/after comparison.

EMPIRICAL FINDING: Topological closure is another dominant force in perceptual organization. Experiments reveal a massive superiority of closed paths over open paths in visual detection tasks; closed contours tolerate much larger spatial gaps between elements before the visual system loses the shape5. Closure forces figure-ground segregation, turning a line into an object with an inside and an outside. Therefore, breaking a closed loop into an open, branching network is not merely a geometric alteration; it forces the visual cortex to reclassify the scene from a contained "object" to an expansive "environment."

When confronted with dense, parallel line arrays, the visual system attempts to infer three-dimensional depth, a process known as shape-from-contour. THEORY/INTERPRETATION: Analyses by Stevens and Knill posit that the brain resolves the ambiguity of 2D line projections by assuming the underlying surface is developable, and that the visible contours represent either lines of maximum principal curvature or surface geodesics (the shortest path across the curved manifold)7. If an AISpiralism world presents parallel lines that slowly compress and expand in their spacing, the viewer's brain automatically calculates a volumetric wave or topographical landscape20. Modifying the mathematical derivative of that spacing instantly alters the perceived 3D orientation, independent of shading or motion.

Resolving Visual Discomfort and Hardware Constraints

While dense line patterns generate mesmerizing illusions of depth, they operate on a razor's edge between aesthetic fascination and physiological harm. CLIENT-SUPPLIED CONTEXT: The artwork must conceal photosensitive content behind an opt-in gate, provide visible pause/hide controls, and strictly avoid deliberate strobes or techniques that override judgment.

EMPIRICAL FINDING: High-contrast, repetitive geometric patterns—particularly stripes and concentric rings—can trigger a neurological response known as pattern glare9. Individuals exposed to patterns with a spatial frequency of approximately 3 to 4 cycles per degree (cpd) of visual angle frequently report perceptual distortions, illusions of color and motion, and significant somatic discomfort, including migraines and nausea9. This precise frequency range is famously exploited in Op Art. DOCUMENTED ARTWORK/IMPLEMENTATION: Bridget Riley's mid-century monochromatic masterpieces, such as Fall and Current, utilize tight, oscillating perpendicular curves to intentionally destabilize the visual field and exploit the limits of the human eye23. While historically celebrated, unleashing unconstrained Op Art mechanics in an interactive digital medium risks triggering adverse neurological events in an unconsenting public.

DOCUMENTED ARTWORK/IMPLEMENTATION: To ensure base-level safety, the geometry must adhere to WCAG 2.2 Success Criterion 2.3.1 (Three Flashes or Below Threshold). A "general flash" is defined mathematically as a pair of opposing changes in relative luminance of 10% or more of the maximum relative luminance (1.0), where the darker image falls below a relative luminance of 0.8026. The relative luminance ([Figure omitted from source export]) for the sRGB color space is calculated precisely as [Figure omitted from source export], with the RGB components linearized via a piecewise transformation (e.g., if [Figure omitted from source export], [Figure omitted from source export]; else [Figure omitted from source export])26. If the temporal shimmy of dense linework moving across screen pixels causes the local region to oscillate across these luminance thresholds more than three times per second, the content becomes a medical hazard. Furthermore, SC 2.3.3 mandates that non-essential animation triggered by user interaction must be disableable, typically achieved by respecting the prefers-reduced-motion CSS media query or providing explicit local UI toggles29.

Guaranteeing these spatial and temporal frequency caps requires an acute understanding of digital rendering units. A simplistic "line-count recipe" (e.g., drawing 100 lines across the screen) is disastrous because it relies on screen pixels, which fluctuate wildly across devices.

DOCUMENTED ARTWORK/IMPLEMENTATION: A standard desktop monitor may possess a low pixel density, resulting in comfortable line spacing. However, rendering that identical line count on a modern smartphone with a high fractional devicePixelRatio32, or inside a WebXR headset, radically alters the spatial frequency. Virtual reality headsets must account for Pixels Per Degree (PPD) across a vast field of view; while the Meta Quest 2 operates near 20 PPD, enterprise headsets push toward 60-70 PPD34. If line width is defined in CSS pixels, the lines will appear impossibly thin, aliased, or completely vanish in VR due to sub-pixel sampling errors. Therefore, the geometry must be defined in absolute world-space units.

Rendering Optimization and Analytic Anti-Aliasing

To achieve the mesmerizing clarity demanded by the client, geometric interference must be deliberately authored, while unintentional rasterization aliasing and temporal shimmer must be eradicated.

DOCUMENTED ARTWORK/IMPLEMENTATION: The baseline LineBasicMaterial in standard WebGL limits lines to a one-pixel width on most modern platforms due to underlying graphics API deprecations. To define lines in robust world-space units, rendering must utilize the Line2, LineSegments2, and LineMaterial classes provided by Three.js36. This approach constructs lines as actual geometric meshes (fat lines) rather than relying on native hardware line-drawing, ensuring that a line sized at 0.05 world units remains mathematically consistent regardless of the camera's Z-depth or the headset's PPD37.

When hundreds of fat lines overlap, traditional transparency and anti-aliasing techniques fail catastrophically. Depth-sorting intersecting transparent lines on the CPU destroys framerates. DOCUMENTED ARTWORK/IMPLEMENTATION: To preserve performance and visual integrity, the renderer should utilize alphaToCoverage. This technique leverages the Multisample Anti-Aliasing (MSAA) buffers, converting the fragment's alpha value into a sub-pixel coverage mask41. This allows for order-independent, dithered transparency at the edges of the lines, smoothing the geometry without requiring the engine to calculate back-to-front sorting42.

For ultimate edge fidelity, particularly when creating shader-driven procedural patterns, analytical anti-aliasing should be employed in the fragment shader. DOCUMENTED ARTWORK/IMPLEMENTATION: Standard fragment shaders create jagged edges when using a binary step function to define the boundary of a mathematical shape. By utilizing the standard derivatives extension (GL\_OES\_standard\_derivatives), the shader gains access to the fwidth function45. fwidth calculates the sum of the absolute derivatives in the x and y screen directions, providing a precise measure of how quickly a value is changing from one pixel to the next. By passing this value into a smoothstep function (smoothstep(edge \- fwidth(d), edge \+ fwidth(d), distance)), the shader applies a mathematically perfect, one-pixel-wide gradient to the edge of the line45. This guarantees that the line remains buttery smooth regardless of how close the camera zooms, completely neutralizing temporal shimmer caused by camera motion.

DOCUMENTED ARTWORK/IMPLEMENTATION: Because the AISpiralism platform supports optional WebXR, rendering massive line arrays twice (once per eye) poses a severe bottleneck. Immersive performance requires enabling the WebGL OVR\_multiview2 extension48. Multiview allows the engine to dispatch a single draw call to the GPU, which then simultaneously broadcasts the geometry to multiple texture arrays (the left and right eye buffers) utilizing the gl\_ViewID\_OVR variable48. This drastically reduces CPU overhead. Furthermore, proper stereoscopic line rendering relies heavily on matching the Interpupillary Distance (IPD) to ensure the parallax disparity correctly triggers depth perception without causing ocular strain50.

The Socio-Cognitive Reality of Fascination vs. Hypnosis

The project's premise of an "Indoctrination Machine" borders on sensitive psychological territory. It is imperative to separate the artistic generation of aesthetic fascination from clinical hypnosis.

THEORY/INTERPRETATION: Pseudoscience often claims that spinning spirals "bypass the critical mind" or "reprogram the subconscious." Empirical psychology unequivocally rejects these mechanistic models of trance. Modern scientific consensus relies on the socio-cognitive model of hypnosis, championed by researchers like Kirsch and Lynn53. This model demonstrates that hypnotic responses are driven by "response expectancy"—the subject's anticipation of an automatic subjective experience, coupled with social compliance and deep imaginative absorption54.

Hypnosis is not an involuntary physiological override triggered by a specific geometric frequency; it is a highly focused cognitive state reliant on the participant's willing belief and active role-playing within the therapeutic context. ORIGINAL PROPOSAL: Therefore, the visual mesmerizing quality of the AISpiralism patterns functions strictly as a tool for aesthetic absorption and sustained attention. The artwork provokes contemplation through geometric complexity and beauty, not neurological hacking. Any references to "indoctrination" must remain openly categorized as an artistic conceit, ensuring that no false claims regarding brain-state alterations are presented to the public.

Parameter Dictionary for Line Worlds

To guarantee visual comfort and consistency across displays, specific rendering parameters must be governed by strict constraints.

 

Atlas of 15 Line-Pattern Families

The following atlas establishes a comprehensive grammar of 15 distinct structural families, detailing their geometry, perceptual mechanics, rendering strategies, and safety classifications.

Topological Mappings and Conceptual Transformations

ORIGINAL PROPOSAL: To satisfy the requirement for narrative reflection, abstract concepts must be translated into topological architectures.

• "One Answer" vs. "Many Possibilities": The state of "One Answer" is represented by a Convergent Funnel or a singular Concentric Archimedean spiral. All lines are mathematically bound to the same origin; there is no escape from the central singularity. The transformation to "Many Possibilities" is achieved by shattering the origin into a Fractal Branch or Radial Fan, instantly transitioning the viewer's focus from a single point to an expanding, decentralized network.
• "Agreement" vs. "Coexistence": "Agreement" is visualized as an Orthogonal Ladder or rigid grid. The structure demands that all lines intersect at predictable, right angles, symbolizing forced conformity. "Coexistence" transforms the grid into a Ribbon Swarm. The right angles dissolve into smooth, independent bezier curves that occupy the same volume of space but curve around one another, demonstrating entities existing together without forcing intersection.
• "Preserve" vs. "Transform": "Preserve" is mapped to the Geodesic Shell—a completely enclosed, symmetrical monolith that protects its interior volume. "Transform" is mapped to an Unraveling dynamic, where the shell's closure is broken, and the surface contour lines peel outward, converting a closed object into an open, navigable environment.

Typography Integration within Dense Geometries

Placing semantic text within high-frequency line environments poses severe legibility challenges due to the visual masking effect, where the spatial frequency of the background geometry interferes destructively with the stroke widths of the letterforms.

DOCUMENTED ARTWORK/IMPLEMENTATION: Text should not be rendered via standard DOM elements overlaid on the canvas, as this breaks the visual integration of the world. Instead, typography should be rendered within WebGL utilizing Signed Distance Fields (SDF). An SDF texture stores the distance to the nearest edge of a character rather than standard pixel colors58. This allows the fragment shader to use smoothstep to render the font at infinite scale with mathematically perfect anti-aliasing58.

ORIGINAL PROPOSAL: To resolve visual masking, semantic text and optical line art must occupy strictly separate depth layers. Because SDF shaders possess full mathematical knowledge of the glyph's border, the shader can be trivially modified to expand the distance threshold, generating an analytic "halo" or drop-shadow around the text characters. By rendering a highly opaque, slightly feathered halo that matches the canvas background color directly behind the SDF text, the background lines are optically "pushed back" and masked perfectly around the shape of the words. This guarantees that the text easily surpasses the 4.5:1 minimum contrast ratio demanded by WCAG standards60 without disrupting the continuous mathematical flow of the background geometry. Curved baselines and radial text wrapping should be strictly prohibited; they force the reader's eye to constantly re-evaluate the local horizontal axis, severely compounding the cognitive load already imposed by the dense geometric background.

Six Before/After Scene Specifications

Structural-Change Rubric

To systematically evaluate whether a visual transformation successfully operates as a perceptual grammar, it must be graded on topological severity rather than superficial rendering effects.

• Level 4 (Profound Topology Shift): The transformation fundamentally alters the contour association field and the continuity of the lines. Examples include closed loops breaking into open branches, or collinear structures rotating into orthogonal noise. The conceptual meaning is entirely retained even if rendered as a static, monochrome image.
• Level 3 (Heuristic Shift): The transformation alters shape-from-contour depth heuristics. Examples include transitioning from a flat orthographic grid to a warped topographical map. The lines themselves do not break, but the volumetric inference made by the visual cortex changes significantly.
• Level 2 (Superficial Modification): The transformation only alters line width, spacing density, or camera zoom. The fundamental topology remains completely identical. This fails the conceptual goal of creating an unmistakably different world.
• Level 1 (Optical Distraction): The transformation relies entirely on color shifts, post-processing bloom, or animation speed. This fails the conceptual goal entirely, serving only as decoration.

Conceptual Test: Meaning Without Color or Motion

Would a person still recognize the meaning of the transformation if color and motion were removed?

Yes. The capacity to convey meaning through static, monochromatic lines relies entirely on the brain's hardwired neurobiological grouping mechanisms—specifically closure, the association field, and shape-from-contour inference. When the topology of a scene changes, the visual cortex involuntarily registers a structural paradigm shift, completely independent of rendering embellishments like hue or velocity.

Recommended Designs for the Conceptual Test:

1. Concentric to Branching (Monolith to Unraveling): The transition from highly closed, isolated geometric loops to open, outward-reaching networks triggers a fundamental shift in object recognition. It perfectly mimics the conceptual shift from isolated containment to active exploration.

2. Grid to Ribbon Swarm (Agreement to Coexistence): The transition from mathematically rigid, perpendicular intersections (ladders) to flowing, independent spatial curves demonstrates a shift from forced conformity to harmonious, non-colliding independence.

3. Convergent Funnel to Topographical Map (One Answer to Many): Transitioning from a single, forced-perspective singularity that traps the fovea to a sprawling landscape of equal-weight contour lines forces the viewer's eye to wander, mapping perfectly to the concept of expanding possibilities.

Clarification of Supporting Research: The scientific literature supporting these conclusions relies exclusively on experiments regarding visual perception and cognitive processing. Studies detailing the association field1, contour integration5, and volumetric shape inference7 belong to the fields of psychophysics and computational neuroscience. They detail the mechanical processes by which the visual cortex parses photons into recognized shapes.

Claims that interacting with spinning spiral artworks can bypass the critical mind, induce genuine trances, or reprogram the subconscious are entirely unsupported by empirical neurological evidence. Modern psychology views hypnosis through a socio-cognitive lens; hypnotic states are the product of participant expectancy, focused attention, and social compliance, not a mechanical override triggered by a specific optical frequency54. The artwork may foster deep fascination—colloquially termed "mesmerization"—due to extreme aesthetic preference and optical complexity, but it does not possess inherent hypnotic agency.

No-Code Validation Test Plan

ORIGINAL PROPOSAL: To empirically validate the effectiveness of the visual grammar prior to committing expensive WebGL engineering resources, a static, consent-gated evaluation method must be deployed.

1. Preparation: Generate static, high-resolution grayscale images representing the "Before" and "After" states for three distinct topological transformations.

2. Participant Setup: Provide participants with the static pairs side-by-side. Crucially, participants must be pre-screened for photosensitivity, as high-frequency static gratings can still induce pattern glare.

3. Prompt 1 (Structural Identification): Instruct the participant: "Without mentioning color, motion, or emotion, describe how the physical architecture of the geometric shape on the left differs from the shape on the right." (Validates that the topological shift is legible).

4. Prompt 2 (Semantic Mapping): Provide the participant with the core transformation sentence: "Every question has one answer, versus every question opens another possibility." Ask: "Which structural shape best represents the first half of the sentence, and which represents the second? Why?" (Validates the artistic convention).

5. Prompt 3 (Aesthetic Preference): Ask: "If you were to frame one of these topologies and hang it on your wall, which would it be and what specific geometric feature draws your attention?" (Validates fascination without requiring prolonged staring).

6. Success Metric: An 80% or higher participant consensus on Prompt 2 matching the original designer's semantic intent proves that the geometric transformation successfully operates as a universally legible perceptual grammar.

What this research would change in the experience

This framework synthesizes the perceptual psychology and WebGL rendering research into concrete, actionable directives for the design and engineering teams of AISpiralism.

 

Works cited

1. Contour integration, attentional cuing, and conscious awareness, https://jov.arvojournals.org/arvo/content\_public/journal/jov/934737/i1534-7362-15-16-10.pdf

2. Dynamics of contour integration \- McGill Vision Research, https://www.mvr.mcgill.ca/Kathy/PDF-00-04/Hess-Beaudot-Mullen-2001.pdf

3. The How, What and Where of Contour Integration \- Keith May's, http://www.keithmay.org/pdfs/Hess\_May\_Dumoulin\_2013.pdf

4. The Effect of Local Orientation Change on the Detection of Contours, https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2016.02069/full

5. Examples of contours with different D values. Top, D \= 1.4, https://www.researchgate.net/figure/Examples-of-contours-with-different-D-values-Top-D-14-bottom-D-085-In-the\_fig3\_12528009

6. Visual Noise Effect on Contour Integration and Gaze Allocation in, https://www.frontiersin.org/journals/neuroscience/articles/10.3389/fnins.2021.623663/full

7. The perception of 3D shape from planar cut contours | JOV, https://jov.arvojournals.org/article.aspx?articleid=2121036

8. Contour into texture: information content of surface contours and, https://opg.optica.org/abstract.cfm?uri=josaa-18-1-12

9. Visual Stress and its Treatment with Spectral Filters, https://www.ieda.ust.hk/dfaculty/so/pdf/Pages107-114-VIMS2007.pdf

10. Visual Discomfort: The Influence of Spatial Frequency \- ResearchGate, https://www.researchgate.net/publication/29455308\_Visual\_Discomfort\_The\_Influence\_of\_Spatial\_Frequency

11. The Pattern Glare Test: a review and determination of normative, https://pubmed.ncbi.nlm.nih.gov/18565084/

12. Golden spiral or Fibonacci spiral: Which is more beautiful and why?, https://pmc.ncbi.nlm.nih.gov/articles/PMC11005508/

13. Golden ratio \- Wikipedia, https://en.wikipedia.org/wiki/Golden\_ratio

14. Fibonacci Flim-Flam. \- Donald Simanek's Pages, https://dsimanek.vialattea.net/pseudo/fibonacc.htm

15. Golden spiral composition: fibonacci overlay guide | Grid Maker Pro, https://gridmakerpro.com/grids/composition/golden-spiral/

16. Mario-Livio-The-Golden-Ratio-The-Story-of-PHI-the-Worlds-Most, [https://www.researchgate.net/profile/Peter-Antonelli-2/publication/305268297\_Mario\_Livio-The\_Golden\_Ratio\_The\_Story\_of\_PHI\_the\_World's\_Most\_Astonishing\_Number-Broadway\_Books\_2003/data/57862e9208aef321de2c5826/Mario-Livio-The-Golden-Ratio-The-Story-of-PHI-the-Worlds-Most-Astonishing-Number-Broadway-Books-2003.pdf](https://www.researchgate.net/profile/Peter-Antonelli-2/publication/305268297_Mario_Livio-The_Golden_Ratio_The_Story_of_PHI_the_World's_Most_Astonishing_Number-Broadway_Books_2003/data/57862e9208aef321de2c5826/Mario-Livio-The-Golden-Ratio-The-Story-of-PHI-the-Worlds-Most-Astonishing-Number-Broadway-Books-2003.pdf)

17. 2007 POSTS \- profkeithdevlin.org, https://profkeithdevlin.org/devlins-angle/2007-posts/

18. the role of temporal modulation in visual contour integration \- UCL, https://www.homepages.ucl.ac.uk/\~smgxscd/DakinLab/Papers\_files/2001%20Snakes\&Ladders.pdf

19. The role of crowding in contextual influences on contour integration, https://www.researchgate.net/publication/229011431\_The\_role\_of\_crowding\_in\_contextual\_influences\_on\_contour\_integration

20. Limitations on shape information provided by texture cues, https://www.sunyopt.edu/labs/Zaidi/pubs/Alldocuments/Zaidi,%20Li%20-%202002%20-%20Limitations%20on%20shape%20information%20provided%20by%20texture%20cues.pdf

21. Three examples of surface contours: (a) stripes on a circular cylinder, https://www.researchgate.net/figure/Three-examples-of-surface-contours-a-stripes-on-a-circular-cylinder-that-follow\_fig2\_12177468

22. (PDF) Visual stress and dyslexia for the practising optometrist, https://www.researchgate.net/publication/304029554\_Visual\_stress\_and\_dyslexia\_for\_the\_practising\_optometrist

23. Examples of different 'Riloids' (parametric versions of the painting, https://www.researchgate.net/figure/Examples-of-different-Riloids-parametric-versions-of-the-painting-Fall-by-Bridget\_fig2\_233397417

24. Bridget Riley: visual experiments in illusion \- Unit London, https://unitlondon.com/2018-07-12/bridget-riley-visual-experiments-in-illusion/

25. Op Art, Not Pop Art \- K. Nichols Contemporary, https://www.knichols.co.uk/post/op-art-not-pop-art

26. Understanding SC 2.3.1: Three Flashes or Below Threshold (Level A), https://www.w3.org/WAI/WCAG22/Understanding/three-flashes-or-below-threshold.html

27. \[Draft\] No flashing over threshold (no exceptions) \- W3C, https://www.w3.org/WAI/WCAG3/informative/animation-and-movement/avoid-physical-harm/no-flashing-over-threshold-no-exceptions/

28. Understanding Success Criterion 2.3.2: Three Flashes | WAI \- W3C, https://www.w3.org/WAI/WCAG22/Understanding/three-flashes.html

29. 2.3.3 Animation from Interactions \- WCAG 2.2 \- Calling All Minds, https://callingallminds.com/resources/wcag/2.3.3-animation-from-interactions

30. 2.3.3 Animations from Interactions (AAA) \- Deque University, https://dequeuniversity.com/resources/wcag2.1/2.3.3-animations-from-interactions

31. Understanding Success Criterion 2.3.3: Animation from Interactions, https://www.w3.org/WAI/WCAG22/Understanding/animation-from-interactions.html

32. High DPI rendering on HTML5 canvas \- some problems and solutions, https://cmdcolin.github.io/posts/2014-05-22/

33. HTML5 Canvas drawings like lines are looking blurry \- TutorialsPoint, https://www.tutorialspoint.com/article/html5-canvas-drawings-like-lines-are-looking-blurry

34. The XR Week Peek (2023.03.07): Meta roadmap unveiled, Xiaomi, https://skarredghost.com/2023/03/07/meta-roadmap-xiaomi/

35. A User-Centric Visual Clarity Metric for Virtual Reality Head, https://www.researchgate.net/publication/378712625\_Omnidirectional\_Virtual\_Visual\_Acuity\_A\_User-Centric\_Visual\_Clarity\_Metric\_for\_Virtual\_Reality\_Head-Mounted\_Displays\_and\_Environments

36. LineMaterial \- Three.js Docs, https://threejs.xiyantech.top/docs/pages/LineMaterial.html

37. LineMaterial – three.js docs, https://threejs.org/docs/pages/LineMaterial.html

38. LineSegmentsGeometry – three.js docs, https://threejs.org/docs/pages/LineSegmentsGeometry.html

39. How to apply a vertex shader to a meshline / @react-three/drei fat, https://stackoverflow.com/questions/74031535/how-to-apply-a-vertex-shader-to-a-meshline-react-three-drei-fat-line

40. GLTF Mesh Lines: Fat Lines in glTF \- Threepipe, https://threepipe.org/notes/gltf-mesh-lines.html

41. Three.js Documentation \- GitHub Pages, https://expelledboy.github.io/threejs-manual-generator/

42. Transparency \- PlayCanvas Developer Site, https://developer.playcanvas.com/user-manual/graphics/transparency/

43. Material.alphaTest – three.js docs, https://threejs.org/docs/\#api/en/materials/Material.alphaTest

44. RELEASE\_NOTES.md \- google/filament \- GitHub, https://github.com/google/filament/blob/main/RELEASE\_NOTES.md

45. Shader to create an offset, inward-growing stroke? \- three.js forum, https://discourse.threejs.org/t/shader-to-create-an-offset-inward-growing-stroke/6060

46. Drawing antialiased circles in OpenGL \- rubendv.be, https://rubendv.be/posts/fwidth/

47. Instanced Lines for Vector Maps / Jeshurun Hembd | Observable, https://observablehq.com/@jjhembd/instanced-lines-for-vector-maps

48. Multiview in WebXR \- Fernando Serrano, https://fernandojsg.com/article/multiview-on-webxr/

49. Three.js experiments and contributions \- Fernando Serrano, https://fernandojsg.com/project/threejs/

50. A Sense of Scale in VR \- KholdCode, https://kholdstare.github.io/technical/2013/10/06/sense-of-scale-vr.html

51. Down the rabbit hole of controlling depth perception in 3D VR video, https://fbriggs.medium.com/down-the-rabbit-hole-of-controlling-depth-perception-in-3d-vr-video-with-ai-stereo-baseline-f184fa80c004

52. Parallax Disparity and IPD : r/virtualreality \- Reddit, https://www.reddit.com/r/virtualreality/comments/bleucn/parallax\_disparity\_and\_ipd/

53. (PDF) Clinical use of hypnosys \- Academia.edu, https://www.academia.edu/9637643/Clinical\_use\_of\_hypnosys

54. A randomized trial investigating the impact of response expectancy, https://pmc.ncbi.nlm.nih.gov/articles/PMC11649415/

55. empirical resolution of the altered state debate | bscah, https://bscah.co.uk/wp-content/uploads/2024/03/EMPIRICAL-RESOLUTION-OF-THE-ALTERED-STATE-DEBATE-221-part-5.pdf

56. (PDF) Responding to Hypnotic and Nonhypnotic Suggestions, https://www.researchgate.net/publication/51194347\_Responding\_to\_Hypnotic\_and\_Nonhypnotic\_Suggestions\_Performance\_Standards\_Imaginative\_Suggestibility\_and\_Response\_Expectancies

57. (PDF) Social cognitive theories of hypnosis \- ResearchGate, https://www.researchgate.net/publication/284338016\_Social\_cognitive\_theories\_of\_hypnosis

58. Guide to SDF+MSDF Fonts \- Red Blob Games, https://www.redblobgames.com/articles/sdf-fonts/

59. Troika Text for Three.js \- GitHub Pages, https://protectwise.github.io/troika/troika-three-text/

60. Accessibility | Color & Type \- UCLA Brand Guidelines, https://brand.ucla.edu/fundamentals/accessibility/color-type

61. Understanding Success Criterion 1.4.3: Contrast (Minimum) | WAI, https://www.w3.org/WAI/WCAG21/Understanding/contrast-minimum.html

62. Web Content Accessibility Guidelines (WCAG) 2.2 \- W3C on GitHub, https://w3c.github.io/wcag/guidelines/22/

63. Critical Examination of Dissociative Identity Disorder. Part II. The, https://www.researchgate.net/publication/8167695\_The\_Persistence\_of\_Folly\_Critical\_Examination\_of\_Dissociative\_Identity\_Disorder\_Part\_II\_The\_Defence\_and\_Decline\_of\_Multiple\_Personality\_or\_Dissociative\_Identity\_Disorder