Form constant

Short description: Recurringly observed geometric pattern

An example of a form constant

A form constant is one of several geometric patterns which are recurringly observed during hypnagogia, hallucinations and altered states of consciousness.

## Contents

* 1 History
* 2 Precipitants
* 3 Cultural significance
* 4 See also
* 5 References
* 6 Sources
* 7 External links

## History

Klüver's four form constants

In 1926, Heinrich Klüver systematically studied the effects of mescaline (peyote) on the subjective experiences of its users. In addition to producing hallucinations characterized by bright, "highly saturated" colors and vivid imagery, Klüver noticed that mescaline produced recurring geometric patterns in different users. He called these patterns "form constants" and categorized four types: lattices (including honeycombs, checkerboards, and triangles), cobwebs, tunnels, and spirals.[1]

In 1988 David Lewis-Williams and T.A. Dowson incorporated the form constant into his Three Stages of Trance model, the geometric shapes comprising the visuals observed in the model's first stage.

## Precipitants

Klüver's form constants have appeared in other drug-induced and naturally occurring hallucinations, suggesting a similar physiological process underlying hallucinations with different triggers. Klüver's form constants also appear in near-death experiences and sensory experiences of those with synesthesia. Other triggers include psychological stress, threshold consciousness (hypnagogia), insulin hypoglycemia, the delirium of fever, epilepsy, psychotic episodes, advanced syphilis, sensory deprivation, photostimulation, electrical stimulation, crystal gazing, migraine headaches, dizziness and a variety of drug-induced intoxications.[1] These shapes may appear on their own or with eyes shut in the form of phosphenes, especially when exerting pressure against the closed eyelid.[2]

It is believed that the reason why these form constants appear has to do with the way the visual system is organized, and in particular in the mapping between patterns on the retina and the columnar organization of the primary visual cortex. Concentric circles in the retina are mapped into parallel lines in the visual cortex. Spirals, tunnels, lattices and cobwebs map into lines in different directions. This means that if activation spreads in straight lines within the visual cortex, the experience is equivalent to looking at actual form constants.[1]

Author Michael Moorcock once observed in print that the shapes he had seen during his migraine headaches resembled exactly the form of fractals. The diversity of conditions that provoke such patterns suggests that form constants reflect some fundamental property of visual perception.

## Cultural significance

Form constants have a relationship to some forms of abstract art, especially the visual music tradition, as William Wees noted in his book Light Moving in Time about research done by German psychologist Heinrich Klüver on the form constants resulting from mescaline intoxication. The visual and synaesthetic hallucinations this drug produced resembles, as Wees noted, a listing of visual forms employed in visual music:

> [Klüver’s] analysis of hallucinatory phenomena appearing chiefly during the first stages of mescaline intoxication yielded the following form constants: [emphasis original] (a) grating, lattice, fretwork, filigree, honeycomb, or chessboard; (b) cobweb; (c) tunnel, funnel, alley, cone or vessel; (d) spiral. Many phenomena are, on close examination, nothing but modifications and transformations of these basic forms. The tendency towards "geometrization," as expressed in these form constants, is also apparent in the following two ways: (a) the forms are frequently repeated, combined, or elaborated into ornamental designs and mosaics of various kinds; (b) the elements constituting these forms, such as squares in the chessboard design, often have boundaries consisting of geometric forms.[3]

These form-constants provide links between abstraction, visual music and synaesthesia. The cultural significance of form constants, as Wees notes in Light Moving in Time is part of the history of abstract film and video.

The practice of the ancient art of divination may suggest a deliberate practice of cultivating form constant imagery and using intuition and/or imagination to derive some meaning from transient visual phenomena.

Psychedelic art, inspired at least in part by experiences with psychedelic substances, frequently includes repetitive abstract forms and patterns such as tessellation, Moiré patterns or patterns similar to those created by paper marbling, and, in later years, fractals. The op art genre of visual art created art using bold imagery very like that of form constants.

In electroacoustic music, Jon Weinel has explored the use of altered states of consciousness as a basis for the design of musical compositions. His work bases the design of sonic materials on typical features of hallucinatory states, and organises them according to hallucinatory narratives. As part of this work, form constants feature prominently as a basis for the design of psychedelic sonic and visual material.[4]

## See also

* Biosemiotics
* Unsolved:Closed-eye hallucination - Class of hallucination
* Physics:Entoptic phenomenon - Visual effect whose source is within the eye itself
* Biology:Hypnagogia
* Software:Kaleidoscope
* Philosophy:Mandala - Spiritual and ritual symbol in Hinduism, Jainism and Buddhism
* Pattern recognition - Automated recognition of patterns and regularities in data
* Physics:Psychophysics
* Philosophy:Qualia
* Biology:Visual cortex - Region of the brain that processes visual information
* Unsolved:Visual snow - Visual impairment
* Biology:Visual system - Body parts responsible for vision
* Uniform tilings in hyperbolic plane - Symmetric subdivision in hyperbolic geometry

## References

1. ↑ 1.0 1.1 1.2 Bressloff, Paul C.; Cowan, Jack D.; Golubitsky, Martin; Thomas, Peter J.; Weiner, Matthew C. (March 2002). "What Geometric Visual Hallucinations Tell Us About the Visual Cortex". Neural Computation 14 (3): 473–491. doi:10.1162/089976602317250861. PMID 11860679.
2. ↑ Tyler, CW (1978). "Some new entoptic phenomena.". Vision Research 18 (12): 1633–9. doi:10.1016/0042-6989(78)90255-9. PMID 726316.
3. ↑ Wees, William C. Light Moving in Time: Studies in the Visual Aesthetics of Avant-Garde Film, (Berkeley: University of California Press, 1992), p. 66.
4. ↑ Weinel, J. "Visual patterns of hallucination as a basis for sonic arts composition" . Proceedings of Audio Mostly 2013.

## Sources

* Blackmore, Susan. Dying to Live: Near-Death Experiences. Buffalo, NY: Prometheus Books, 1993.
* Cytowic, Richard E., The Man Who Tasted Shapes.
* Ermentrout, G.B. and Cowan, J.D., "A mathematical theory of visual hallucination patterns." Biol. Cybernet. 34 (1979), no. 3, 137–150.

## External links

* Text from "Hallucinogens and Creativity" page by Susan Opar
* "Spontaneous pattern formation in large scale brain activity: what visual migraines and hallucinations tell us about the brain"; online video of lecture by Jack Cowan
* "Spontaneous pattern formation in the primary visual cortex"
* free version of "What Geometric Visual Hallucinations Tell Us about the Visual Cortex"

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* t
* e

Phenomena of the visual system

Entoptic phenomena|

* Blind spot
* Phosphene
* Floater
* Afterimage
* Haidinger's brush
* Prisoner's cinema
* Blue field entoptic phenomenon
* Purkinje images

Other phenomena|

* Aura
* Form constant
* Scintillating scotoma
* Palinopsia
* Visual snow
* Afterimage on empty shape
* Cosmic ray visual phenomena
* Scotopic sensitivity syndrome
* Closed-eye hallucination

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