Showing posts with label Plato. Show all posts
Showing posts with label Plato. Show all posts

Friday, 1 May 2026

Some primitive forms


By chance I found the image above entitled 'Some Primitive Forms', it reminded me of Hokusai's 'how to' drawings, whereby he shows us how to construct images out of basic geometry.

Hokusai

I was also reminded of William Latham's 'Family of forms' and his involvement in the Organic Art product. The idea was to show how organic forms could be 'bred' by asking a computer program to develop more and more complex forms from combinations of basic units.

William Latham

William Latham: A Family of Forms

Reflections bring about connections and I was soon thinking again about the time when I used to teach on the Foundation Course at Leeds. One of the processes we used to engage with was building complex forms out of simple shapes. We used to get students to draw simple 'primitive' shapes in the form of three dimensional solids and then to use them to construct more and more complicated forms. We would begin by constructing images similar to the ones immediately below. Occasionally I need to remind myself of how useful and important an idea this was.


The concept that the world can be constructed from a series of basic building blocks is an ancient one and relates to Plato's idea that beneath the complexity of appearance, there lay a basic set of simple forms, in his case we have what we now call the Platonic Solids, five simple forms whereby each face is made up of the same regular flat polygon and the same number of polygons meet at each corner. These forms would also come to have symbolic meanings, the cube representing earth, the octahedron air, the tetrahedron fire, the icosahedron water and the dodecahedron the whole universe.The thing about primitive forms is that you can gradually make them more convoluted, which is great if you are thinking about drawing complicated things. 

The first form to draw three dimensionally is usually the cube. This can be done in perspective as above or it can be an isometric as immediately below. Once you are able to do this, the first set of complicated forms most students produce are made by cutting slices and blocks out of the first set of primitives.

Isometric rectangular blocks being cut into


You can also twist a basic shape, or elongate it by pulling it. If you have sliced it, you can gradually change each slice, so that a form begins to bend or get larger or smaller as it is built. 






Once you have grasped the basic concept you can go on to create organic looking forms such as the shell below. all you need to do as a drawer, is to have a basic grasp of perspective and the time to practice drawing these forms over and over again, so that in your head you have a good three-dimensional understanding of possibilities. 

Drawing for snail votive

This notebook drawing for a snail votive may seem a long way from the concept of primitive forms but without time spent doing the work of drawing those forms many years ago, the what seems to be a quickly thrown off sketch, would not be anywhere near as convincing. 

Snail votive

In the world of CGI, other techniques and processes have now been introduced that build on more sophisticated rendering systems to do something similar, but with an inbuilt awareness of light interaction as forms evolve, so that the changing form of shadows becomes a vital part of the process.  

Some primitives made by raymarching 

For instance, raymarching is a 3D rendering technique that iterates rays step-by-step through a scene, often using Signed Distance Fields (SDFs) to determine safe step distances, (the distance an object travels between frames, to achieve natural, weight-accurate, and smooth movement). Unlike traditional polygon-based rendering, it is frequently used to render complex, procedural or fractal geometry by calculating, rather than intersecting, surfaces.

It gets more interesting when you begin putting forms together. Nature of course got there first, anabolism is the process where cells build complex molecules from simpler ones. Examples include amino acids joining to form proteins or nucleotides forming DNA strands. 

I'm always looking for visual metaphors and the idea of building images from 'primitive' units, is an interesting one, as it suggests that you can build an image in a similar way to how nature constructs complex forms of life. 

This is an old idea, in the 5th century BC the Greek philosophers Leucippus and Democritus articulated the idea of 'atomism'. This concept which asserted that all matter consists of indivisible, invisible particles called atomos, is at the root of why we now call atoms, atoms. The Roman poet Lucretius, then re-articulated this view and in his influential text 'On the Nature of Things' he wrote that atoms are eternal, vary in shape and combine to form all the physical substances that we experience.

However over the last hundred years or so, we have been breaking down the atom and discovering that it is not indivisible, but that it is made up of quarks, electrons, positrons, neutrons, charm and it seems more and more bits, the more scientists probe into the nature of matter, the more it seems to slip away from our understanding of it as a physical substance.

In India at roughly the same time as Leucippus and 
Democritus were thinking about atomos, a similar idea was being developed by Kaṇāda of the Vaiśeṣika school of thought, he proposed indivisible particles (paramāṇu) too, however he also proposed the idea of atoms having momentary (instantaneous) presence, a presence that flashed in and out of existence. Kaṇāda asserted that all that is knowable is based on motion. He also asserted that all substances are composed of four types of atoms, two of which have mass and two being massless. These ideas were presented within a larger moral framework whereby he defines Dharma as the cosmic order. He understands that duty, law, and a right way of living sustain our universe. This is a foundational principle out of which Hinduism, Buddhism and Jainism will develop concepts of virtue, morality, and righteous conduct. Kaṇāda's explicit mention of motion as the cause of all phenomena in the world, does seem to echo the realisation that it is the flux of energy and solid mass that is fundamental. Our present understanding of the basic interactions governing the universe is based on an agreement that there are four fundamental forces; gravity, electromagnetism, strong nuclear force, and weak nuclear force. There are though still little bits in there in terms of the way physicists think. These four forces dictate how matter and energy interact, but in order to interact there needs to be a factor that allows them to do this and this is where we come across exchange particles or bosons. There are various types and some most of us have come across already, Photons carry the electromagnetic force, Gluons the strong nuclear force, W and Z bosons the weak nuclear force, the Higgs boson that gives mass to particles and the hypothetical Graviton that is supposed to carry gravity.

It would be nice to think that our present understanding of the universe might also come with a moral framework, whereby our understanding of the cosmic order, was reflected in a way to approach life. The interconnectedness of everything makes us aware that we are part of an ever forming universe and therefore any religions or forms of thinking that attempt to fix or hold down our conceptual grasp of who and what we are, should be seen as suspect. Over the centuries we have witnessed terrible wars and conflicts, often initiated by one party or another refusing to see the point of view of another. The inflexibility of thinking that comes from a belief in dogma, has caused us to forget that we need to be in constant dialogue with the world and not see it as something separate from us. Empathy with the not us, could perhaps be the starting point for a new moral framework, one that also saw duty, law and a right way of living as principles on which to sustain our world. 

As an artist I have to sustain my practice with some sort of underlying belief. Perhaps this is a curse as much as a strength. It would be wonderful to just 'know' what is right, I use up so much energy worrying about what stance to take but as I get older I get even more thoughtful as to what it is to make art and in this instance perhaps all I can do is leave you with an unformed blob, something waiting for realisation, something on the way to being something else.

I spend time every week with lumps of clay not too unlike the form above and as soon as my fingers begin to push and pull its surface into different directions, ideas of possibilities begin to emerge. Perhaps that is the point, everything is full of potential and all we need to do is to play. Out of play emerges wonder and it is through wonder that we finally find our place in the world. 

Coda

I'm working in Graz putting up an exhibition of my votive work. On the weekend I decided to visit the local museums, of which there are several. In the natural history museum I was fascinated by the history of the earth under my feet in Styria, (the Austrian province Graz is in), in particular in the geology and mineralogy of the area. As I wondered through the older mineral collection galleries, I think I found what I was meant to find, a section of hand made forms, designed as a learning tool for people wanting to think about how various rock formations were constructed out of underlying geometrical principles.






See also:

Tuesday, 27 August 2024

Margaret Atwood's blue line

There is a collection of Margaret Atwood's short stories called 'Murder in the Dark' published in 1994 by Virago. One of her stories, entitled 'Autobiography', was I felt a wonderful evocation of what happens when you make a drawing. You begin with a line, in this case a blue one and this very quickly becomes the things that imagination breeds as the line moves on and the image gets more complex. But as Atwood's is a very short narrative, indeed a micro story; perhaps it's easier and much better to simply present it as I first read it.

Autobiography by Margaret Atwood

'The first thing I can remember is a blue line. This was on the left, where the lake disappeared into the sky. At that point there was a white sand cliff, although you couldn't see it from where I was standing. On the right the lake narrowed into a river and there was a dam and a covered bridge, some houses and a white church. In front there was a small rock island with a few trees on it. Along the shore there were large boulders and the sawed-off trunks of huge trees coming up through the water. Behind is a house, a path running back into the forest, the entrance to another path which cannot be seen from where I was standing but was there anyway. At one point this path was wider; oats fallen from the nosebags of logger's horses during some distant winter had sprouted and grown. Hawks nested there. Once, on the rock island, there was the half-eaten carcass of a deer, which smelled like iron, like rust rubbed into your hands so that it mixes with sweat. This smell is the point at which the landscape dissolves, ceases to be a landscape and becomes something else.' 

In a few sentences Atwood shows how things grow out of the mind; in her case writing moves along and as it does it creates a world. Then at some point the imaginative unfolding will stop and as an artist you are once again reminded of the reality of what you are doing. As this happens the imaginative world disappears and you are confronted by marks on paper or a memory of the reality that lay behind the fantasy, in either case you step away from what you have created and see it as the fiction it is. 

Taking a blue line for a walk

I have been making imaginative visualisations of the body's interior landscapes, often beginning by taking a felt-tip pen for a walk and just seeing what it will reveal to me. In the drawing above I was fascinated to see that what had emerged was an image that might have been designed as an illustration of the interior of an early mythic human. In his text 'the Symposium', Plato has Aristophanes narrate the history of what he terms the 'Soulmates', the first humans. 

“According to Greek mythology, humans were originally created with four arms, four legs, and a head with two faces. Fearing their power, Zeus split them into two separate parts, condemning them to spend their lives in search of their other halves.” Symposium, Plato 

The interior landscape of these people might well have been a space where ribs and kidneys and other organs were doubled. 

This is Plato's text in full.

“... the primeval human was round, back and sides forming a circle; with four hands and four feet, one head with two faces, looking opposite ways, set on a round neck and precisely alike; also four ears, two privy members, and the remainder to correspond. Humans could walk upright as men now do, backwards or forwards as they pleased, and they could also roll over and over at a great pace, turning on their four hands and four feet, eight in all, like tumblers going over and over with their legs in the air; this was when they wanted to run fast. Now the sexes were three, and such as I have described them; because the sun, moon, and earth are three;-and the human was originally the child of the sun, the woman of the earth, and the man-woman of the moon, which is made up of sun and earth, and they were all round and moved round and round: like their parents. Terrible was their might and strength, and the thoughts of their hearts were great, and they made an attack upon the gods; of them is told the tale of Otys and Ephialtes who, as Homer says, dared to scale heaven, and would have laid hands upon the gods. Doubt reigned in the celestial councils. Should they kill them and annihilate the race with thunderbolts, as they had done the giants, then there would be an end of the sacrifices and worship which humans offered to them; but, on the other hand, the gods could not suffer their insolence to be unrestrained." The answer was of course for Zeus to split them into two separate parts, which is why we spend so much of our lives searching for that 'other half' in order to feel whole again. 

I'm sure Plato's thoughts, just like Margaret Atwood's were arrived at, as Yates put it, 'out of a mouthful of air', the narrative shaping itself as it came into being. As usual I didn't know what I was going to write for this post, just as I never know what a drawing is going to become and that is what makes me keep going; every day I find something new emerging and as it does it can often be a thing of wonder. 

See also:

Drawing as writing

The search for the real

Tim Ingold's Lines

What lies beneath



Tuesday, 12 January 2021

Drawing textures


Physiography from Principles of Cartography by Erwin Raisz 1962


Texture is used to define surface difference. If you look at the textural patterns for various types of geographic landscapes as they might be rendered on a map above, you quickly get an idea of how we use texture to identify differences in physical nature or surface appearance. These differences are what we have become used to as indicators of the thingness or physical quality of objects. We are aware of metals being very different to textiles and that these are different to skin or bone. When we look at the recreation of 3D form in CGI there are three basic levels of 'realism'. The first is the wire frame construction, which I have looked at recently and which has emerged from 'cross contour' drawing practices, linked to technical drawing and perspective conventions. The second level of realism is usually the use of tone to describe form or shading. Phong shading tends to be the default in contemporary 3D computer graphics and it is a type of shading I objected to when I first became interested in 3D computer rendering, because I felt it tended to make everything look like plastic. The next level in terms of visual realism is texture mapping, usually applied alongside Phong or other types of shading software, a process that allows you to take a simple polygon and give it the appearance of something far more complex. The texture map's parametric textural information is tied to the individual polygons that form an object's surface, which means that if the surface moves or deforms the texture goes with it. This is a very convincing construct and is now the standard 'realistic' effect in CGI. You could argue it is today's equivalent of 'trompe-l'œil' painting; the English translation of which would be; “deceive the eye”, indeed its definition is 'the representation of an object with such verisimilitude as to deceive the viewer concerning the material reality of the object'. Therefore 'deception' is central to the textual mapping CGI effect. Plato warned people to be very wary of this state of affairs, he stated over 2,000 years ago that as art imitates physical things, creating in effect a copy of a copy, it leads us further and further away from truth and into a world of illusion.

CGI surface illusion

Another problematic issue in relation to these illusions is 'point of view'. In perspective everything works fine, so long as you are at the exact spot that the perspective is designed to be seen from. This issue was unpicked in detail by Panofsky, who highlighted the fact that perspective was not just a technical means to render space in a convincing way, but that it was a symbolic form. It reinforces a particular way of looking at the world, and I would argue makes the world 'commodifiable' by making objects and buildings appear graspable as things, a state totally at odds to an understanding of a world consisting of actions experienced as processes. 

A powerful illusion can be created of almost any form with a surface texture, in the case of the rooster above feathers and leather are convincingly rendered, making this fantasy cockerel appear to be very 'real'. 

We all know that fur feels soft, tree bark feels rough, and silk feels smooth, but also fur looks soft, tree bark looks rough, and silk looks smooth. This conjoined tactile/visual aspect of surface textural variation as Stephens & Hoffman (2016, p.257) pointed out, has long being used by artists and designers 'to evoke emotions and set moods'. Texture is therefore not just something that can create illusions of reality, it is essential to the development of forms that can stimulate emotion. 

Textures used by Stephens & Hoffman to test out aesthetic preference

It would seem in this case that touch and sight are again brought together in close proximity, our experience of textures being reinforced by a combination of perceptual stimuli. Synesthesia, the perceptual phenomenon in which the stimulation of one sensory or cognitive pathway leads to involuntary experiences in a second sensory or cognitive pathway, it has been argued, (Cytomic, 2002) leads to a much more heightened awareness of the perceived experience. 
Perception and feeling it would appear, are inextricably linked together. The qualia related to both experiences, I would argue reinforcing each other, because the qualia associated with emotional feeling developed as part of the interoception and associated body schema systems, would be generated at virtually the same time as the visual qualia entering the body from outside. These raw qualities of sensations, emotions and thoughts, although experienced privately, subjectively, and directly, are also what will eventually make up the building blocks from which all communication, both logical and emotive, will be effected. (Wolfe and Bell, 2007) A movement of chemical and electrical energy, is central to both perception and resultant action, the holistic nature of the process becoming more and more apparent as research into the processes associated with cognition advances. 

Computer generated textural surfaces developed from hand applied textures

In the image above certain aspects of body schemas have been used to both suggest the idea of the body as its own landscape, as well as being a place within which decisions are being made as to how the body 'thinks' and feels. Indeed it has been argued by Margaret Wilson, (2006, p. 211) that body schemas act as prediction devices, interacting with perception, cognition and behaviour in a variety of ways. These schemas can be thought of as copying devices and as such perhaps lie behind our interest in likeness or similarity as ways to develop meaning. In this way we return to metaphor as being integral to the development of our ideas. 

This close relationship between perception, illusion and emotional stimulus, was also something Plato commented on in relation to his worries about the power of art to effect people's emotional states, not only was illusion to be distrusted because it was not truthful, art's power to effect emotions, meant that for Plato illusion and emotional manipulation are often found together and this is something that we have seen to be more and more the case in this age of post truth politics, CGI and powerful media illusions. However as a process, the interrelationship between perception, illusion and emotional stimulus, would seem to be central to how we as humans devise ideas, so perhaps it is a problem deeply rooted in the very way we need to digest information. Copying, fiction and a tendency to find meaning in likeness all influencing our perceptual receptivity and responses to the world, so rather than like Plato trying to outlaw any art form that uses these tendencies, we should perhaps be seeking to observe how they operate and how we are prone to give effect and agency to perceptions that are as much inner constructions as they are responses to changing outer conditions. 
 
References

Cytowic, R.E., 2002. Synesthesia: A union of the senses. MIT press.

Panofsky, E., 2020. Perspective as symbolic form. Princeton University Press.

Stephens, K.D. and Hoffman, D.D., 2016. On Visual Texture Preference: Can an Ecological Model Explain Why People Like Some Textures More Than Others?. Perception45(5), pp.527-551.

Wilson, M (2006) Covert Imitation: How body schema acts as a prediction device in Knoblich, Thornton, Grosjean and Shiffrar (2006) Human Body Perception from the Inside out Oxford: Oxford University press

Wolfe, C.D. and Bell, M.A., 2007. The integration of cognition and emotion during infancy and early childhood: Regulatory processes associated with the development of working memory. Brain and Cognition65(1), pp.3-13.


See also: