Showing posts with label basic form. Show all posts
Showing posts with label basic form. Show all posts

Tuesday, 18 January 2022

A straight line

In a city a straight line is something you confront on a daily basis, and it is central to our western European view of the world. Engineering and architecture both rely on the straight lines of geometry. Every room we enter has straight edges to it, if not it is something of an oddity, for instance Gaudi's architectural visions are seen as just that, 'strange visions', rather than the norm. Contrast this situation with the architecture of Burkina Faso.  

The straight line is an idea, a construct and as such it carries within it a densely compacted body of information that comes from its history.

The first straight lines produced by human beings would have been made with threads. The easiest line to make would be for someone to pull a thread held or tied at the other end, until it tightened.  The tightened thread would make a perfectly straight path.

Once understood as a principle, the next step would be to stick a length of wood into the ground. Do the same with a 2nd length at a set distance. Tie a thread between the two points and tighten, then that could be checked by looking along the line to see a straight. Once this principle was understood, you didn't need the string or thread any more because now the line was also an idea and you could 'sight' a line by lining up two things. 

Geometry begins with string, imagine the nails as posts set into the ground, huge 'sacred geometry' forms are then easy to envisage.

The Nazca peoples checked the straightness of their drawing lines through the landscape by putting a notch or hole in a length of wood pushed into the ground and using that to 'sight' another pole set into the ground at a distance. Stones could then be moved into place whilst someone siting the straight shouted instructions or indicated using arm movements, whether to move them to the left or right. 

Nazca lines

To make a perfectly vertical straight line, find a high point, such as a tree branch, tie a thread or string to it, and tie a heavy object at its other end. The path that the string runs through is always perfectly straight. This has been used to check whether a building's wall is upright at 90 degrees or a right angle, for thousands of years. We now call the tools for doing this a plumb bob and line.

Plumb bob and line

We live in spaces often defined by straight lines and because we know them to be straight, we also believe we see them as straights. I was first made aware of this by a drawing tutor, who would stand behind us with a long straight edge, he would hold it above our heads and advance it slowly until we could see its ends via peripheral vision. Suddenly its shape came into vision and it was a curve, but as it was pushed further forward and we could recognise it 'properly' as a length of 2 x 2 timber it reverted to being straight. 

Any straight seen, is seen by you as from the centre of a sphere. 

We in effect 'see' what we think is there and not what is actually there. The attempt to look at a straight line and actually measure it and draw it is such a basic activity, that it is rarely done, because it is in effect questioning everything we see. 

A drawing produced by someone looking at a straight edge set at right angles to them as in the line AB above.

Because the straight line is such a powerful idea, it can also be used to think about what ideas are and about what sort of ideas can be carried within visual constructions like lines or angles. 

The artist Cornelia Parker is a conceptual thinker. She likes making art that asks questions. She at one time made a series of self portraits using her own blood to draw basic forms, such as 'Self Portrait as a Line'. 

Cornelia Parker: Self portrait as a line

We think about the use of our own blood in very particular ways, for instance it reminds us of self-sacrifice, and ideas such as the transmutation of the body as in Christianity. The line is such an essential idea, it is suggested by Parker, that it is as a concept in a similar category to some aspects of religion. A straight line doesn't exist outside of the idea of it and the same could be said of religion, these things are all in our minds. 

Marcel Duchamp is often credited with the invention of conceptual art, (not that any one person could ever really be credited with such an idea, because the majority of art is and has always been conceptual, but perhaps this argument is for another day), and one of his earliest pieces was made as a response to the power of the measured straight line.

But first of all a bit of history. The Egyptians defined the 'Royal Cubit' as the length of the ruling Pharaoh’s forearm and hand. They had very big building projects and needed clear measurements in order to communicate ideas. The cubit was only a cubit if it existed along a straight line.  A yard was originally the length of a man's belt, something that could like the string, be pulled straight in order to act as a measure. In the 12th century, King Henry I of England fixed the yard as the distance from his nose to the thumb of his out-stretched arm. These 'rulers' would come and go but eventually the meter was decided upon as the standard we should all use because it was now science that ruled. First defined by the French Academy of Sciences as 1/10,000,000 of one half of a meridian, (the shortest distance from the North Pole to the Equator), after checking this, a platinum bar was made as the prototype meter for this new official distance which became known as the “mètre des Archives” and it was stored in the French National Archives. For every day use the meter was now literally set in stone, the “mètre étalon” being a small shelf of marble installed beneath the arcade at 36, rue Vaugirard, right across from the Senate at the Palais du Luxembourg. 

The mètre étalon

Duchamp's response to this was to cast aspersions on all this scientific decision making and to create his own versions of the metre. He had read of Alfred Jarry's 'Pataphysics' a concept that took the idea of science and bent it until it was broken by sex and other human emotions. 'Three Standard Stoppages' was an idea first constructed in 1914 and it consisted of a materialised idea. The idea was this: To take three metre lengths of thread and to drop them from a one metre height. Each length on landing was traced around and the tracing used as a template from which to cut a wooden 'ruler'. These three rulers and the threads would then be presented in a specially designed case, made to look as if it was of a similar sort to those already in use as 'metre checks' throughout France. 
Duchamp: Three Standard Stoppages

In England we had our own inch, feet and yard system, one that had to also be fixed.

British standard lengths set in a wall at Greenwich

Alongside the British standard lengths there are protrusions around which a length of string could be wound so that a 'straight' line can be stretched between two points and the measure taken away. The nearest equivalent site to where we are in Leeds is in Bradford city centre. The Standards of Imperial Measurement are to be found on plaques situated behind the statue of Queen Victoria, just over the road from the Media Museum. 



Bradford city centre: Standards of Imperial Measurement

All of these constructions would be unthinkable without the idea of the straight line. Perhaps it is time to look around you and to think about where these lines exist and what they might signify. In common present day language 'straight edge' means having an ascetic or abstinent lifestyle; hippy culture was often presented as bright psychedelic swirls; it is interesting how our visual language is often used to present lifestyle choices, think of those 'beige' people, those that are normal to the point of being bland. 
Lines in drawings are capable of so much more than just length measurement. Their materiality includes the substances of making, such Vic Muniz’s lines rendered in runny chocolate sauce when making a drawing of Jackson Pollock at work, or Motoi Yamamoto's intricate line mazes of salt.

Motoi Yamamoto

Do we think enough about the materials we use to make lines with? Sugar lines are so different to salt lines, pencil lines so different to those made using ink. 

A line also has direction, Vertical lines are straight up and down lines that are moving in space without any angular direction and are perpendicular to horizontal lines. They suggest height, uprightness, good health and strength. Width variation can suggest their moving backwards and forwards in space.
vertical lines example

Horizontal lines are straight lines parallel to the horizon that move from left to right. They suggest width, distance, calmness, rest and stability, but also lying down, sleep and death.
But what if the line has a certain quality to it?

Are these straight lines capable of holding ideas about emotional states or sounds or ...? 

A straight line drawn at an angle

This is a case of going back to square one. This post is a reminder that as we draw more we tend to forget the basics and in doing so lose track of what we are doing and the possibilities for communication. 

See also:

Drawing measuring and the body

Mathematical shapes of interest

Drawing with alternative materials

Oak gall ink

Graphite

Dotted lines

Signs of life in flowing line drawings

Technical drawing

Wednesday, 5 January 2022

Curves

When we draw freehand we make curves by using various parts of our body as if they were the arms of a compass. Drawn curves can be thought of as segments of a circle and the centre of each of these imaginary circles being the shoulder, the elbow or the wrist of the drawer, (or any other part of the body for that matter that you can use as a fulcrum or pivot). This determines the radius of the circle and therefore the type of curve that is being made; a situation obvious, but often forgotten. 

Jasper Johns is an artist that once he has developed an image, pushes it through various print and drawing processes to test how far his image is a product of its media specificity. I find Johns' approach fascinating, and we rarely see such a control over image making. 'Diver' is one of his drawn images that isn't a drawing of a painting. The dark smudginess of the charcoal is more an intimation of death by drowning than perhaps a painted encaustic version would have been. In this image we can find various impressions of the artist, both his feet and hands appear, but above all we have an echo of a swimming stroke, the curve of the arms as they front crawl, being very similar to the curve made by the arms as they draw a circle, the drag of marks over the drawing's surface, echo the movements of hands struggling to swim up towards the sea's surface. Johns was thinking about the death by drowning of the poet Hart Crane, an event that happened some 30 years before he made the drawing, but a death that still resonated for Johns. He empathised with Crane's homosexuality, and he was interested in the way that Crane's poetry could sweep a reader along with swells of passion and the irrational language of love, something Johns was still struggling with in an early 1960s America that was yet to come to terms with homosexuality, something still treated as an unfortunate  condition rather than a fact of life. 

Jasper Johns: Diver


Periscope

Jasper Johns: Fool's House

For Johns a brush could be a symbol for an artist. A paint brush is simply an arm extension with an artificial hand on the end. Fingers can be bristles, just as the arm can be the shaft of the brush. But brushes when they are brooms also sweep out the house, they can be central to a spring clean, as we brush away the cobwebs, we also clear our minds. Johns' interest in naming is also important, once an object is named or labeled, it has been "identified" as an thing and removed from its doing. The swing of the 'broom', leaves the trace of another arc or curve, something that is a sign of action rather than a fixed label. All of these issues could be regarded as tangental to the situation, a position that is of course a product of the geometry of curves, a tangent being a straight line that touches a curve at a single point. Each new subject or idea being tangential to the first subject; it touches it but then moves off in a different direction; which is sort of how I try to build the posts in this blog on drawing. 

Rembrandt 

Look at the drawing by Rembrandt above, you can feel his wrist turning as he makes a variety of curves to build the image. He pulls his curves into and out of the spaces that they sit in. Bodies open themselves to his movements, curves never quite closing into circles, because he needs masses to merge into spaces. The child's hat provides a rotating fulcrum for the image, whilst the two flanking people are tied to the child by energy lines that open out into mass indicators. The speed of his visual notation is awesome, we feel the moment of capture in the drawing's swift curvature and Rembrandt's sensitivity to the punctum* of the situation in the way he establishes what is most important with total economy. This is the curve experienced in perceived life, far less conceptual than Johns, but a powerful thought non the less. 
*Roland Barthes used the word 'punctum' first of all in relation to a photograph. He stated; 'The punctum of a photograph is that accident which pricks me (but also bruises me, is poignant to me). This could be translated as the aspect of an image that gets to you first, that something that triggers a particular reading of an image. 

Paule Vézelay: Curves and Circles 1930

Vézelay was one of the first British artists to explore abstraction. In Curves and Circles she brings together cloudy abstract shapes, with elegant, twisting curves, curves that could almost be taken from an old manual on good handwriting that describes and traces the movement of the writer’s hand. The background resembles a cloudy sky or milky sea, as if the lines were floating in air or water, the curves move through this fluid space as would swimming snakes or nematodes, twisting lifeforms in a sea alongside other emerging micro organisms. These are curved lines as simple life forms, the curve as a basic building block for form. 

Leonardo

Leonardo was fascinated by curves. His seated man is composed of curves, from the crossed legs to the folded arms, all is curved. Leonardo's interest in water and hair, is based on a similarity he finds between two ideas, the flow of a hair covered surface and the lines of water eddies. As he puts it: 
“Observe the motion of the surface of the water which resembles that of hair, and has two motions, of which one goes on with the flow of the surface, the other forms the lines of the eddies; thus the water forms eddying whirlpools one part of which are due to the impetus of the principal current and the other to the incidental motion and return flow.” P. 389 of Leonardo’s manuscripts, the Codice Altantico Available here
Leonardo's obsession with movement and energy emerges via a language of sprung curves that he began to see everywhere, the curve being in many ways for Leonardo a symbol for life's energy, or the élan vital, a creative principle that Henri Bergson believed to be immanent in all organisms and responsible for evolution; this was the 'vital force' or impulse of life. Bergson believed that immediate experience and intuition were far more important than logical thinking, rationalism and science as ways to understanding reality. There is something very beautiful in the fact that a simple curved line can therefore hold within it or represent, an idea that emerges as a principle that underpins all life.  
In the book 'The Curves of Life', Sir Theodore A. Cook, argues that the spiral or helix may lie at the core of life's first principle, that of growth. He points out that the spiral is fundamental to the structure of plants, shells, and the human body; to the periodicity of atomic elements and to an animal's horns; to microscopic DNA (the double helix) and to the Andromeda nebula. 

Tony Orrico

Tony Orrico's 'Heel as Pivot' drawings begin by pivoting the arms to feet flat on the floor and then with heels raised a second curve is made. The change in radius produces related forms, one inside the other, a form that reflects the bilateral structure of its maker, a structure that echoes the one Jasper Johns found for his image, 'Diver'. 

Anastasia Faiella 

Anastasia Faiella also uses her body as a set of anchor points and pivots in her performance drawings, and I would also argue that Van Gogh was doing the same, making marks as memories and traces of circular finger, wrist and elbow movements, his drawings the psychic traces of a body's rhythmic movements.

Van Gogh

The curve of life runs throughout the history of drawing, sometimes as a purely physical trace of human actions, at others as a controlled idea that seeks to construct a concept about what lies beneath superficial surface appearance. 

See also:

Euler spirals and road design