Geometry
Isometry
A Website by Nick TrombleyLittle Blank Riding Hood
As a student at Chouinard, Larry Bell also started as a painter. His early canvases features simple shapes rendered in gestural strokes...From there he started eliminating the texture of the strokes, applying opaque color (thin Liquitex paint) to unprimed canvas, masking off shapes to create straight-edged parallelograms. An example of these works is Little Blank Riding Hood, whose top left and bottom right corners are clipped, suggesting an isometric projection of a three-dimensional form.
A rhombic geometry
The logo consists of a rhombic geometry which was inspired by Morioka’s drawing which he brought to the first meeting with Takram. During the process of design development, the team explored many different shapes and motifs other than the rhombic, but in the end came back to the very origin. In fact, the rhombic shape embraces two meanings, “an open single book” and “a single small room”. The first message was the vision team shared through the design process, and the second message was later proposed by Takram in order to make the geometry more connected to the character of the space, which Morioka often emphasised unconsciously.
1/3 House
Rever & Drage Architects.
Pylons
Not all the towers along a transmission line are identical. Look closely at a tower where the line makes a sharp turn and you will likely find it is wider and beefier than other towers along the route. The added strength and weight are needed to resist the unbalanced pull of the conductors, which might overturn an ordinary tower. These special towers are called deviation or angle towers.
The transmission-line tower everybody knows is an Erector Set latticework of steel girders and diagonal braces. The techniques for designing and building these towers are the same ones used in constructing steel bridge trusses or crane booms. The individual pieces can be made cheaply from rolled steel and then bolted together on the site. This last point is more important than it might seem: transporting a fully assembled tower 100 feet tall is an awkward and expensive business.
Authentic architectural experiences
Authentic architectural experiences consist of approaching or confronting a building, rather than the formal apprehension of a facade; of the act of entering, and not simply the visual design of the door; of looking in or out through a window, rather than the window itself as a material object; or of occupying the sphere of warmth, rather than the fireplace as an object of visual design.
Architectural space is lived space rather than physical space, and lived space always transcends geometry and measurability.
A World Where Things Only Almost Meet
Recall that great line from Umberto Eco’s novel The Name of the Rose
How beautiful the world would be if there were a procedure for moving through labyrinths.
Only, here, it’s some lonely postal worker—or a geography Ph.D. driven mad by student debt—out mapping the frayed edges of the world, wearily noting every new dead-end and cul-de-sac in a gridded notebook, diagramming loops, sketching labyrinths and mazes, driving empty streets all day on a quest for something undefinable, some answer to why the world’s patterns have gone so wrong. A self-diverging world, where things only almost meet.
Rearranged
Put together with odd bits of the useless Clarice, a survivors’ Clarice was taking shape, all huts and hovels, festering sewers, rabbit cages. And yet, almost nothing was lost of Clarice’s former splendor; it was all there, merely arranged in a different order, no less appropriate to the inhabitants’ needs than it had been before.
Simple variations of the parts
Symmetry, indeed, has been grossly overemphasized in both art and science: its main value is in giving meaning to its absence, dissymmetry, without which there could be no hierarchy.
The eye is repulsed by complexity if no order is detected, but it can be delighted by repetition, translation, rotation, reflection, magnification, and other simple variations of the parts.
The Topography of Tears
A Book by Rose-Lynn FisherThe Topography of Tears is a visual investigation of tears photographed through an optical, standard light microscope, a vintage Zeiss from the late 1970's, mounted with a digital microscopy camera.
Tears are the medium of our most primal language in moments as unrelenting as death, as basic as hunger, and as complex as a rite of passage. They are the evidence of our inner life overflowing its boundaries, spilling over into consciousness. Wordless and spontaneous, they release us to the possibility of realignment, reunion, catharsis, intractable resistance short-circuited. Shedding tears, shedding old skin. It’s as though each one of our tears carries a microcosm of the collective human experience, like one drop of an ocean.
Plus Equals #4
An Article by Rob WeychertOne of the seeds for Plus Equals was planted a few years ago with Incomplete Open Cubes Revisited, my extension of a Sol LeWitt work. I learned a lot about isometric projection from that project, but my affection for the concept didn’t begin there. Whether I’m looking at a Chris Ware illustration or an exploded-view technical drawing of a complex machine, an isometric rendering always stirs something in me.
The joy of the humble brick
An Article by Tim HarfordThe brick is one of those old technologies, like the wheel or paper, that seem to be basically unimprovable. ‘The shapes and sizes of bricks do not differ greatly wherever they are made,’ writes Edward Dobson in the fourteenth edition of his Rudimentary Treatise on the Manufacture of Bricks and Tiles. There’s a simple reason for the size: it has to fit in a human hand. As for the shape, building is much more straightforward if the width is half the length.
Subtilitas
A BlogSUBTĪLITĀS (latin; noun f., 3rd):
fineness of texture, logic, detail; slenderness, exactness, acuteness; sharpness : precisionnarrowdesign.com
A Website by Nick JonesDesign
Prototype
CodeRafael Araujo's Golden Ratio
A GalleryBlue Morpho Double Helix & Icosahedron
Cityspace series
A Gallery by Emily GarfieldPrimary series for imaginary map drawings, spanning 2008-present and using various materials and techniques.
bees & bombs
A Blog
The Nature of Order
Levels of Scale
Scale refers to how we perceive the size of an element or space relative to other forms around it. All things – a tea cup, a building, language, entire eco-systems – consist of smaller components. It is the relationship of the smaller elements which determines the character and degree of life of the whole.
Objects which contain a high degree of life tend to contain a beautiful range of scales within, which exist at a series of well-marked intervals and have clearly recognizable jumps between them. To have good levels of scale, it is extremely important that the jumps between different scales of centers not be too great or too small.
Strong Centers
The idea of a center is at the heart of all that creates life within an object. But rather than the traditional view of an isolated geometry in space, a true center is defined not only by its internal cohesion, but by its relation to context. A strong center can only occur when other centers are intensifying it.
Like levels of scale, the concept of strong centers is recursive. In something which is alive, a strong center is made of many other strong centers, at different levels, which in turn make us aware of the whole they compose.
Boundaries
The articulation of a form depends to a great degree on how its surfaces are defined and meet at edges. The effect of a strong boundary is twofold: First, it focuses attention on the center, further intensifying it; and second, the boundary unites the center which it surrounds with what is beyond.
For the boundary to accomplish both of these tasks – to separate and to unite – it must have a degree of presence as strong as the center which it bounds.
Alternating Repetition
The principle of repetition orders recurring elements in a composition according to their proximity to one another, and by the visual characteristics they share. Elements need not be perfectly identical to be grouped in a repetitive fashion; they must merely share a common trait of size, shape, or detail characteristics allowing each element to be individually unique, yet belong to the same family.
When the repetition within a group of elements occurs parallel on a number of different levels, an alternating rhythm of centers forms, one series of centers intensifying the other.
Positive Space
Positive space refers to shaped space. Where an element occurs in space, the element not only exists with its own shape, but it also acts to define the shape of the space around it. For something to be whole, both the element itself and the space around it must engage one another, each intensifying the other. When this occurs, every single part of space has positive shape as a center – there are no amorphous, meaningless leftovers.
Every shape should be a strong center in itself, which is in turn made up of other, smaller centers.
Good Shape
Shape is the principal identifying characteristic of form, resulting from the specific configuration of a form’s surfaces and edges. Good shape happens when the surfaces and edges of a form have strong centers in every part of themselves.
A good shape, even if complex, can usually be broken down easily into more simple shapes. A good shape tends to contain a high degree of internal symmetries, an overall bilateral symmetry, and a well-marked center. The good shape also creates positive space around it, is very strongly distinct from what surrounds it, and has a feeling of being closed and complete.
Local Symmetries
Symmetry, or the balanced distribution of equivalent forms or spaces about a common line or point, can organize elements in architecture in two ways: an entire organization can be made symmetrical, or a symmetrical condition can occur in only a portion of the building or object, at any scale. The latter case is what we refer to as local symmetry.
Overall symmetry in an object tends to look mechanical and lifeless, usually due to the fact that local symmetries are absent within the overall form. However, when there are local symmetries, centers tend to form and strengthen the whole.
Deep Interlock
Forms which have a high degree of life tend to contain some type of interlock – a “hooking into” their surroundings – or an ambiguity between element and context, either case creating a zone belonging to both the form and to its surroundings, making it difficult to disentangle the two.
The interlock, or ambiguity, strengthens the centers on either side, which are intensified by the new center formed between the two.
Contrast
Works of art which have great life often have intense contrast within: rough/smooth, solid/void, loud/silent, empty/full. It is the difference between opposites which gives birth to something. Contrast is what often gives other principles their degree of life – the intensity of the boundary, the markedness of the alternating repetition.
Contrast strengthens centers by making each a deeper entity of itself, and thereby giving deeper meaning to both. It is, at its simplest, what allows us to differentiate. But meaningless contrast remains meaningless. It is only when centers are actively, mutually, and meaningfully composed that it acts to deepen the whole.
Graded Variation
Gradients must arise simply because in the natural world, things vary in size, spacing, intensity, and character. All living things tend to have a certain softness. One quality changes slowly, not suddenly, across space to become another.
In something which has life, throughout the whole there are graded fields of variation, often moving from the center to the boundary or vice-versa. We are able to read the character of a larger center often because of the gradation of smaller centers across the larger form.
Roughness
Roughness is the odd shape, the quick brush stroke, the irregular column size or spacing, the change in pattern at the corner – it is adjusting to conditions as they present themselves with meaning, but without ego or contrived deliberation.
Though it may look superficially flawed, especially with human perception accustomed to mass-produced regularity and perfection as a goal, an object with roughness is often more precise because it comes about from paying attention to what matters most, and letting go of what matters less.
Echoes
When echoes are present within a design, all the various smaller elements and centers, from which the larger centers are made, have a certain sameness of character. There are deep internal similarities, or echoes of one another, which tie all the elements and centers together at various scales to form a cohesive unity of being.
The Void
Objects or elements which have the greatest depth, which actively draw the senses in, have at their heart an area of deep calm and stillness – a void bounded by and contrasted with an area of intense centers around it.
When an element becomes all detail, its own constant buzz tends to dilute its overall strength. Like a musical wall of sound, it pushes against our perception to produce a flat field-like state. Conversely, it is the pause which allows us to interlock with a piece of music and feel its depth. The presence of void, at many scales, provides a contrasting calm to alleviate the buzz and strengthen the center.
Inner Calm
Living things tend to have a special simplicity, an economy developed over time in which all things unnecessary, or not supporting the whole, are removed. This does not preclude ornament, as even in nature ornament has its very necessary place. What simplicity does is cut away the meaningless attachments to an element, the things which often distract and confuse its true nature. When this is done, an object is in a state of inner calm.
Not-Separateness
Not-separateness is the degree of connectedness an element has with all that is around it. A thing which has this quality feels completely at peace, because it is so deeply interconnected with its world. There is no abruptness, no sharpness, but often an incomplete edge which softens the hard boundary. The element is drawn into its setting, and the element draws its setting into itself.
Not-separateness is a profound connection occurring at many scales between a center and the other centers which surround it, so that they melt into one another and become inseparable.