Sol Ok, Jenny Rong, Girolamo Carollo, Abraham Dreazen
Showing posts with label braiding. Show all posts
Showing posts with label braiding. Show all posts
110512 - braided landscapes
Examples of the braided landscapes. Go here for a slideshow of more models and here for the handout that introduced this exercise.
Sol Ok, Jenny Rong, Girolamo Carollo, Abraham Dreazen
Sol Ok, Jenny Rong, Girolamo Carollo, Abraham Dreazen
110307 - material analysis
Example of the material analysis drawings. This material is composed of wood molding profiles, cut into parts, in assemblies of increasing scales (unit, strand, braid) to construct a landscape condition. Go here for a slideshow of more drawings and here for the handout that introduced this exercise.
unit - sol, girolamo, jenny r, abraham
strand - ned, aimee, jenny b
braid - alyssa, julie, matthew, yoshi
110203 - multiplicities
Multiplicities are rhizomatic…A multiplicity has neither subject nor object, only determinations, magnitudes, and dimensions that cannot increase in number without the multiplicity changing in nature (the laws of combination therefore increase in number as a multiplicity grows).
- Gilles Deleuze
Rhizome Versus Tree
A multiplicity is an organization belonging to the many. A multiplicity is a flexible body that alters its configuration as it repeats (see images below). A multiplicity is defined from its outside through relationships with other multiplicities. Units and strands becoming landscapes are multiplicities. Repetitive alterations to their configurations define transformative logics. Relationships with other units or strands define combinatorial logics.
MATERIAL DEVELOPMENT
Transformative and combinatorial logics derived from the geometries of molding profiles, units and strands yield a type of material. Careful maintenance of these logics – even as they are adjusted in response to the braiding diagram – will produce order and pattern in the material as it is worked. Do not allow other externally defined constraints – size, structural integrity and opacity of the landscape – to override internally defined rules for incremental change (transformative logics) and attachment (combinatorial logics).
MATERIAL ANALYSIS
In Rhino, model the molding profiles, units and strands used to build the landscape. From these models, develop a series of diagrams that unpack the derivation and assembly of this material. Indicate the following:
- Gilles Deleuze
Rhizome Versus Tree
A multiplicity is an organization belonging to the many. A multiplicity is a flexible body that alters its configuration as it repeats (see images below). A multiplicity is defined from its outside through relationships with other multiplicities. Units and strands becoming landscapes are multiplicities. Repetitive alterations to their configurations define transformative logics. Relationships with other units or strands define combinatorial logics.
Four dimensional projections –
E. Jouffret, 1903
Recursively patterned landscape –
Tom Beddard, 2011 (www.subblue.com)
Transformative and combinatorial logics derived from the geometries of molding profiles, units and strands yield a type of material. Careful maintenance of these logics – even as they are adjusted in response to the braiding diagram – will produce order and pattern in the material as it is worked. Do not allow other externally defined constraints – size, structural integrity and opacity of the landscape – to override internally defined rules for incremental change (transformative logics) and attachment (combinatorial logics).
MATERIAL ANALYSIS
In Rhino, model the molding profiles, units and strands used to build the landscape. From these models, develop a series of diagrams that unpack the derivation and assembly of this material. Indicate the following:
- How analyzing curvatures of molding profiles informs cutting and reattaching parts to form units.
- How units attach, rotate, etc. to form strands.
- How strands braid with each other to form the landscape.
110127 - braiding landscapes
It may be helpful to realize…that the primary form of mathematical communication is not description, but injunction. In this respect it is comparable to practical art forms like cookery, in which the taste of a cake, although literally indescribable, can be conveyed to the reader in the form of a set of injunctions called a recipe.
- G. Spencer-Brown
Laws of Form, 1969
Braiding (and other techniques for interconnecting stranded material, knitting, weaving, etc.) is executed according to a pre-defined set of directives called injunctions. The finished form of a braid or knit may be ‘literally indescribable,’ but it can be communicated in a set of injunctions.
Working by injunction is fundamentally exploratory because outcomes cannot be fully anticipated. It involves iterative improvement (a recipe for baking a cake is followed, results are evaluated, recipe is adjusted to achieve a more desirable outcome, and the cake is baked again). It is a technique for avoiding pre-figuration and extending beyond the expected. Much of the work you are currently doing is by injunction; keep this in mind as you begin braiding landscapes.
DIAGRAM
In groups of four, select one river map that will inform a set of injunctions for braiding – collaboratively develop a braiding diagram based on this map. The braiding diagram will:
LANDSCAPE
Extending from individually created units and intersecting strands, begin collaboratively building the landscape. The braiding diagram will serve a guide, though be aware that the internal logics of the wood molding profile material system will push back against this externally derived set of directives. Allow internal logics and external directives to evolve in negotiation with one another. In a series of tests, iteratively modify procedures for building stranded units and the braiding diagram until they work in concert to realize the landscape.
The group landscape must measure 48” x 48” x 12”. It must be at least 80% opaque when viewed directly from above. It must incorporate at least two different molding profiles. It may incorporate a secondary structural system of wood dowels for strength and rigidity. Sections of the landscape may be detachable for transport and storage.
- G. Spencer-Brown
Laws of Form, 1969
Braiding (and other techniques for interconnecting stranded material, knitting, weaving, etc.) is executed according to a pre-defined set of directives called injunctions. The finished form of a braid or knit may be ‘literally indescribable,’ but it can be communicated in a set of injunctions.
Working by injunction is fundamentally exploratory because outcomes cannot be fully anticipated. It involves iterative improvement (a recipe for baking a cake is followed, results are evaluated, recipe is adjusted to achieve a more desirable outcome, and the cake is baked again). It is a technique for avoiding pre-figuration and extending beyond the expected. Much of the work you are currently doing is by injunction; keep this in mind as you begin braiding landscapes.
knitted surface: Aurelie Mosse
weaving diagram
DIAGRAM
In groups of four, select one river map that will inform a set of injunctions for braiding – collaboratively develop a braiding diagram based on this map. The braiding diagram will:
- extract organizational principles from the river map (not attempt to duplicate it)
- introduce a logic for passing strands over and under each other
- indicate how a series of individual strands fill a field
- describe repetitive braiding operations serve as a guide or set of directives for producing the landscape
LANDSCAPE
Extending from individually created units and intersecting strands, begin collaboratively building the landscape. The braiding diagram will serve a guide, though be aware that the internal logics of the wood molding profile material system will push back against this externally derived set of directives. Allow internal logics and external directives to evolve in negotiation with one another. In a series of tests, iteratively modify procedures for building stranded units and the braiding diagram until they work in concert to realize the landscape.
The group landscape must measure 48” x 48” x 12”. It must be at least 80% opaque when viewed directly from above. It must incorporate at least two different molding profiles. It may incorporate a secondary structural system of wood dowels for strength and rigidity. Sections of the landscape may be detachable for transport and storage.
110117 - braids
A braided river is not truly braided. Or at least it is impossible to identify any real braiding of strands in an image of the river because individual flows of water appear to intersect each other. Mathematically speaking, a braid is a type of knot. A knot is a continuous curve in space that does not intersect itself. So in a braid, individual strands pass over or under each other without intersecting.
Described by Adams in The Knot Book, "A braid is a set of n strings, all of which are attached to a horizontal bar at the top and bottom. Each string always heads downward as we move along any one of the strings from the top bar to the bottom bar. Another way to say the same thing is that each string intersects any horizontal plane between the two bars exactly once."
example of a braid
Given a specific number of strands, there is a specific
number of ways the strands can cross each other...
...and individual crossings can be combined
to form a more complex braid.
Braids can be 'multiplied' by stacking
them on top of one another.
Read the excerpt from The Knot Book (posted here on the blog) not necessarily to understand all the mathematics of knotting and braiding, but to help imagine different types of braids and how to manipulate them.
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