100225 - instrument

Geometry is one subject, architecture is another, but there is geometry in architecture. Its presence is assumed much as the presence of mathematics is assumed in physics, or letters in words. Geometry is understood to be a constitutive part of architecture, indispensable to it, but not dependent on it in any way…

- Robin Evans
The Projective Cast, Architecture and its Three Geometries, 1993

Building on the knowledge of sunpath geometry gained in the landscape shadow analysis, you will now develop an instrument for tracking and filtering sunlight. Consider the solar system model below; study how data gathered from the surface of the earth allowed this model to be constructed. Consider Francois Roche’s Laboratory of Light; study how it works as a device that tracks the moon and how drawings of the project relate the paths of celestial bodies to the geometry of the building.

  Mechanical model of the solar system,

Francois Roche, R&Sie(n)

GRADIENT FIELD

Your instrument will be a gradient field of apertures and fins. Construct it from two-ply bristol board (comprising the skin of the apertures and fins) and piano wire (comprising the structure that supports the apertures and fins). Use the sun path geometry template to study aperture and fin configurations in Rhino and aid the development of the physical model.

The field must have structural integrity and be built to the following guidelines:
  • width = 9”, length = 18”, thickness varies between 1/2” and 2”
  • contains 32 apertures minimum
  • apertures and fins must vary their configuration and performance
  • variation in the apertures and fins must occur incrementally in gradient fields
  • gradient fields must be derived from comparative data mapping in dunescapes
Go here for examples of these models.
    TRACKING

    Develop a document that tracks the operation of your instrument. This document must show superimposed shadows for at least five distinctly different lighting conditions at different times of day and year. It may be developed as a Rhino model with rendered shadows, as series of orthographic drawings with constructed shadows, or even a paraline drawing with constructed shadows. If you choose to make a Rhino model, 100% of the field must be documented. If you choose to make a drawing, 30% of the field must be documented.

    Go here for examples of these drawings.

    100225 - material analysis

    Example of the material analysis drawings.  Go here for a slideshow of more drawings and here for the handout that introduced this exercise.

    shachar

    100225 - clusters

    Examples of cluster development.  These were the components used to assemble landscapes, go here for the handout that introduced this exercise.

    steven

    sylvia

    sebastian

    rony

    shachar

    100224 - architectures of time

    Here are my notes from Sanford Kwinter's Architectures of Time:
     

     The Complex and the Singular

    The problem is dealing with time as something real. The forms of time in historical developments such as accounting practices, universal mechanical laws, and techniques for governing populations are abstract. That they measure and mange time…but nature is wild.

    According to traditional western theoretical models, precise measure seems possible only in space, not time. How can time as a “process of becoming-ever-different,” a producer of novelty, be subject to any sort of precise measure? How to reconcile the wild with the drive to deal with things that are knowable?

    Change tends to be accepted as a first principle, or not at all. “All change is change over time; no novelty appears without becoming…” (p. 5)

    Because the complexity of the world is beyond our capacity to grasp or measure, it is important to engage reality at the level of process.

    Cultural production (architecture included) has not done a good job of dealing with complex processes of becoming, instead it tends to revert to “postmodern” or “critical” practices.

    “Critique is always a critique (and therefore an elaboration) of what exists already.” (p. 6) In other words, it is re-presentational.

    Morphogenesis is the emergence and evolution of form. A “morphogenetic model of the possible in relation to the real…” (p. 6) works with two controlling operators: resemblance and limitation. Resemblance, the real matches an image of the possible. Limitation, not every possibility can or does become real. This means that reality is only a picture of possibility and possibility is merely a storehouse of pre-formed images. “This static view of things has dominated nearly all aspects of Western culture from the time of the Eleatics…” (p. 7) See Bergson, “The Possible and the Real.”

    On the other hand, it must be acknowledged that things are always eroding and being created, nothing “escapes the perpetual onslaught of differentiation according to which objects are continually becoming different from themselves, undergoing transformation.” (p. 8)

    There is a need for a different way of thinking about morphogenesis that works according to a scheme that links the actual with the virtual. The virtual is fully real, a free-floating difference yet to be combined with other differences. The process of actualization is in itself a process of becoming, of differentiation, and thus the actual does not resemble the virtual. “The relation of the virtual to the actual is therefore not one of resemblance but rather of difference, innovation, or creation…” (p. 8)

    Realization programmatically reproduces what was already there, actualization “invents through a continuous, positive, and dynamic process of transmission, differentiation, and evolution.” (p.9)

    Actualization operates in time and creates novelty, realization annihilates time.

    The philosophies of Nietzsche, Foucault, and Deleuze are all based on the principle of a “mobile ground of continuous production of the real as the basis of history and life…an irreducible living dynamism that drives existence from within.” (p. 11)

    Four issues must be addressed relative to the problem of the new:
    • redefine the traditional concept of the object
    • reintroduce and radicalize the theory of time
    • conceive of “movement” as a first principle
    • embed all three of these in a theory of the “event”
    Without forgetting that the complexity of the contemporary world necessitates a somewhat tactical process driven mode of engagement, there are two pathways for architecture to follow.

    The first deals with a revision of the concept of the object where architecture is an operator in institutional and social systems.

    The second deals with movement as a first principle. This points to complex, adaptive, dynamic systems in science…”patterns that are not static but appear only over-time…” , the need to consider context, and the concept of singularities (moments in systems when qualities, not just quantities undergo fundamental change) (p. 13)

    In the reconsideration of the object, where does architecture belong, how is its role defined? Not as it is defined by appearance, but by performance, its capacities to do work and create change.

    Foucault’s Discipline and Punish details “architecture’s” function as a hinge between the material realm and formations of power. Management or logistics may be the only “real” modern architectural object. (p. 18)

    In Foucault’s analysis of the Panopticon, the building itself is less important than the discussion of a set of relations that get enfolded in a social structure. It represents a technique rather than a building. “It is one of the central tasks of Foucault’s study to develop – to flesh out, as it were – the new microphysical continuum where architectural and human multiplicities mingle as if two modes of a single substance.” (p. 19)

    Moving away from the design of aesthetic objects and toward dynamic field of interaction opens new fields for architects and designers. Analysis of the object vs. the complex.

    Paradoxically, the clock annihilated time by reducing it to a thin, institutionalized, generalization.

    “From the moment a system is understood as evolving over time, what becomes important are the transformations it undergoes, and all the transformations in a system are the result of energy – or information­ – moving through it.” (p.23)

    Three general types of transformation:
    • importing information from outside the system
    • exporting information to the milieu in which the system resides
    • transporting information from heterogeneous one level to another within the system
    ‘Random’ differences vs. ‘singular’ differences: random differences “emerge and pass without leaving a trace.” (p. 24) Singular differences (like the steam engine) affect change by combining with other differences to “induce difference at another scale or level in the manifold.” (p. 26)

    100224 - emergence

    My notes from Steven Johnson's Emergence:

    Introduction

    Slime mold: oscillation between a single creature and a swarm.

    Morphogenesis: the development of ever more complex structures out of simple beginnings without any ‘master planner’ calling the shots. “Bottom-up behavior.”

    Simple agents follow simple rules to generate complex structures. They operate according local conditions, not a knowledge of the whole.

    Positive feedback loops encourage particular behaviors to take shape.

    Behaviors (or qualities) identified in emergent systems are only recognizable at the collective scale, not at the scale of an individual agent.

    Emergent systems are operative in varied fields. The systems are similar, but the medium in which they operate is different.

    Emergent systems get their intelligence from “masses of relatively stupid elements rather than a single, intelligent ‘executive branch.’”

    Emergence is movement from low-level rules to higher-level sophistication, however a system is not emergent until it displays some type of macro-behavior.

    Adaptive emergent systems adjust themselves until a productive or useful macro-behavior is produced. Emergence without adaptation is like snowflakes, beautiful but useless.

    Tuning the system. Given a stated goal, how do you make an emergent system adaptive?

    Control Artist

    Cannot predict results just by looking at the rules. The system must live before it can be understood.

    Our tendency is to think of systems such as flocking birds as having a leader rather than a set of the simple rules that each bird follows.

    Emergent systems obey rules defined in advance; the rules govern micro-motives. Macro-behaviors are controlled indirectly. “All you do is set up the conditions you think will make that behavior possible. Then you press play and see what happens.”

    New form of programming, software that is “grown” rather than “engineered.” Programming that is ‘more like baking a cake’ than ‘engineering a machine.’

    In the fitness landscape, there are local maximums. Finding global maximums is a process of trial and error.

    ‘Fitness’ implies that there is a gauge for success.

    The rules of the game and the world of the game can be explored simultaneously. As a society we are becoming more tolerant of being somewhat out of control. We are more tolerant of the phase where the rules don’t all make sense.

    Emergent systems are controlled “from the margins,” therefore the unexpected is possible.

    “Rules give games their structure, and without that structure, there’s no game: every move is a checkmate, and every toss of the dice lands you on Park Place.”

    A game where anything can happen is, by definition, not a game.

    Emphasizing rules may seem antithetical to an open-ended, exploratory system, but this is not the case. The capacity for growth and experimentation relies on low-level rules.

    “Emergent behaviors, like games, are all about living within the boundaries defined by rules, but also using that space to create something greater than the sum of its parts.”

    In game design where a player has oblique control, it is up to the game designer to determine how far to the margin the player’s control will be located. Too much or too little control results in a poor game.

    Designers have a feel for the middle ground between too much control and too little.

    100218 - gradient

    This was a part of my assignment when I had Representation 3 with Gil Akos. It is made out of using three different contour lines, to study a 3D surface that I've created.

    100218 - time

    Real time is more truly an engine, however, than a procession of images – it is expressed only in the concrete, plastic medium of duration. Time always expresses itself by producing, or more precisely, by drawing matter into a process of becoming-ever-different, and to the product of this becoming-ever-different – to this inbuilt wildness – we have given the name novelty

    - Sanford Kwinter
    Architectures of Time, 2001

    Architecture is durational at multiple levels – both its actualization (the design process) and its resulting presence or situation in the world draw matter into processes ‘of becoming-ever-different…’ You will now begin dealing with issues of time at the level of actualization by introducing gradients to the wire installation, and at the level of presence by developing animations piggybacking the writing workshop exercise.

    Etienne-Jules Marey,
    chronophotograph


    Bernard Cache,
    surface study
    GRADIENT

    A gradient is a type of becoming.  It does not fix a single condition, but accepts change as part of its nature.  It blends between different states or conditions – i.e. grayscale gradient, black blending into white; temperature gradient, cold blending into hot; and density gradient, solid blending into porous.  Across a gradient, there are many nearly imperceptible state changes that create smooth transformations (see examples above).

    Build gradients into the wire installation.  Some gradients will form naturally as the wire stems from variations in the landscape.  Other gradients must be introduced manually by incrementally adjusting the amount of slack in segments of wire bridging between points on the landscape, and by introducing incrementally transforming wire-to-wire connections.  Wire-to-wire connections may be made by crimping or soldering.  Their installation must be procedurally defined.

    ANIMATION

    Using still frames generated in the writing workshop exercise and animated frames generated in rhino sunlight studies, create a short movie documenting at least two conditions of the landscape that transform in time.  Consider how shifting scales and lighting conditions create different landscape conditions.  Incorporate neologisms into the movie.  The movie should be assembled in Photoshop using frame animation.

    100217 - sun path geometry

    Here is a Rhino model of sun paths for New York City's latitude for summer solstice, equinox, and winter solstice.  You'll notice that each hour is divided into three segments of 20 mins. each.  So bring this into your landscape model, scale as necessary and render a sequence for each of the three days by placing a directional light on each point aimed toward the center of the dome. 


    This will be more labor intensive then using Rhino's sun animation tools, but will yield accurate results.  Hopefully it will give you a better idea of sun path geometry.  Let me know if you find any problems with the model.

    100217 - Something to share

    This is a short animation that I've made few years ago with still frames and background music. It's not directly related to the studio, but I thought it will nice to share this since you will be making a short animation for your sun-study.

    100211 - analysis

    On a continuum without values, everything can dissolve into inconsistency; however if we negotiate its inflections, we can ensure continuities between the most disparate registers, between the most distant eras. 

    - Bernard Cache
    Earth Moves, The Furnishing of Territories, 1995

    The parameters we have used to evaluate the landscape so far (size, density and overall organization) have been general – they have not qualified particularities. Now (expanding on knowledge gained in making cluster diagrams) you will begin analyzing your landscape under more specific environmental and material parameters. The aim of this analysis is to unpack the unique nature of your landscape and articulate how it is different from any other in the studio.

    Conceptual shadow drawing
    Furuse House, Takefumi Aida


    Before beginning the analysis, the landscape must be complete in both physical and digital forms. The physical model must be spray-painted with Krylon indoor/outdoor primer in All-Purpose Gray. This is available at Janovic and other paint/art stores around the city. Call ahead to find a store that has it in stock.

    SUNLIGHT ANALYSIS

    Study sun path geometries in the Environmental Control Systems handout. Then use Rhino’s ‘One-Day Sun Study’ tool to track sunlight moving across the landscape. Locate the landscape at 40 degrees north latitude, the approximate latitude of New York City. Orient it to north and to gravity. Render shadows in top view for every 20 minutes of each of the following days:
    • winter solstice (shortest day)
    • summer solstice (longest day
    • equinox (equal day and night)
    Create a vertical filmstrip of small (approx. 2” high) still images for each of the three days. Crop images to the extents of the landscape.

    TERRAIN ANALYSIS


    Develop a three-dimensional analytical ‘drawing’ in the wood landscape with piano wire threaded through its pre-drilled holes (do not drill new holes). Install wire procedurally in response to geometries at a range of scales (from molding profile to the landscape as a whole). Explore potentials for the wire to:
    • hug the surface of the landscape
    • reside in the thickness of the landscape
    • project away from the landscape
    • thread multiples through single holes
    • interact (support, spread, weave, knot) with each other
    • utilize different gauges
    Wire drawings will reveal latent geometries of the landscape and build on them.

    Go here for examples of the final wired landscapes.

    Reading:

    Sanford Kwinter, Architectures of Time. [excerpts]
    Steven Johnson, Emergence. [excerpts]
    Fuller Moore, Environmental Control Systems. [excerpts]

    100204 - landscape

    What remains overlooked…is the fact that maps are highly artificial and fallible constructions, virtual abstractions that possess great force in terms of how people see and act.  One of the reasons for this oversight derives form a prevalent tendency to view maps in terms of what they represent rather than what they do.

    Speculative techniques of mapping may generate new practices of creativity, practices that are expressed not in the invention of novel form but in the productive reformulation of what is already given.   


    - James Corner
    The Agency of Mapping: Speculation, Critique, & Invention, 1999

    There are internal and external motivators that must work together in the assembly of the landscape.  The internal motivator is the combinatorial logic of units and clusters (geometry guides connections between parts).  The external motivators are the constructional requirements outlined below (dimensions, density, solidity) and organizational qualities discovered in the dunescape maps.  This is where maps become instrumental.  Identify an organizational quality in one or both dunescape maps; use it as an organizational criterion for the landscape.

    decalcomania painting, 
     
    Soft Office,
    Lars Spuybroek / NOX

    MATERIAL ASSEMBLY

    The landscape will be considered a process of assembly where the behavior of a material gives rise to form.  The images above both show results of processes where the behavior of a material (wet paint in the decalcomania painting; rubber tubes and wet lacquer in the Soft Office) produces form as it is worked.  The combinatorial potentials created by complex geometries in your units and clusters are also a type of material.  This material will produce form as it is worked. 

    Assemble your most successful cluster into a landscape by knitting individually assembled clusters together or by continuing an accumulation of units onto a cluster.  In either case, combinatorial rules must be clearly articulated and they must produce a legible pattern in the landscape. 

    The landscape will be 24” long x 24” wide x approx. 8” deep.  X and Y dimensions must be strictly adhered to.  The Z dimension is flexible, some zones may be deep and some may be shallow.  All connections must be strong.  The landscape must be dense, solid, durable and easy to transport.

    Go here for examples of the final landscape models.

    MATERIAL ANALYSIS


    Cluster drawings will now evolve into diagrams that unpack how the unit, cluster, and landscape are assembled.  Indicate how interfacing units form clusters (i.e. how units attach, rotate, change size, etc. within the cluster) and how cutting and reattaching sections of molding profiles form units. Indicate where and how clusters interface with each other to form the landscape.  Develop notations using line-weight, line-type, tone, nodes, vectors, cutting planes, angle indicators, etc. to communicate this information.

    Go here for examples of the final material analysis drawings.

    100204 - kirsten's clusters & neologisms

    Neologisms were created and inspired from the original dunescape maps and were then used in the construction process of units and clusters.

    Biastempest: a particular tendency due to an active violent tumult
    Slipdispostion: the predominant or prevailing tendency and final settlement of matter
    Apexclot: a compact group of peaks

    Clusters assembled
    3 Clusters of 1-1-1-1-1
    Cluster 1-2-3-4-5
    Cluster 5-5-5-5-5

    100204 - kyu's clusters





    100202 - rhizome vs. tree

    Here are my notes on Gilles Deleuze's essay "Rhizome vs. Tree" from The Deleuze Reader:

    The first figure of the book:  The Root Book (the classical book) – The book describes the world, it is not thought to be of the world.  This is based on the law of reflection where one becomes two, a binary (either/or) logic - a vertical, hierarchical, dualistic, dichotomous way of looking at the world.

    Biunivocal relationships (the pivotal taproot) ascribe one-to-one relationships between sets, i.e. words can only have one meaning and there can be no synonyms.  Like binary logics, this way of thinking cannot provide an understanding of multiplicities.

    --

    The second figure of the book:  The Fascicular Root – A fascicle is literally a bundle, and the fascicular book is more complex, cut-up, or folded than the root book. 

    It may break down linearity in the meaning of a word, but insist on unity of knowledge (Joyce).  It may break down linearity of knowledge, but still construct a circular totality (Nietzsche).

    The world has become chaos, but the book remains an image of the world.

    --

    The third figure of the book:  The Rhizome – A rhizome is a network, it is different than the tree and the fascicule because it has no beginning and no end.  Any point in the rhizome can be connected to any other.  It is an open system.  It cannot be ‘finished.’ 

    Rather than attempting to add another transcendent dimension, it seeks to operate in the dimensions one already has available (n-1).      
     
    The aim of the rhizome book is not to explicate a Truth, but to produce a knowledge effect in the reader.  It does not ask “Is it true?” but “Does it work?”

    A model of this book is Deleuze and Guattari’s 1000 Plateaus.  While a book of chapters is structured of beginning and end, a plateau is a multiplicity connected to other multiplicities.

    --

    Principles of connection and heterogeneity:  A rhizome is different from a tree because it does not seek to fix an order like Chomsky’s linguistic theory. 

    Rather than fix a specific type of order, a rhizome offers a way of thinking about how connections might catalyze principles of order. 

    It is very different to say there is one order valued above all other than to understand the potential of “machinic assemblages” to produce multiple orders.  “There is no mother tongue, only a power takeover by a dominant language within a political multiplicity.” (p. 30)

    --

    Principles of multiplicity:  A multiplicity is an organization belonging to the many.  “A multiplicity has neither subject nor object, only determinations, magnitudes, and dimensions that cannot increase without the multiplicity changing in nature.”  (p.30)

    Multiplicities are flat; they are not overcoded.  In other words, they do not require a semiotic or value-producing overlay and thus reside in a plane of consistency.  The point releases into a line; into multiplicity.

    Multiplicities are defined by their outside, according to how they change in nature and connect to other multiplicities.  They are defined by relationship.   

    --

    Principle of asignifying rupture:  “A rhizome may be broken, shattered at a given spot, but it will start up again on one of its old lines, or on new lines.” (p. 32)

    A rhizome has organization built into it, but it also has also has the potential to come apart and then be reorganized.  Therefore, one cannot posit a dualism or value judgment (even in the form of good and bad).

    “Good and bad are only the products of an active and temporary selection, which must be renewed.” (p.32)

    The orchid and wasp form a rhizome; they are heterogeneous elements that operate in a single system.  The becoming-wasp of the orchid and the becoming-orchid of the wasp brings about a deterritorialization of one term and a reterritorialization of the other. 

    This interaction between heterogeneous elements implies that evolutionary models would need to abandon the tree model and adopt a more rhizomatic model that deals with complex inter-species interactions.  

    “The same applies to the book and the world: contrary to deeply rooted belief, the book is not an image of the world.  It forms a rhizome with the world.”  (p. 33) Plants do this too; they always have a way of interacting with heterogeneous elements (animals, wind, etc.)

    --

    Principle of cartography and decalcomania:  Tree logic is tracing logic is reproduction is a way of exploring way is already there.

    A rhizome maps rather than traces. 

    Maps describe relationships and organizations.  They privilege specific types of information (space, time, value, emotion, connectivity, etc.).  They differentiate types and degrees of information through notation.  A map is a mode of analysis; it constructs the unconscious, what is not yet understood.

    A map has multiple entryways.  “A map has to do with performance whereas the tracing has to do with alleged ‘competence…’” (p.35)

    A map connects across regimes. 

    “In contrast to centered (even polycentric) systems with hierarchical modes of communication and preestablished paths, the rhizome is an acentered, nonhierarchical, nonsignifying system without a General and without an organizing memory or central automation…” (p. 36)

    100202 - sandstone & granite

    Here are my notes on Manuel Delanda's "Sandstone and Granite" chapter from 1000 Years of Nonlinear History:

    Meshworks (rhizomes) and hierarchies (trees).

    Engineering diagrams (similar to Deleuze and Guattari’s abstract machines) are structure-generating processes.

    Is it possible to go beyond metaphor and use an engineering diagram to think about the generation of both geologic and cultural formations?

    Rivers act as hydraulic computers to sort pebbles of different sizes.  They carry and deposit pebbles of different sizes according to the strength of the flow.  For a given period, pebbles of a relatively consistent size are deposited on the ocean floor.  Then another process fuses individual pebbles into a relatively permanent structure.

    This two-stage process (double articulation) can be found operating in other (i.e. cultural, biological) regimes.

    The formation of strata occurs in the evolution of species.  Genetic material accumulates (material deposited) until a subpopulation becomes isolated and it cannot reproduce outside its group.  This leads to crystallization.

    Cultural strata form in a similar way.  People are sorted according to what they can do or what they have.  Then these categories are crystallized by religion or law. 

    This process of homogenization and consolidation to form hierarchies operates across heterogeneous regimes. 

    There is not as straightforward an engineering diagram for meshworks as hierarchies.  The simplest type of meshwork is the autocatalytic loop which is self-stimulating and self-maintaining.

    They are dynamic systems with stable states (attractors) and they grow by drift.  A two-node system (two chemical reactions that catalyze each other) can grow through the insertion of a third reaction using the byproducts of those already in place.  This is not a planned growth.  This growth may be constrained by external factors (supplies of raw materials) but it is not designed to meet any requirements of the external environment.

    Deleuze and Guattari propose a diagram of meshworks with three parts:
    • interconnection of diverse overlapping elements
    • intercalary (something inserted between) agents, a special class of operators that effects these elements
    • there must emerge some stable pattern of behavior
    As opposed to sandstone which forms according to the hierarchy-producing diagram, granite forms according to the meshwork-producing diagram.  Granite is produced when magma cools:
    • heterogeneous crystals interlock during cooling
    • densifications, intensifications, reinforcements, within the material bring about local articulations
    • chemical reactions within the magma bring about stable states
    Granite is a self-consistent aggregate.

    Gene pool of a species = stratified structure (homogenous).
    Ecosystem = self-consistent aggregate (heterogeneous).

    Small-town markets = self-consistent aggregate.  Markets are meetings and exchanges of heterogeneous needs.
    • markets come about through an interlocking of producers and consumers
    • money is an intercalary agent
    • markets seem to produce a stable state in the cyclical variation of prices
    These diagrams producing hierarchies and meshworks are relatively simple and would need to evolve and become more complex to more fully describe the functioning of biological or cultural systems.  Furthermore, in reality one must deal with combinations of hierarchies and meshworks.

    Alternatives to causal thinking (simple arrows going from cause to effect):
    • negative feedback (stabilizing or deviation counteracting) – i.e. thermostat, sensor triggers heat production which effects sensor, forms a closed loop in which temperature is held constant.
    • positive feedback (destabilizing or deviation amplyfing) – i.e. a self-accelerating explosion, explosion generates heat which accelerates the explosion, temperature goes out of control.
     It is important not to conclude that meshworks are intrinsically better than hierarchies.

    100202 - diagrams matter

    Here are my notes from Stan Allen's essay "Diagrams Matter."

    A diagram’s primary function is to think about organization.

    Organization speaks about relationship.

    Relationships are not about objects, but interface.

    Diagrams are therefore abstract.

    Because they speak about relationships in the abstract, diagrams are transportable between heterogeneous regimes.

    In an architectural context, organizations can help distribute program in space.

    “A diagram is therefore not a thing in itself, but a description of potential relationships among elements; not only an abstract model of the way things behave in the world, but a map of possible worlds.”

    Architecture can be measured by performative effects (what is does) more than its material durability.

    Actualizing the virtual: innovating (imagination) vs. representation (imitation)

    There are many techniques of actualization:
    - traditional: projection, calculation, etc.
    - contemporary: film performance, computer simulation

    Architects move between heterogeneous media, diagrams can facilitate this movement.

    Diagrams are open to information from outside the discipline, i.e. interdisciplinary research.

    Diagrams point outward, they suggest potential relationships.

    The graphics of a diagram are crucial; nothing can enter architecture until it is in graphic form.

    Translation (general, personal) vs. transposition (part-to-part relationships of matter, always leaves gaps).

    Diagrams function through matter-matter relationships, not through interpretation.

    The shift from translation to transposition does not erase meaning, but collapses interpretation.

    A diagrammatic way of thinking is less concerned with the production of meaning than the immediacy and pleasure of the literal.