As in fact what today goes under the name of parametricism often derives from, or simply restates, Deleuze's and Cache's definitions of the Objectile - Mario Carpo

Projectiles is the number six of the Architectural Association's series: Architecture words. This book is a collection of essays that span many decades from a single author: Bernard Cache. 
The writings expose an avid mind, a devoted person with incredible academic service and a true polymath trying to articulate a coherent historical continuum of developments; a continuum that rarely mentions any significant body of theoretical work from any architect (with the exception of Vitruvius's De Architectura) yet manages to thread together many of the great philosophers (Socrates, Plato, Parmenides, Cleisthenes and Leibniz are drawn frequently) and plethora of mathematicians to the current use of parametric software in architectural design (Desargues, Hilbert, Descartes, Euler, Poincaré, Lobachevsky and Fourier, to name a few)  

But above all, because what counts is finding another relationship to history that allows ancient texts to function in relation to current conditions of architectural output in order to elaborate the architectural theory we so desperately need - Bernard Cache - Geometries of Phantasma

'The possible cannot become real without something of the virtual becoming actual' - Bernard Cache

In Non-Standard , Plea for Euclid, Solidarity without Proximity and specially in Geometries of Phantasma, Cache is not timid in using historical ideas to inform current conversations, for instance, Plato's eidos (the idea in morphology that every object is imperfect in its materialization) is frequently used to inform contemporary conversations on form, parametric software and cybernetics.
In this respect the chaos (complex form-generation) is entirely determinist, but since we don't comprehend the algorithmic determinants, the forms are imprinted with a kind of aura conferred by their alleged randomness - Bernard Cache
But where the biggest chunk of interest lies with Cache is parametricism.The endevour to describe parametric design, or as what Cache refers as 'associative design'is revealed early on in this publication through the idea of 'Objectile'. The word Objectile referes to the work Cache carried with Gilles Deleuze and Patrick Beaucé on the non-standard,which can be roughly understood as 'repeatable variations on a theme'. Broadly understood, the non-standard is the philosopical and practical rejection of mass production in an post-industrial society and carries the ability to create a massive family of objects that are interalated in a causal chain of relationships.Series: The object as a point on a continuum.
For example all the elements that comprise a building can now be interconnected whereas a change in one, however small, would precipitate a chain of events affecting all of them. Parametric software opens the possibility to create myriad of variations and custom detailing at seemingly no extra expense. What Cache warns in his writings is not about the new found power of designers in creating myriad of objects but what all these objects might contribute to our built environment and urban fabric. Cache seems to be against the idea of luxurious one-offs sculptural pursuits with no connection to context as well as being against all the misinterprations that the idea of the Objectile and the philosophy of Gilles Deleuze have derived (Starting with the now famous document by Greg Lynn and Peter Eisenman: Architectural Design, Folding in Architecture, published in 1993)

What we are aiming at is a means of integrating the different registers of invariants as an alternative to the solution promoted by the current media consensus: Spatial hernias in a few privileged locations in the urban centres and unchecked chaos / gridification in the suburbs - Bernard Cache

Cache's thorough understanding of philosophy and mathematics genealogy put him in the favorable position of being able to retaliate against 'non-Euclidean architecture' with the final conclusion that in fact, Euclidean geometry is actually the most expedient and accurate to describe the material necessities of architecture (understood as a description of forms in space) and furthermore, stating that Euclidean geometry is ideal to incarnate 'complex topologies' using the computer as an ally.

We believe - and have confirmed through our work in computer-aided design and manufacturing - that we wont invent new architectural space without going deeper into Euclidean geometry - Bernard Cache

What should only be an architecture of exception is now proposed - and enthusiastically embraced by young students as the norm - Bernard Cache

Despite the broad introduction to many advanced topics that this book pressuposes, Cache has even enough steam for politics with his essay: Obama versus irresponsability, in which he espouses a social critique of the geo-political situation in the twenty first century where a super privileged political elite, the so called one percenters, captured enough of society to create a super class that leaves all others without upward mobility and ironically, despite all of social media, a misinformed and mislead populace.

It is the very particular fashion of digital technology that explains why we are essentially oriented towards the emirs of the Middle East and other breeds of millionaire than towards social programmes - Bernard Cache - Obama versus irresponsability

Double standards, impunity and irresponsability are thus diffused through the very highest levels of the French state - Bernard Cache - Obama versus irresponsability



ISBN 978-1-902902-88-3