<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Mathematical Derivation | Genesis Lab</title><link>https://genesis-lab.dev/tag/mathematical-derivation/</link><atom:link href="https://genesis-lab.dev/tag/mathematical-derivation/index.xml" rel="self" type="application/rss+xml"/><description>Mathematical Derivation</description><generator>Wowchemy (https://wowchemy.com)</generator><language>en-us</language><image><url>https://genesis-lab.dev/images/icon_hu6bbb32d90780e075990090eee01e8e53_233734_512x512_fill_lanczos_center_2.png</url><title>Mathematical Derivation</title><link>https://genesis-lab.dev/tag/mathematical-derivation/</link></image><item><title>Generative Design in Architecture; From Mathematical Optimization to Grammatical Customization</title><link>https://genesis-lab.dev/outputs/generative-design-in-architecture/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><guid>https://genesis-lab.dev/outputs/generative-design-in-architecture/</guid><description>&lt;!--StartFragment-->
&lt;p>&lt;font size="3"> &lt;strong>Authors&lt;/strong>: Pirouz Nourian, Shervin Azadi, Robin Oval&lt;/font>
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&lt;p>&lt;strong>Abstract:&lt;/strong>
This chapter provides a methodological overview of generative design in architecture, especially
highlighting the commonalities between three separate lineages of generative approaches in architectural
design, namely the mathematical optimization methods for topology optimization and shape
optimization, generative grammars (shape grammars and graph grammars), and [agent-based] design
games. A comprehensive definition of generative design is provided as an umbrella term referring
to the mathematical, grammatical, or gamified methodologies for systematic synthesis, i.e.
derivation, itemization, or exploration of configurations. Among other points, it is shown that generative
design methods are not necessarily meant to automate design; but rather provide structured
mechanisms to facilitate participatory design or creative mass customization. Effectively, the chapter
provides the theoretical minimum for understanding generative design as a paradigm in computational
design; demystifies the term generative design as a technological hype; shows a precis of
the history of the generative approaches in architectural design; provides a minimalist methodological
framework summarising lessons from the three lineages of generative design; and deepens the
technological discourse on generative design methods by reflecting on the topological constructs and
techniques required for devising generative systems or design machines, including those equipped
with Artificial Intelligence. Moreover, the notions of discrete design and design for discrete assembly
are discussed as precursors to the core concept of design as decision-making in generative
design, thus hinting to avenues of future research in manufacturing-informed combinatorial masscustomization
and discrete architecture in tandem with generative design methods.&lt;/p>
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