Michael Leyton Livres

This book aims to develop a generative theory of shape grounded in two fundamental properties of intelligence: (1) maximization of transfer, where new structures are described as transfers of existing ones, and (2) maximization of recoverability, allowing for maximal inferentiability from data sets. We will demonstrate that if generativity meets these criteria, it possesses a robust mathematical structure and significant applicability in computational fields. The focus on intelligence is crucial for generating complex shapes, as many existing theories render this process unintelligible. Our approach seeks to transform complexity into understandability, anchored in the principles of maximization of transfer and recoverability. We will present a mathematical theory of understandability, formulating these principles group-theoretically. Specifically, maximization of transfer will be expressed through wreath products, which involve an upper control group transferring a lower fiber group onto copies of itself. Meanwhile, maximization of recoverability is achieved when the control group exhibits symmetry-breaking concerning the fiber group.

How do buildings store information and experience in their shape and form? Michael Leyton has attracted considerable attention with his interpretation of geometrical form as a medium for the storage of information and memory. In this publication he draws specific conclusions for the field of architecture and construction, attaching fundamental importance to the complex relationship between symmetry and asymmetry. Wie können Gebäudeformen Erfahrungen und Inhalte speichern? Leyton hat eine viel beachtete neue Theorie der geometrischen Form entwickelt. Er interpretiertdie geometrische Form – im Gegensatz zur gesamten Tradition – als Informations- und Gedächtnisträger. In vorliegender Darstellung zieht er die spezifischen Konsequenzen davon für den Bereich der Architektur und des Bauens.

The book introduces a groundbreaking theory that connects geometry with memory storage, positing that artworks serve as maximal memory stores. It explores how Leyton's laws of memory storage shape the compositional structure of paintings and influence their emotional expression. Through detailed analyses of renowned artists like Picasso and Cezanne, the text illustrates how these laws enable a systematic mapping of both the visual and emotional elements within art, offering a unique perspective on the intersection of geometry and artistic expression.

Leyton's Process Grammar explores new concepts in biological morphology and manufacturing design, offering innovative causal explanations for morphological transitions. It unifies biological morphology with vehicle design and introduces over 30 new CAD operations. The book highlights the recovery of design intents, crucial for interoperability in manufacturing systems.