Master Bibliography

Sharma, A., Czégel, D., Lachmann, M., Kempes, C. P., Walker, S. I., & Cronin, L.

Assembly theory provides a quantitative framework for understanding how complex objects emerge through selection. It introduces the concept of assembly index - the minimum number of steps required to assemble an object from its constituent parts.

Odum, Howard T. & Odum, Elisabeth C.

Introduces EMERGY (embodied energy) accounting as a framework for analyzing energy transformations across ecological, economic, and social systems. Bridges thermodynamics with systems ecology.

Georgescu-Roegen, Nicholas

Foundational work in bioeconomics connecting thermodynamic entropy with economic processes. Argues that economic systems must account for material degradation and energy quality.

Fuller, R. Buckminster

Fuller's magnum opus introducing synergetics - the geometry of thinking. Explores how nature uses triangulation, tensegrity, and geodesic principles to create maximum efficiency structures.

Motro, René

Comprehensive treatment of tensegrity structures - systems in which compression members are isolated and suspended within a network of tension members. Applications in architecture, biology, and engineering.

Fuller, R. Buckminster & Sadao, Shoji

Introduction to the octet truss - Fuller's space-filling framework based on alternating tetrahedra and octahedra. The most efficient space frame structure.

Kenner, Hugh

Practical guide to calculating and constructing geodesic dome structures. Explains the mathematics behind icosahedral subdivision and spherical triangulation.

Walker, S. I., Cronin, L., & Lehman, N.

Explores how assembly theory provides insights into the origin of life and biological complexity. Discusses assembly pathways and selection constraints in chemical and biological systems.

Skelton, R. E. & de Oliveira, M. C.

Mathematical foundations of tensegrity structures with applications in robotics, aerospace, and biomechanics. Includes control theory for deployable tensegrity systems.

Chilton, J. C.

Comprehensive overview of space frame structures including octet trusses, double-layer grids, and reciprocal frames. Design principles and structural analysis.

Krausse, Joachim & Lichtenstein, Claude

Visual documentation of Fuller's design science revolution. Comprehensive catalog of his inventions, structures, and philosophical framework.

Marshall, S. M., Murray, A. R. G., & Cronin, L.

Introduces assembly index as a quantitative measure of molecular complexity. Demonstrates its application in detecting biosignatures and understanding chemical evolution.

Chen, W. F. & Duan, L.

Comprehensive treatment of bridge design principles including suspension, cable-stayed, arch, and truss bridges. Covers force distribution and structural optimization.

Fuller, R. Buckminster

Fuller's autobiographical account of his design science philosophy. Traces the development of synergetics and its applications to global problem-solving.

Mac Lane, Saunders

The definitive founding text of Category Theory. Introduces functors, natural transformations, adjunctions, and limits. Essential scaffolding for the IVM–CT correspondence hypotheses.

Lawvere, F. William & Schanuel, Stephen H.

Accessible introduction to category theory emphasising sets, maps, and composition. Directly relevant to understanding how Set Theory is subsumed by CT.

Dancstep, Paul

An animated 10-minute public introduction to Category Theory by educational designer Paul Dancstep. The anchor video for understanding the CT pillar of the IVM-CT bridge developed in this handbook.

Dancstep, Paul (guest video for 3Blue1Brown)

A 52-minute masterwork linking Sol LeWitt's '122 Incomplete Open Cubes' to group theory and Burnside's Lemma. Demonstrates categorical thinking (equivalence classes = orbits) arising from geometric enumeration — directly parallel to Fuller's vertex-edge-face classifications.

Fong, Brendan & Spivak, David I.

A landmark applied CT textbook from Topos Institute founders. Wiring diagrams, databases, and open systems — all relational paradigms structurally analogous to IVM's isotropic vector field.

Garrels, Gary (ed.)

Comprehensive retrospective including '122 Incomplete Open Cubes' (1974). LeWitt's systematic enumeration of structural possibilities is a pre-formal exercise in CT's classification up to isomorphism.

Mac Lane, Saunders & Moerdijk, Ieke

Foundational topos theory text. Establishes sheaves as the correct language for spatially distributed information — the IVM's space-filling property makes it a natural sheaf base for geometric information.