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Structure in nature is a strategy for design

Author: Peter Pearce
Publisher: Cambridge : MIT Press, ©1978.
Edition/Format:   Book : EnglishView all editions and formats
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Document Type: Book
All Authors / Contributors: Peter Pearce
ISBN: 0262160641 9780262160643
OCLC Number: 3542688
Description: xvii, 245 pages : illustrations ; 29 cm
Contents: Introduction : Systems for diversity ; Structure in nature ; Form as a diagram of forces ; An integrative morphology --
I. Structure in nature and design : 1. Geometry as structure : The platonic solids, triangulation and geometric stability ; Triangulation and closest packing ; Partitioning and tessellations, networks and dual networks ; Filling the voids: the Kelvin figure ; Many-celled soap bubble arrays ; Simple bubble arrays, the law of closest packing and triangulation ; Closest packed unequal spheres, polyhedra and polyhedral domains ; The soap bubble array as archetype --
2. Closest packing in nature : Hexagons, hierarchies, and scale independence ; A catalog of forms --
3. Some principles of built structures : Triangulation of built forms ; The loaded frames ; Space frames ; Local instability in planar and domical space frames --
4. Ordering principles and geometry : Tessellations of the plane ; Polyhedra and their duals ; Compound, quasiregular, and stellated polyhedra ; Convex polyhedra composed of regular polygons --
5. Symmetry and space filling : Symmetry classes ; Lattices and unit cells ; Space filling polyhedra ; Regular and semiregular polyhedra as multiple space fillers ; Space filling systems derived from the rhombic dodecahedron ; Connected networks ; The intelligibility of three-dimensional space --
II. A theory of spatial order : 6. Toward a morphological system : Morphological units: mathematics concretely embodied ; Spheres as morphological units ; Polyhedra as morphological units ; Morphological networks ; Abstraction and built form: the morphological node and branches --
7. Principles of order and the universal node system : Classifying the finite polyhedra with the integrative morphological system ; Classifying space filling systems with the integrative morphological system ; Triangulated structures derived from the universal network --
8. Saddle polyhedra, the universal network; the cube revisited : Minimal surfaces, mean curvature ; Saddle surfaces and the interstitial domains ; Saddle polyhedra and connected networks ; Describing the universal network with saddle polyhedra ; Regular and semiregular saddle polyhedra ; Saddle polyhedra: an inventory of possibilities ; Diverse networks share common point lattices ; The universal network as interactive process --
9. Continuous surfaces and labyrinths : Continuous surfaces from space filling saddle polyhedra ; Labyrinths derived from plane faced polyhedra. III. A theory of structure : 10. Continuous surfaces as triangulated networks : Structural characteristics of triangulated networks ; Periodic triangulated networks derived from continuous surfaces --
11. Infinite spatial networks from equilateral triangles : Periodic systems of equilateral triangles --
12. Closest packed cells and the triangulation of space : Triangulated structures derived from closest packed cellular systems ; Triangulated labyrinth derived from pentagonal dodecahedra and hexakaidecahedra ; Triangulated packings of rhombic triacontahedra and starred dodecahedra ; Alternative modes of a comprehensive system ; Dodecahedral/hexakaidecahedral packings and the universal node system ; Triangulated structures derived from truncations of the dodecahedral/hexakaidecahedral packing ; Periodic structures composed of distorted icosahedra ; Other icosahedron-related structures ; Triangulation of the Kelvin minimal tetrakaidecahedron ; Diversity and order prevailing in the triangulation of space --
IIII. The reduction to practice : 13. Minimum inventory / maximum diversity building systems : The min-a-max building system ; The universal node building system ; Reasonable expectations --
14. Saddle polyhedra and continuous surfaces as environmental structures : Saddle surfaces and planar space structures ; Continuous surfaces and their triangulated networks as building forms ; Curved space continuous surfaces as recreational environments ; The realm of possibility.
Responsibility: Peter Pearce.

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