## Find a copy in the library

Finding libraries that hold this item...

## Details

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. |

## Reviews

*User-contributed reviews*

Add a review and share your thoughts with other readers.
Be the first.

Add a review and share your thoughts with other readers.
Be the first.

## Tags

Add tags for "Structure in nature is a strategy for design".
Be the first.

## Similar Items

### Related Subjects:(11)

- Architectural design.
- Nature (Aesthetics)
- Form (Aesthetics)
- Forme (Esthétique)
- Nature (Esthétique)
- Natur.
- Tragwerk.
- Design architectural.
- Nature (esthétique)
- Forme (esthétique)
- Architectural design -- Implications of structure of natural objects

### User lists with this item (1)

- Geometry - Polyhedra(5 items)
by JeremyVaughn updated 2012-12-23