02569cam a2200361 a 4500001000700000003000800007005001700015008004100032010001700073015001400090020002200104020001500126035001900141035001100160040003700171082002000208100004200228245009400270260008100364300003300445490005100478500002000529504003000549505125000579650002601829650001801855650002701873653004401900700002801944830005601972856008902028856009002117162550BD-DhUL20161208133707.0811022s1983 enka b 001 0 eng d a 81018160  aGB83-3222 a0521297842 (pbk.) a0521230438 a(OCoLC)7948055 a162550 aLCbengcLCdABN:1dANLdBD-DhUL a516.002472bBAI1 aBaglivo, Jenny A.q(Jenny Antoinette)10aIncidence and symmetry in design and architecture /cJenny A. Baglivo and Jack E. Graver. aCambridge [Cambridgeshire] ;aNew York :bCambridge University Press,c1983. axi, 306 p. :bill. ;c26 cm.1 aCambridge urban and architectural studies ;v7 aIncludes index. aBibliography: p. 300-301.00aMachine derived contents note: Forward; Preface; Part I. Incidence: Introduction; Section 1. Incidence and Graph Theory: 1. Topological transformations; 2. Basic graph theory; 3. Directed graphs; 4. Traversability; 5. Distance; Section II. Incidence in the Plane: 6. Maps; 7. Planar graphs; 8. Euler's formula; 9. Polyhedra; Section III. Further Applications of Graph Theory: 10. Bracing structures; 11. Optimal route design; 12. Mean distance; 13. Triangulations and organization graphs; Section IV. Topology of Surfaces: 14. Surfaces; 15. Maps on surfaces; 16. Tesselations of the plane; 17. Compact surfaces; Part II. Symmetry: Introduction; Section V. Symmetry and Group Theory: 18. Planar isometries; 19. Basic group theory; 20. Reflections on the plane; 21. The isometry group of the plane; Section VI. Symmetry in the Plane: 22. Discrete groups; 23. The circular groups; 24. The frieze groups; 25. The wallpaper groups; Section VII. Symmetry in Space: 26. Space isometries; 27. Discrete space groups; 28. The layer groups; 29. the rod groups; Section VIII. Symmetry and Enumeration: 30. A combinational approach to symmetry; 31. Graph symmetry; 32. Enumeration; 33. Fundamental architectural arrangements revisited; Bibliography; Indices. 0aArchitectural design. 0aGraph theory. 0aTransformation groups. aArchitectural designaGeometric aspects1 aGraver, Jack E.,d1935- 0aCambridge urban and architectural studies ;vno. 7.423Publisher descriptionuhttp://www.loc.gov/catdir/enhancements/fy1004/81018160-d.html413Table of contents onlyuhttp://www.loc.gov/catdir/enhancements/fy1004/81018160-t.html