List of books about polyhedra

Last updated

This is a list of books about polyhedra .

Polyhedral models

Cut-out kits

Origami

Other model-making

Mathematical studies

Introductory level and general audience

Textbooks

Monographs and special topics

Edited volumes

History

Early works

Listed in chronological order, and including some works shorter than book length:

Contents

Books about historical topics

Related Research Articles

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Convex Polytopes is a graduate-level mathematics textbook about convex polytopes, higher-dimensional generalizations of three-dimensional convex polyhedra. It was written by Branko Grünbaum, with contributions from Victor Klee, Micha Perles, and G. C. Shephard, and published in 1967 by John Wiley & Sons. It went out of print in 1970. A second edition, prepared with the assistance of Volker Kaibel, Victor Klee, and Günter M. Ziegler, was published by Springer-Verlag in 2003, as volume 221 of their book series Graduate Texts in Mathematics.

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References

  1. Neal, David (March 1987). "Tarquin Polyhedra (review of Paper Polyhedra in Colour)". Mathematics in School. 16 (2): 47. JSTOR   30214199.
  2. "Science News Books". Science News. 144 (21): 335–350. November 20, 1993. JSTOR   3977680. Includes a brief review of Unit Origami: Multidimensional Transformations on p. 350.
  3. Reviews of 3D Geometric Origami: Modular Origami Polyhedra:
  4. Reviews of Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality:
    • Murphey, Bonnie (January 2004). Mathematics Teaching in the Middle School. 9 (5): 288. JSTOR   41181919.{{cite journal}}: CS1 maint: untitled periodical (link)
    • Kessler, Charlotte (January 2004). The Mathematics Teacher. 97 (1): 78. JSTOR   20871510.{{cite journal}}: CS1 maint: untitled periodical (link)
  5. Reviews of Modular Origami Polyhedra (2nd ed.):
  6. Ollerton, Mike (January 1998). "Review of Mathematical Origami: Geometrical Shapes by Paper Folding". Mathematics in School. 27 (1): 47. JSTOR   30211857.
  7. Reviews of Origami Polyhedra Design:
    • Hagedorn, Thomas R. (April 2010). "Review". MAA Reviews. Mathematical Association of America.
    • Luck, Gary S. (March 2011). The Mathematics Teacher. 104 (7): 558. JSTOR   20876948.{{cite journal}}: CS1 maint: untitled periodical (link)
    • Thomas, Rachel (December 2009). "Review". Plus Magazine.
  8. Short, Martha (March 2003). "Review of A Plethora of Polyhedra in Origami". Mathematics Teaching in the Middle School. 8 (7): 380, 382. JSTOR   41181848.
  9. Reviews of Mathematical Models:
  10. Reviews of Build Your Own Polyhedra:
  11. Reviews of Polyhedron Models:
  12. Reviews of Spherical Models:
  13. Reviews of Dual Models:
  14. Reviews of Treks into Intuitive Geometry:
  15. Callahan, Deborah D. (September 2002). "Review of Polyhedra Pastimes". Mathematics Teaching in the Middle School. 8 (1): 64. JSTOR   41181235.
  16. Reviews of Polyhedra:
  17. Hayek, Linda M. (April 1994). "Review of The Platonic Solids Activity Book". The Mathematics Teacher . 87 (4): 298. JSTOR   27968850.
  18. Reviews of Shapes, Space and Symmetry:
  19. Reviews of Les polyèdres:
  20. Grünbaum, Branko (January–February 1988). "Review of An Adventure in Multidimensional Space". American Scientist . 76 (1): 94–95. JSTOR   27855044.
  21. Reviews of Polyhedra Primer:
  22. Coxeter, H. S. M. "Review of Polyhedra: A Visual Approach". Mathematical Reviews . MR   0451161.
  23. Ashbacher, Charles (November 2008). "Review of The Platonic Solids Book". MAA Reviews. Mathematical Association of America.
  24. Hoehn, Larry (February 2003). "Publications". The Mathematics Teacher . 96 (2): 154. doi:10.5951/MT.96.2.0154. JSTOR   20871261. Review of three books including Platonic & Archimedean Solids.
  25. Reviews of Convex Polyhedra:
  26. Reviews of Computing the Continuous Discretely:
  27. Reviews of An Introduction to Convex Polytopes:
  28. Reviews of Regular Polytopes:
  29. Reviews of Regular Figures:
  30. Reviews of Convex Polytopes:
  31. Reviews of Convex Figures and Polyhedra:
  32. Jucovič, E. "Review of Reguläre und halbreguläre Polyeder". MathSciNet (in German). MR   0248605.
  33. Reviews of Lectures in Geometric Combinatorics:
  34. Reviews of Lectures on Polytopes:
  35. Reviews of The Fifty-Nine Icosahedra:
  36. Reviews of Regular Complex Polytopes:
  37. Reviews of Geometric Folding Algorithms:
  38. Reviews of Scale-Isometric Polytopal Graphs:
  39. Reviews of Proofs and Refutations:
  40. Review of Geometric Regular Polytopes:
  41. Reviews of Abstract Regular Polytopes:
  42. Reviews of Convex Polytopes and the Upper Bound Conjecture:
  43. Hertel, E. "Review of Beiträge zur Theorie der Polyeder". MathSciNet (in German). MR   0500548.
  44. Reviews of Convex Polyhedra with Regularity Conditions and Hilbert’s Third Problem:
  45. Reviews of Realization Spaces of Polytopes:
  46. Reviews of Adventures Among the Toroids:
  47. Wenninger, Magnus J. (Spring 1976). "Review of Infinite Polyhedra". Leonardo . 9 (2): 158. doi:10.2307/1573140. JSTOR   1573140.
  48. Reviews of A Theory of Imbedding, Immersion, and Isotopy of Polytopes in a Euclidean Space:
  49. Review of Convex Polyhedra with Regular Faces:
  50. Chilton, J. C. (April 2000). "Review of Beyond the Cube". Journal of the International Association for Shell and Spatial Structures. 41 (1): 132.
  51. Reviews of Shaping Space:
  52. Sanders, P. M. (1984). "Charles de Bovelles's treatise on the regular polyhedra (Paris, 1511)". Annals of Science. 41 (6): 513–566. doi:10.1080/00033798400200401. MR   0780985.
  53. Friedman, Michael (2018). A History of Folding in Mathematics: Mathematizing the Margins. Science Networks. Historical Studies. Vol. 59. Birkhäuser. p. 71. doi:10.1007/978-3-319-72487-4. ISBN   978-3-319-72486-7.
  54. Senechal, Marjorie; Galiulin, R. V. (1984). "An introduction to the theory of figures: the geometry of E. S. Fedorov". Structural Topology (in English and French) (10): 5–22. hdl:2099/1195. MR   0768703.
  55. Schönflies, A. M. "Review of Zur Morphologie der Polyeder". Jahrbuch über die Fortschritte der Mathematik (in German). JFM   23.0544.03.
  56. Reviews of The Polyhedrists:
  57. Reviews of Piero della Francesca's Mathematical Treatises:
    • Tormey, Judith Farr (Spring 1979). The Journal of Aesthetics and Art Criticism. 37 (3): 389–390. doi:10.2307/430812. JSTOR   430812.{{cite journal}}: CS1 maint: untitled periodical (link)
    • Rose, Paul Lawrence (1980). Bibliothèque d'Humanisme et Renaissance. 42 (2): 487–488. JSTOR   20676148.{{cite journal}}: CS1 maint: untitled periodical (link)
    • Maccagni, Carlo (1979). Annali della Scuola Normale Superiore di Pisa. Classe di Lettere e Filosofia (Serie III). 9 (4): 1909–1911. JSTOR   24305449.{{cite journal}}: CS1 maint: untitled periodical (link)
  58. Reviews of Descartes on Polyhedra:
  59. Reviews of Euler's Gem:
  60. Prudence, Paul. "David Wade's 'Fantastic Geometry' – The Works of Wenzel Jamnitzer & Lorenz Stoer". Dataisnature.