This is a list of books about polyhedra.
Polyhedral models
Cut-out kits
- Advanced Polyhedra 1: The Final Stellation, . Advanced Polyhedra 2: The Sixth Stellation, . Advanced Polyhedra 3: The Compound of Five Cubes, .
- More Mathematical Curiosities, Tarquin, . Make Shapes 1, . Make Shapes 2, .
- Cut and Assemble 3-D Star Shapes, 1997. Easy-To-Make 3D Shapes in Full Color, 2000.
Origami
- Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality, 2002. Beginner's Book of Modular Origami Polyhedra: The Platonic Solids, 2008. Modular Origami Polyhedra, also with Lewis Simon, 2nd ed., 1999.
- A Plethora of Polyhedra in Origami, Dover, 2002.
Other model-making
- 2nd ed., 1961. 3rd ed., Tarquin, 1981, .
- 2nd ed., Polyhedron Models for the Classroom, 1974. Spherical Models, 1979. Dual Models, 1983.
Mathematical studies
Introductory level and general audience
- Dover, 1991.
- Translated into English as An Adventure in Multidimensional Space: The Art and Geometry of Polygons, Polyhedra, and Polytopes, Wiley, 1986, and into German as Polyeder und Kosmos: Spuren einer mehrdimensionalen Welt, Vieweg, 1987.
Textbooks
- Translated from 1950 Russian edition.
- 2nd ed., 2015, .
- 2nd ed., Macmillan, 1963. 3rd ed., Dover, 1973.
- 2nd ed., Springer, 2003.
- Translated into English as Convex Figures and Polyhedra by T. Jefferson Smith, Dover, 1963 and by Donald L. Barnett, Heath, 1966.
Monographs and special topics
- 2nd ed., Springer, 1982. 3rd ed., Tarquin, 1999.
- 2nd ed., 1991.
- 2nd ed., 1980.
- 2nd ed., 2005.
- Translated and corrected from
Edited volumes
- 2nd ed., Shaping Space: Exploring Polyhedra in Nature, Art, and the Geometrical Imagination, Springer, 2013.
History
Early works
Listed in chronological order, and including some works shorter than book length:
- Translated into English as Harmonies of the World by C. G. Wallis (1939).
- Original manuscript lost; copy by Gottfried Wilhelm Leibniz reprinted and translated in Descartes on Polyhedra, Springer, 1982.
- Reprint, Tarquin, 2007, .
- Reprinted from Sitz. Bay. Akad. Wiss. 1896, pp. 625âÂÂ758.
- ÃÂber die gleicheckig-gleichflächigen diskontinuierlichen und nichtkonvexen Polyeder, 1906.
Books about historical topics
References