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polyhedra In geometry, a polyhedron (plural polyhedra or polyhedrons; ) is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. A convex polyhedron is the convex hull of finitely many points, not all on t ...
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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

* *Reviews of ''3D Geometric Origami: Modular Origami Polyhedra'': * * * * ''Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality'', 2002.Reviews of ''Multimodular Origami Polyhedra: Archimedeans, Buckyballs and Duality'': * * ''Beginner's Book of Modular Origami Polyhedra: The Platonic Solids'', 2008. ''Modular Origami Polyhedra'', also with Lewis Simon, 2nd ed., 1999.Reviews of ''Modular Origami Polyhedra'' (2nd ed.): * * * * ''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 Gottfried Wilhelm (von) Leibniz . ( – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat. He is one of the most prominent figures in both the history of philosophy and the history of mathema ...
reprinted and translated in ''
Descartes on Polyhedra ''Descartes on Polyhedra: A Study of the "De solidorum elementis"'' is a book in the history of mathematics, concerning the work of René Descartes on polyhedra. Central to the book is the disputed priority for Euler's polyhedral formula between ...
'', Springer, 1982. * * * * * * * * * Reprint, Tarquin, 2007, . * * ''Über die gleicheckig-gleichflächigen diskontinuierlichen und nichtkonvexen Polyeder'', 1906. *


Books about historical topics

* * * * * *


References

{{Reflist, 25em Polyhedra
Polyhedra In geometry, a polyhedron (plural polyhedra or polyhedrons; ) is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. A convex polyhedron is the convex hull of finitely many points, not all on t ...
Mathematics books